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Merlin R. Exactly solvable toy model of autocatalysis: Irreversible relaxation after a quantum quench. Phys Rev E 2023; 108:014104. [PMID: 37583219 DOI: 10.1103/physreve.108.014104] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/13/2023] [Accepted: 06/13/2023] [Indexed: 08/17/2023]
Abstract
A resolvable quantum many-body Hamiltonian is introduced that mimics the behavior of the autocatalytic chemical reaction A+B⇄2B involving two different molecular species, A and B. The model also describes two nonlinearly coupled modes of an optical cavity. Consistent with the current understanding of the relaxation dynamics of integrable systems in isolation, the wave function following a quantum quench exhibits irreversibility with retention of the memory about its initial conditions. Salient features of the model include a marked similarity with conventional quantum decay and a total B-to-A conversion, with associated classical-like behavior of the wave function, when the initial state does not contain A-type molecules.
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Affiliation(s)
- R Merlin
- The Harrison M. Randall Laboratory of Physics, University of Michigan, Ann Arbor, Michigan 48109-1040, USA and Max Planck Institute for the Structure and Dynamics of Matter, Luruper Chausse 149, 22761 Hamburg, Germany
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2
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Jiang MP, Fahy S, Hauber A, Murray ÉD, Savić I, Bray C, Clark JN, Henighan T, Kozina M, Lindenberg AM, Zalden P, Chollet M, Glownia JM, Hoffmann MC, Sato T, Zhu D, Delaire O, May AF, Sales BC, Merlin R, Trigo M, Reis DA. Observation of photo-induced plasmon-phonon coupling in PbTe via ultrafast x-ray scattering. Struct Dyn 2022; 9:024301. [PMID: 35311000 PMCID: PMC8923709 DOI: 10.1063/4.0000133] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 09/25/2021] [Accepted: 02/18/2022] [Indexed: 06/14/2023]
Abstract
We report the observation of photo-induced plasmon-phonon coupled modes in the group IV-VI semiconductor PbTe using ultrafast x-ray diffuse scattering at the Linac Coherent Light Source. We measure the near-zone-center excited-state dispersion of the heavily screened longitudinal optical (LO) phonon branch as extracted from differential changes in x-ray diffuse scattering intensity following above bandgap photoexcitation. We suggest that upon photoexcitation, the LO phonon-plasmon coupled (LOPC) modes themselves become coupled to longitudinal acoustic modes that drive electron band shifts via acoustic deformation potentials and possibly to low-energy single-particle excitations within the plasma and that these couplings give rise to displacement-correlations that oscillate in time with a period given effectively by the heavily screened LOPC frequency.
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Affiliation(s)
| | - S. Fahy
- Tyndall National Institute and Department of Physics, University College, Cork, Ireland
| | - A. Hauber
- Tyndall National Institute and Department of Physics, University College, Cork, Ireland
| | | | - I. Savić
- Tyndall National Institute and Department of Physics, University College, Cork, Ireland
| | | | - J. N. Clark
- Stanford PULSE Institute, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | | | | | | | | | - M. Chollet
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - J. M. Glownia
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - M. C. Hoffmann
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - T. Sato
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - D. Zhu
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - O. Delaire
- Department of Mechanical Engineering and Materials Science, Duke University, Durham, North Carolina 27708, USA
| | - A. F. May
- Materials Science and Technology Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - B. C. Sales
- Materials Science and Technology Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - R. Merlin
- Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA
| | | | - D. A. Reis
- Author to whom correspondence should be addressed:
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3
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Henstridge M, Pfeiffer C, Wang D, Boltasseva A, Shalaev VM, Grbic A, Merlin R. Synchrotron radiation from an accelerating light pulse. Science 2018; 362:439-442. [PMID: 30361369 DOI: 10.1364/optica.5.000678] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/14/2018] [Accepted: 08/30/2018] [Indexed: 05/22/2023]
Abstract
Synchrotron radiation-namely, electromagnetic radiation produced by charges moving in a curved path-is regularly generated at large-scale facilities where giga-electron volt electrons move along kilometer-long circular paths. We use a metasurface to bend light and demonstrate synchrotron radiation produced by a subpicosecond pulse, which moves along a circular arc of radius 100 micrometers inside a nonlinear crystal. The emitted radiation, in the terahertz frequency range, results from the nonlinear polarization induced by the pulse. The generation of synchrotron radiation from a pulse revolving about a circular trajectory holds promise for the development of on-chip terahertz sources.
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Affiliation(s)
- M Henstridge
- Center for Photonics and Multiscale Nanomaterials, University of Michigan, Ann Arbor, 48109, USA
- Department of Physics, University of Michigan, Ann Arbor, MI 48109, USA
| | - C Pfeiffer
- Center for Photonics and Multiscale Nanomaterials, University of Michigan, Ann Arbor, 48109, USA
- Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI 48109, USA
| | - D Wang
- Center for Photonics and Multiscale Nanomaterials, University of Michigan, Ann Arbor, 48109, USA
- School of Electrical and Computer Engineering and Birck Nanotechnology Center, Purdue University, West Lafayette, IN 47907, USA
| | - A Boltasseva
- Center for Photonics and Multiscale Nanomaterials, University of Michigan, Ann Arbor, 48109, USA
- School of Electrical and Computer Engineering and Birck Nanotechnology Center, Purdue University, West Lafayette, IN 47907, USA
| | - V M Shalaev
- Center for Photonics and Multiscale Nanomaterials, University of Michigan, Ann Arbor, 48109, USA
- School of Electrical and Computer Engineering and Birck Nanotechnology Center, Purdue University, West Lafayette, IN 47907, USA
| | - A Grbic
- Center for Photonics and Multiscale Nanomaterials, University of Michigan, Ann Arbor, 48109, USA
- Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI 48109, USA
| | - R Merlin
- Center for Photonics and Multiscale Nanomaterials, University of Michigan, Ann Arbor, 48109, USA.
- Department of Physics, University of Michigan, Ann Arbor, MI 48109, USA
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4
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Henstridge M, Pfeiffer C, Wang D, Boltasseva A, Shalaev VM, Grbic A, Merlin R. Synchrotron radiation from an accelerating light pulse. Science 2018; 362:439-442. [DOI: 10.1126/science.aat5915] [Citation(s) in RCA: 21] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/14/2018] [Accepted: 08/30/2018] [Indexed: 11/02/2022]
Abstract
Synchrotron radiation—namely, electromagnetic radiation produced by charges moving in a curved path—is regularly generated at large-scale facilities where giga–electron volt electrons move along kilometer-long circular paths. We use a metasurface to bend light and demonstrate synchrotron radiation produced by a subpicosecond pulse, which moves along a circular arc of radius 100 micrometers inside a nonlinear crystal. The emitted radiation, in the terahertz frequency range, results from the nonlinear polarization induced by the pulse. The generation of synchrotron radiation from a pulse revolving about a circular trajectory holds promise for the development of on-chip terahertz sources.
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5
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Baldini E, Mann A, Benfatto L, Cappelluti E, Acocella A, Silkin VM, Eremeev SV, Kuzmenko AB, Borroni S, Tan T, Xi XX, Zerbetto F, Merlin R, Carbone F. Real-Time Observation of Phonon-Mediated σ-π Interband Scattering in MgB_{2}. Phys Rev Lett 2017; 119:097002. [PMID: 28949564 DOI: 10.1103/physrevlett.119.097002] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/19/2017] [Indexed: 06/07/2023]
Abstract
In systems having an anisotropic electronic structure, such as the layered materials graphite, graphene, and cuprates, impulsive light excitation can coherently stimulate specific bosonic modes, with exotic consequences for the emergent electronic properties. Here we show that the population of E_{2g} phonons in the multiband superconductor MgB_{2} can be selectively enhanced by femtosecond laser pulses, leading to a transient control of the number of carriers in the σ-electronic subsystem. The nonequilibrium evolution of the material optical constants is followed in the spectral region sensitive to both the a- and c-axis plasma frequencies and modeled theoretically, revealing the details of the σ-π interband scattering mechanism in MgB_{2}.
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Affiliation(s)
- E Baldini
- Institute of Physics, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
- Institute of Chemical Sciences and Engineering, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
| | - A Mann
- Institute of Physics, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
| | - L Benfatto
- Institute for Complex Systems-CNR, and Physics Department, University of Rome "La Sapienza", I-00185 Rome, Italy
| | - E Cappelluti
- Institute for Complex Systems-CNR, and Physics Department, University of Rome "La Sapienza", I-00185 Rome, Italy
| | - A Acocella
- Department of Chemistry "G. Ciamician," Università di Bologna, I-40126 Bologna, Italy
| | - V M Silkin
- Departamento de Física de Materiales, Universidad del País Vasco, 20080 San Sebastián/Donostia, Spain
- Donostia International Physics Center, 20018 San Sebastián/Donostia, Spain
- IKERBASQUE, Basque Foundation for Science, 48011 Bilbao, Spain
| | - S V Eremeev
- Institute of Strength Physics and Materials Science, 634055 Tomsk, Russia
- Tomsk State University, 634050 , Tomsk, Russia
| | - A B Kuzmenko
- Department of Quantum Matter Physics, University of Geneva, CH-1211 Geneva 4, Switzerland
| | - S Borroni
- Institute of Physics, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
| | - T Tan
- Department of Material Science and Engineering, The Pennsylvania State University, Pennsylvania 16802, USA
| | - X X Xi
- Department of Material Science and Engineering, The Pennsylvania State University, Pennsylvania 16802, USA
| | - F Zerbetto
- Department of Chemistry "G. Ciamician," Università di Bologna, I-40126 Bologna, Italy
| | - R Merlin
- Department of Physics, Center for Photonics and Multiscale Nanomaterials, University of Michigan, Ann Arbor, Michigan 48109-1040, USA
| | - F Carbone
- Institute of Physics, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
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Mankowsky R, Liu B, Rajasekaran S, Liu HY, Mou D, Zhou XJ, Merlin R, Först M, Cavalleri A. Dynamical Stability Limit for the Charge Density Wave in K_{0.3}MoO_{3}. Phys Rev Lett 2017; 118:116402. [PMID: 28368632 DOI: 10.1103/physrevlett.118.116402] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/12/2016] [Indexed: 06/07/2023]
Abstract
We study the response of the one-dimensional charge density wave in K_{0.3}MoO_{3} to different types of excitation with femtosecond optical pulses. We compare direct excitation of the lattice at midinfrared frequencies with injection of quasiparticles across the low energy charge density wave gap and with charge transfer excitation in the near infrared. For all three cases, we observe a fluence threshold above which the amplitude-mode oscillation frequency is softened and the mode becomes increasingly damped. We show that all the data can be collapsed onto a universal curve in which the melting of the charge density wave occurs abruptly at a critical lattice excursion. These data highlight the existence of a universal stability limit for a charge density wave, reminiscent of the Lindemann criterion for the melting of a crystal lattice.
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Affiliation(s)
- R Mankowsky
- Max Planck Institute for the Structure and Dynamics of Matter, 22761 Hamburg, Germany
- University of Hamburg, 22761 Hamburg, Germany
| | - B Liu
- Max Planck Institute for the Structure and Dynamics of Matter, 22761 Hamburg, Germany
| | - S Rajasekaran
- Max Planck Institute for the Structure and Dynamics of Matter, 22761 Hamburg, Germany
| | - H Y Liu
- Max Planck Institute for the Structure and Dynamics of Matter, 22761 Hamburg, Germany
| | - D Mou
- Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
| | - X J Zhou
- Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
| | - R Merlin
- Department of Physics, University of Michigan, Ann Arbor, Michigan 48109-1040, USA
| | - M Först
- Max Planck Institute for the Structure and Dynamics of Matter, 22761 Hamburg, Germany
| | - A Cavalleri
- Max Planck Institute for the Structure and Dynamics of Matter, 22761 Hamburg, Germany
- University of Hamburg, 22761 Hamburg, Germany
- Department of Physics, Oxford University, Clarendon Laboratory, Oxford OX1 3PU, United Kingdom
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7
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Jiang MP, Trigo M, Savić I, Fahy S, Murray ÉD, Bray C, Clark J, Henighan T, Kozina M, Chollet M, Glownia JM, Hoffmann MC, Zhu D, Delaire O, May AF, Sales BC, Lindenberg AM, Zalden P, Sato T, Merlin R, Reis DA. The origin of incipient ferroelectricity in lead telluride. Nat Commun 2016; 7:12291. [PMID: 27447688 PMCID: PMC4961866 DOI: 10.1038/ncomms12291] [Citation(s) in RCA: 24] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/01/2016] [Accepted: 06/20/2016] [Indexed: 11/09/2022] Open
Abstract
The interactions between electrons and lattice vibrations are fundamental to materials behaviour. In the case of group IV–VI, V and related materials, these interactions are strong, and the materials exist near electronic and structural phase transitions. The prototypical example is PbTe whose incipient ferroelectric behaviour has been recently associated with large phonon anharmonicity and thermoelectricity. Here we show that it is primarily electron-phonon coupling involving electron states near the band edges that leads to the ferroelectric instability in PbTe. Using a combination of nonequilibrium lattice dynamics measurements and first principles calculations, we find that photoexcitation reduces the Peierls-like electronic instability and reinforces the paraelectric state. This weakens the long-range forces along the cubic direction tied to resonant bonding and low lattice thermal conductivity. Our results demonstrate how free-electron-laser-based ultrafast X-ray scattering can be utilized to shed light on the microscopic mechanisms that determine materials properties. Group IV–VI materials often exist in a state near an electronic or structural phase transition. Here, the authors use ultrafast X-ray scattering to show that coupling of band-edge electrons and phonons causes the ferroelectric instability observed in lead telluride.
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Affiliation(s)
- M P Jiang
- Stanford PULSE Institute, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA.,Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA.,Department of Physics, Stanford University, Stanford, California 94305, USA
| | - M Trigo
- Stanford PULSE Institute, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA.,Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - I Savić
- Tyndall National Institute, Lee Maltings Complex, Dyke Parade, Cork T12R5CP, Ireland.,Department of Physics, University College Cork, College Road, Cork, Ireland
| | - S Fahy
- Tyndall National Institute, Lee Maltings Complex, Dyke Parade, Cork T12R5CP, Ireland.,Department of Physics, University College Cork, College Road, Cork, Ireland
| | - É D Murray
- Tyndall National Institute, Lee Maltings Complex, Dyke Parade, Cork T12R5CP, Ireland.,Department of Physics, University College Cork, College Road, Cork, Ireland.,Departments of Physics and Materials, Imperial College London, London SW7 2AZ, UK
| | - C Bray
- Stanford PULSE Institute, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA.,Department of Applied Physics, Stanford University, Stanford, California 94305, USA
| | - J Clark
- Stanford PULSE Institute, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - T Henighan
- Stanford PULSE Institute, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA.,Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA.,Department of Physics, Stanford University, Stanford, California 94305, USA
| | - M Kozina
- Stanford PULSE Institute, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA.,Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA.,Department of Applied Physics, Stanford University, Stanford, California 94305, USA
| | - M Chollet
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - J M Glownia
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - M C Hoffmann
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - D Zhu
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - O Delaire
- Department of Mechanical Engineering and Materials Science, Duke University, Durham, North Carolina 27708, USA.,Materials Science and Technology Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - A F May
- Materials Science and Technology Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - B C Sales
- Materials Science and Technology Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - A M Lindenberg
- Stanford PULSE Institute, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA.,Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA.,Department of Materials Science and Engineering, Stanford University, Stanford, California 94305, USA
| | - P Zalden
- Stanford PULSE Institute, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA.,Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA.,Department of Materials Science and Engineering, Stanford University, Stanford, California 94305, USA
| | - T Sato
- RIKEN SPring-8 Center, Kouto 1-1-1, Sayo, Hyogo 679-5148, Japan.,Department of Chemistry, The School of Science, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan
| | - R Merlin
- Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA
| | - D A Reis
- Stanford PULSE Institute, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA.,Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA.,Departments of Physics and Materials, Imperial College London, London SW7 2AZ, UK
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8
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Abstract
It is well known that defects, such as holes, inside an infinite photonic crystal can sustain localized resonant modes whose frequencies fall within a forbidden band. Here we prove that finite, defect-free photonic crystals behave as mirrorless resonant cavities for frequencies within but near the edges of an allowed band, regardless of the shape of their outer boundary. The resonant modes are extended, surface-avoiding (nearly-Dirichlet) states that may lie inside or outside the light cone. Independent of the dimensionality, quality factors and finesses are on the order of, respectively, (L/λ)3 and L/λ, where λ is the vacuum wavelength and L >> λ is a typical size of the crystal. Similar topological modes exist in conventional Fabry-Pérot resonators, and in plasmonic media at frequencies just above those at which the refractive index vanishes.
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9
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Padmanabhan P, Young SM, Henstridge M, Bhowmick S, Bhattacharya PK, Merlin R. Observation of standing waves of electron-hole sound in a photoexcited semiconductor. Phys Rev Lett 2014; 113:027402. [PMID: 25062229 DOI: 10.1103/physrevlett.113.027402] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/22/2014] [Indexed: 06/03/2023]
Abstract
Three-dimensional multicomponent plasmas composed of species with very different masses support a new branch of charge-density fluctuations known as acoustic plasmons. Here, we report on an ultrafast optical method to generate and probe coherent states of acoustic plasmons in a slab of GaAs, which relies on strong photoexcitation to create a large population of light electrons and heavy holes. Consistent with the random-phase-approximation theory, the data reveal standing plasma waves confined to these slabs, similar to those of conventional sound but with associated velocities that are significantly larger.
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Affiliation(s)
- P Padmanabhan
- Center for Photonics and Multiscale Nanomaterials, University of Michigan, Ann Arbor, Michigan 48109, USA and Department of Physics, University of Michigan, Ann Arbor, Michigan 48109-1040, USA
| | - S M Young
- Center for Photonics and Multiscale Nanomaterials, University of Michigan, Ann Arbor, Michigan 48109, USA and Department of Physics, University of Michigan, Ann Arbor, Michigan 48109-1040, USA
| | - M Henstridge
- Center for Photonics and Multiscale Nanomaterials, University of Michigan, Ann Arbor, Michigan 48109, USA and Department of Physics, University of Michigan, Ann Arbor, Michigan 48109-1040, USA
| | - S Bhowmick
- Center for Photonics and Multiscale Nanomaterials, University of Michigan, Ann Arbor, Michigan 48109, USA and Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, Michigan 48109-2122, USA
| | - P K Bhattacharya
- Center for Photonics and Multiscale Nanomaterials, University of Michigan, Ann Arbor, Michigan 48109, USA and Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, Michigan 48109-2122, USA
| | - R Merlin
- Center for Photonics and Multiscale Nanomaterials, University of Michigan, Ann Arbor, Michigan 48109, USA and Department of Physics, University of Michigan, Ann Arbor, Michigan 48109-1040, USA
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10
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Li JJ, Chen J, Reis DA, Fahy S, Merlin R. Optical probing of ultrafast electronic decay in Bi and Sb with slow phonons. Phys Rev Lett 2013; 110:047401. [PMID: 25166198 DOI: 10.1103/physrevlett.110.047401] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/21/2012] [Indexed: 06/03/2023]
Abstract
Illumination with laser sources leads to the creation of excited electronic states of particular symmetries, which can drive isosymmetric vibrations. Here, we use a combination of ultrafast stimulated and cw spontaneous Raman scattering to determine the lifetime of A(1g) and E(g) electronic coherences in Bi and Sb. Our results both shed new light on the mechanisms of coherent phonon generation and represent a novel way to probe extremely fast electron decoherence rates. The E(g) state, resulting from an unequal distribution of carriers in three equivalent band regions, is extremely short lived. Consistent with theory, the lifetime of its associated driving force reaches values as small as 2 (6) fs for Bi (Sb) at 300 K.
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Affiliation(s)
- J J Li
- Department of Physics, University of Michigan, Ann Arbor, MI 48109-1040, USA
| | - J Chen
- Stanford PULSE Institute, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - D A Reis
- Stanford PULSE Institute, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA and Departments of Photon Science and Applied Physics, Stanford University, Stanford, CA 94309, USA
| | - S Fahy
- Tyndall National Institute and Department of Physics, University College, Cork, Ireland
| | - R Merlin
- Department of Physics, University of Michigan, Ann Arbor, MI 48109-1040, USA
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11
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Wang DM, Ren YH, Jacobs PW, Fahy S, Liu X, Furdyna JK, Sapega VF, Merlin R. Observation of insulating nanoislands in ferromagnetic GaMnAs. Phys Rev Lett 2009; 102:256401. [PMID: 19659101 DOI: 10.1103/physrevlett.102.256401] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/05/2009] [Revised: 05/04/2009] [Indexed: 05/28/2023]
Abstract
Resonant Raman data on ferromagnetic GaMnAs reveal the existence of a new kind of defect: insulating nanoislands consisting of substitutional MnGa acceptors surrounded by interstitial MnI donors. As indicated by the observation of a sharp 1S3/2-->2S3/2 Raman transition at approximately 703 cm(-1), the acceptor-bound holes inside the islands are isolated from the metallic surroundings. Instead, Mn-bound excitons do couple to the ferromagnetic environment, as shown by the presence of associated Raman magnon side bands. This leads to an estimate of 5-10 nm for the nanoisland radius. The islands disappear after annealing due to the removal of the MnI ions.
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Affiliation(s)
- D M Wang
- Department of Physics, University of Michigan, Ann Arbor, Michigan 48109-1040, USA
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12
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Trigo M, Sheu YM, Arms DA, Chen J, Ghimire S, Goldman RS, Landahl E, Merlin R, Peterson E, Reason M, Reis DA. Probing unfolded acoustic phonons with X rays. Phys Rev Lett 2008; 101:025505. [PMID: 18764197 DOI: 10.1103/physrevlett.101.025505] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/06/2008] [Indexed: 05/26/2023]
Abstract
Ultrafast laser excitation of an InGaAs/InAlAs superlattice (SL) creates coherent folded acoustic phonons that subsequently leak into the bulk (InP) substrate. Upon transmission, the phonons become "unfolded" into bulk modes and acquire a wave vector much larger than that of the light. We show that time-resolved x-ray diffraction is sensitive to this large-wave vector excitation in the substrate. Comparison with dynamical diffraction simulations of propagating strain supports our interpretation.
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Affiliation(s)
- M Trigo
- Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA.
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13
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Abstract
Diffraction restricts the ability of most electromagnetic devices to image or selectively target objects smaller than the wavelength. We describe planar subwavelength structures capable of focusing well beyond the diffraction limit, operating at arbitrary frequencies. The structure design, related to that of Fresnel plates, forces the input field to converge to a spot on the focal plane. However, unlike the diffraction-limited zone plates, for which focusing results from the interference of traveling waves, the subwavelength plates control the near field and, as such, their superlensing properties originate from a static form of interference. Practical implementations of these plates hold promise for near-field data storage, noncontact sensing, imaging, and nanolithography applications.
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Affiliation(s)
- R Merlin
- Department of Physics, The University of Michigan, Ann Arbor, MI 48109-1040, USA.
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14
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Affiliation(s)
- R. Merlin
- a The Harrison M. Randall Laboratory of Physics, The University of Michigan , Ann Arbor , MI , 48109-1120 , USA
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15
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Trigo M, Eckhause TA, Reason M, Goldman RS, Merlin R. Observation of surface-avoiding waves: a new class of extended states in periodic media. Phys Rev Lett 2006; 97:124301. [PMID: 17025971 DOI: 10.1103/physrevlett.97.124301] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/11/2006] [Indexed: 05/12/2023]
Abstract
Coherent time-domain optical experiments on GaAs-AlAs superlattices reveal the existence of an unusually long-lived acoustic mode at approximately 0.6 THz which couples weakly to the environment by evading the sample boundaries. Classical as well as quantum states that steer clear of surfaces are generally shown to occur in the spectrum of periodic structures, for most boundary conditions. These surface-avoiding waves are associated with frequencies outside forbidden gaps and wave vectors in the vicinity of the center and edge of the Brillouin zone. Possible consequences for surface science and resonant-cavity applications are discussed.
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Affiliation(s)
- M Trigo
- FOCUS Center and Department of Physics, The University of Michigan, Ann Arbor, MI 48109-1040, USA
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16
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Zhao J, Bragas AV, Lockwood DJ, Merlin R. Magnon squeezing in an antiferromagnet: reducing the spin noise below the standard quantum limit. Phys Rev Lett 2004; 93:107203. [PMID: 15447444 DOI: 10.1103/physrevlett.93.107203] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/17/2003] [Indexed: 05/24/2023]
Abstract
We report the first experimental demonstration of quantum squeezing of a collective spin-wave excitation (magnon) using femtosecond optical pulses to generate correlations involving pairs of spins in an antiferromagnetic insulator MnF2. In the squeezed state, the fluctuations of the magnetization of a crystallographic unit cell vary periodically in time and are reduced below that of the ground-state quantum noise.
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Affiliation(s)
- Jimin Zhao
- Focus Center and Department of Physics, The University of Michigan, Ann Arbor, Michigan 48109-1120, USA
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17
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Bao JM, Pfeiffer LN, West KW, Merlin R. Ultrafast dynamic control of spin and charge density oscillations in a GaAs quantum well. Phys Rev Lett 2004; 92:236601. [PMID: 15245181 DOI: 10.1103/physrevlett.92.236601] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/06/2003] [Indexed: 05/24/2023]
Abstract
We use subpicosecond laser pulses to generate and monitor in real time collective oscillations of electrons in a modulation-doped GaAs quantum well. The observed frequencies match those of intersubband spin- and charge-density excitations. Light couples to coherent density fluctuations through resonant stimulated Raman scattering. Because the spin- and charge-related modes obey different selection rules and resonant behavior, the amplitudes of the corresponding oscillations can be independently controlled by using shaped pulses of the proper polarization.
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Affiliation(s)
- J M Bao
- Focus Center and Department of Physics, The University of Michigan, Ann Arbor, Michigan 48109-1120, USA
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18
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DeCamp MF, Reis DA, Cavalieri A, Bucksbaum PH, Clarke R, Merlin R, Dufresne EM, Arms DA, Lindenberg AM, MacPhee AG, Chang Z, Lings B, Wark JS, Fahy S. Transient strain driven by a dense electron-hole plasma. Phys Rev Lett 2003; 91:165502. [PMID: 14611411 DOI: 10.1103/physrevlett.91.165502] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/31/2002] [Indexed: 05/06/2023]
Abstract
We measure transient strain in ultrafast laser-excited Ge by time-resolved x-ray anomalous transmission. The development of the coherent strain pulse is dominated by rapid ambipolar diffusion. This pulse extends considerably longer than the laser penetration depth because the plasma initially propagates faster than the acoustic modes. X-ray diffraction simulations are in agreement with the observed dynamics.
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Affiliation(s)
- M F DeCamp
- FOCUS Center and Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA
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19
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DeCamp MF, Reis DA, Bucksbaum PH, Adams B, Caraher JM, Clarke R, Conover CW, Dufresne EM, Merlin R, Stoica V, Wahlstrand JK. Coherent control of pulsed X-ray beams. Nature 2001; 413:825-8. [PMID: 11677601 DOI: 10.1038/35101560] [Citation(s) in RCA: 63] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Abstract
Synchrotrons produce continuous trains of closely spaced X-ray pulses. Application of such sources to the study of atomic-scale motion requires efficient modulation of these beams on timescales ranging from nanoseconds to femtoseconds. However, ultrafast X-ray modulators are not generally available. Here we report efficient subnanosecond coherent switching of synchrotron beams by using acoustic pulses in a crystal to modulate the anomalous low-loss transmission of X-ray pulses. The acoustic excitation transfers energy between two X-ray beams in a time shorter than the synchrotron pulse width of about 100 ps. Gigahertz modulation of the diffracted X-rays is also observed. We report different geometric arrangements, such as a switch based on the collision of two counter-propagating acoustic pulses: this doubles the X-ray modulation frequency, and also provides a means of observing a localized transient strain inside an opaque material. We expect that these techniques could be scaled to produce subpicosecond pulses, through laser-generated coherent optical phonon modulation of X-ray diffraction in crystals. Such ultrafast capabilities have been demonstrated thus far only in laser-generated X-ray sources, or through the use of X-ray streak cameras.
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Affiliation(s)
- M F DeCamp
- Department of Physics and FOCUS Center, University of Michigan, Ann Arbor, Michigan 48109, USA.
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20
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Reis DA, DeCamp MF, Bucksbaum PH, Clarke R, Dufresne E, Hertlein M, Merlin R, Falcone R, Kapteyn H, Murnane MM, Larsson J, Missalla T, Wark JS. Probing impulsive strain propagation with X-ray pulses. Phys Rev Lett 2001; 86:3072-5. [PMID: 11290110 DOI: 10.1103/physrevlett.86.3072] [Citation(s) in RCA: 35] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/28/2000] [Indexed: 05/22/2023]
Abstract
Pump-probe time-resolved x-ray diffraction of allowed and nearly forbidden reflections in InSb is used to follow the propagation of a coherent acoustic pulse generated by ultrafast laser excitation. The surface and bulk components of the strain could be simultaneously measured due to the large x-ray penetration depth. Comparison of the experimental data with dynamical diffraction simulations suggests that the conventional model for impulsively generated strain underestimates the partitioning of energy into coherent modes.
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Affiliation(s)
- D A Reis
- Departement of Physics, University of Michigan, Ann Arbor 48109-1120, USA
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21
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Abstract
Charged particles traveling through matter at speeds larger than the phase velocity of light in the medium emit Cherenkov radiation. Calculations reveal that a given angle of the radiation conical wavefront is associated with two velocities, one above and one below a certain speed threshold. Emission at subluminal but not superluminal speeds is predicted and verified experimentally for relativistic dipoles generated with an optical method based on subpicosecond pulses moving in a nonlinear medium. The dipolar Cherenkov field, in the range of infrared-active phonons, is identical to that of phonon polaritons produced by impulsive laser excitation.
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Affiliation(s)
- T E Stevens
- The Harrison M. Randall Laboratory of Physics, University of Michigan, Ann Arbor, MI 48109-1120, USA
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22
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Garrett G, Whitaker J, Sood A, Merlin R. Ultrafast Optical Excitation of a Combined Coherent-Squeezed Phonon field in SrTiO3. Opt Express 1997; 1:385-389. [PMID: 19377561 DOI: 10.1364/oe.1.000385] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/27/2023]
Abstract
We have simultaneously excited a coherent and a squeezed phonon field in SrTiO3 using femtosecond laser pulses and stimulated Raman scattering. The frequency of the coherent state (a 1.3 THz) is that of the A1g-component of the soft mode responsible for the cubic-tetragonal phase transformation at approximately 110 K. The squeezed field involves a continuum of transverse acoustic phonons dominated by a narrow peak in the density of states at a 6.9 THz.
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Abstract
Femtosecond laser pulses and coherent two-phonon Raman scattering were used to excite KTaO3 into a squeezed state, nearly periodic in time, in which the variance of the atomic displacements dips below the standard quantum limit for half of a cycle. This nonclassical state involves a continuum of transverse acoustic modes that leads to oscillations in the refractive index associated with the frequency of a van Hove singularity in the phonon density of states.
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Affiliation(s)
- GA Garrett
- G. A. Garrett, A. K. Sood, R. Merlin, Center for Ultrafast Optical Science, University of Michigan, Ann Arbor, MI 48109-2099, and Department of Physics, University of Michigan, Ann Arbor, MI 48109-1120, USA. A. G. Rojo, Department of Physics, University of Michigan, Ann Arbor, MI 48109-1120, USA. J. F. Whitaker, Center for Ultrafast Optical Science, University of Michigan, Ann Arbor, MI 48109-2099, USA
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Garrett GA, Albrecht TF, Whitaker JF, Merlin R. Coherent THz Phonons Driven by Light Pulses and the Sb Problem: What is the Mechanism? Phys Rev Lett 1996; 77:3661-3664. [PMID: 10062276 DOI: 10.1103/physrevlett.77.3661] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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25
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Rojo AG, Merlin R. Persistent magnetic moment of rotating mesoscopic rings and cylinders. Phys Rev B Condens Matter 1996; 54:1877-1879. [PMID: 9986035 DOI: 10.1103/physrevb.54.1877] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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26
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Kastrup J, Klann R, Grahn HT, Ploog K, Bonilla LL, Galán J, Kindelan M, Moscoso M, Merlin R. Self-oscillations of domains in doped GaAs-AlAs superlattices. Phys Rev B Condens Matter 1995; 52:13761-13764. [PMID: 9980583 DOI: 10.1103/physrevb.52.13761] [Citation(s) in RCA: 47] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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27
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Nori F, Merlin R, Haas S, Sandvik AW, Dagotto E. Magnetic raman scattering in two-dimensional spin-1/2 Heisenberg antiferromagnets: Spectral shape anomaly and magnetostrictive effects. Phys Rev Lett 1995; 75:553-556. [PMID: 10060050 DOI: 10.1103/physrevlett.75.553] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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28
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Liu Y, Frenkel A, Garrett GA, Whitaker JF, Fahy S, Uher C, Merlin R. Impulsive light scattering by coherent phonons in LaAlO3: Disorder and boundary effects. Phys Rev Lett 1995; 75:334-337. [PMID: 10059668 DOI: 10.1103/physrevlett.75.334] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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29
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Kwok SH, Norris TB, Bonilla LL, Galán J, Cuesta JA, Martínez FC, Molera JM, Grahn HT, Ploog K, Merlin R. Domain-wall kinetics and tunneling-induced instabilities in superlattices. Phys Rev B Condens Matter 1995; 51:10171-10174. [PMID: 9977696 DOI: 10.1103/physrevb.51.10171] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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30
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Kwok SH, Grahn HT, Ramsteiner M, Ploog K, Prengel F, Wacker A, Schöll E, Murugkar S, Merlin R. Nonresonant carrier transport through high-field domains in semiconductor superlattices. Phys Rev B Condens Matter 1995; 51:9943-9951. [PMID: 9977669 DOI: 10.1103/physrevb.51.9943] [Citation(s) in RCA: 23] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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31
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Kwok SH, Merlin R, Grahn HT, Ploog K. Electric-field domains in semiconductor superlattices: Resonant and nonresonant tunneling. Phys Rev B Condens Matter 1994; 50:2007-2010. [PMID: 9976403 DOI: 10.1103/physrevb.50.2007] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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33
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Murugkar S, Kwok SH, Ambrazevicius G, Grahn HT, Ploog K, Merlin R. Growth of electric-field domains in quantum-well structures: Correlation with intersubband Raman scattering. Phys Rev B Condens Matter 1994; 49:16849-16851. [PMID: 10010861 DOI: 10.1103/physrevb.49.16849] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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34
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Rosenblum S, Francis AH, Merlin R. Two-magnon light scattering in the layered antiferromagnet NiPS3: Spin-1/2-like anomalies in a spin-1 system. Phys Rev B Condens Matter 1994; 49:4352-4355. [PMID: 10011344 DOI: 10.1103/physrevb.49.4352] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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35
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Jiang M, Wang H, Merlin R, Steel DG, Cardona M. Nonlinear optical spectroscopy in GaAs: Magnetic freezeout of excitons. Phys Rev B Condens Matter 1993; 48:15476-15479. [PMID: 10008095 DOI: 10.1103/physrevb.48.15476] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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36
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Massey MJ, Merlin R, Girvin SM. Raman scattering in FeBO3 at high pressures: Phonon coupled to spin-pair fluctuations and magneto-deformation potentials. Phys Rev Lett 1992; 69:2299-2302. [PMID: 10046449 DOI: 10.1103/physrevlett.69.2299] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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37
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Kwok SH, Grahn HT, Ploog K, Merlin R. Giant electropleochroism in GaAs-(Al,Ga)As heterostructures: The quantum-well Pockels effect. Phys Rev Lett 1992; 69:973-976. [PMID: 10047082 DOI: 10.1103/physrevlett.69.973] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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38
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Wang H, Jiang M, Merlin R, Steel DG. Spin-flip-induced hole burning in GaAs quantum wells: Determination of the exciton Zeeman splitting. Phys Rev Lett 1992; 69:804-807. [PMID: 10047037 DOI: 10.1103/physrevlett.69.804] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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39
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Abstract
Bulimia is a serious eating disorder that affects up to 19% of women in the United States. Research shows that bulimia may present a threat to the normal course of pregnancy. Nursing can play an important role in the prevention of maternal and neonatal morbidity through the early detection of bulimia. Bulimia and its impact on pregnancy are described to assist nurses in the early detection and referral of women with this disorder.
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Affiliation(s)
- R Merlin
- St. Luke's/Roosevelt Hospital Center, New York, NY 10019
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40
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Borroff R, Merlin R, Pamulapati J, Bhattacharya PK, Tejedor C. Raman scattering by coupled intersubband-Landau-level excitations in quantum-well structures. Phys Rev B Condens Matter 1991; 43:2081-2087. [PMID: 9997477 DOI: 10.1103/physrevb.43.2081] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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41
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Massey MJ, Chen NH, Allen JW, Merlin R. Pressure dependence of two-magnon Raman scattering in NiO. Phys Rev B Condens Matter 1990; 42:8776-8779. [PMID: 9995087 DOI: 10.1103/physrevb.42.8776] [Citation(s) in RCA: 38] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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42
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Merlin R, Kessler DA. Photoexcited quantum wells: Nonlinear screening, bistability, and negative differential capacitance. Phys Rev B Condens Matter 1990; 41:9953-9957. [PMID: 9993379 DOI: 10.1103/physrevb.41.9953] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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43
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Kessler DA, Merlin R. Low-density quantum plasmas: Semiclassical screening oscillations. Phys Rev B Condens Matter 1990; 41:10856-10858. [PMID: 9993501 DOI: 10.1103/physrevb.41.10856] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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44
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Massey MJ, Baier U, Merlin R, Weber WH. Effects of pressure and isotopic substitution on the Raman spectrum of alpha -Fe2O3: Identification of two-magnon scattering. Phys Rev B Condens Matter 1990; 41:7822-7827. [PMID: 9993079 DOI: 10.1103/physrevb.41.7822] [Citation(s) in RCA: 59] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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45
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46
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47
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48
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49
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Bajema K, Merlin R. Raman scattering by acoustic phonons in Fibonacci GaAs-AlAs superlattices. Phys Rev B Condens Matter 1987; 36:4555-4557. [PMID: 9943462 DOI: 10.1103/physrevb.36.4555] [Citation(s) in RCA: 50] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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50
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Ambrazevicius G, Cardona M, Merlin R. Resonant Raman scattering by phonons in a strong magnetic field: GaAs. Phys Rev Lett 1987; 59:700-703. [PMID: 10035848 DOI: 10.1103/physrevlett.59.700] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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