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Keser AC, Lyanda-Geller Y, Sushkov OP. Nonlinear Quantum Electrodynamics in Dirac Materials. PHYSICAL REVIEW LETTERS 2022; 128:066402. [PMID: 35213194 DOI: 10.1103/physrevlett.128.066402] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/29/2021] [Revised: 10/28/2021] [Accepted: 01/13/2022] [Indexed: 06/14/2023]
Abstract
Classical electromagnetism is linear. However, fields can polarize the vacuum Dirac sea, causing quantum nonlinear electromagnetic phenomena, e.g., scattering and splitting of photons, that occur only in very strong fields found in neutron stars or heavy ion colliders. We show that strong nonlinearity arises in Dirac materials at much lower fields ∼1 T, allowing us to explore the nonperturbative, extremely high field limit of quantum electrodynamics in solids. We explain recent experiments in a unified framework and predict a new class of nonlinear magnetoelectric effects, including a magnetic enhancement of dielectric constant of insulators and a strong electric modulation of magnetization. We propose experiments and discuss the applications in novel materials.
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Affiliation(s)
- Aydın Cem Keser
- School of Physics, University of New South Wales, Sydney, New South Wales 2052, Australia
- Australian Research Council Centre of Excellence in Low-Energy Electronics Technologies, University of New South Wales, Sydney, New South Wales 2052, Australia
| | - Yuli Lyanda-Geller
- Department of Physics and Astronomy, Purdue University, West Lafayette, Indiana 47907, USA
| | - Oleg P Sushkov
- School of Physics, University of New South Wales, Sydney, New South Wales 2052, Australia
- Australian Research Council Centre of Excellence in Low-Energy Electronics Technologies, University of New South Wales, Sydney, New South Wales 2052, Australia
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2
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Ekuma CE. Fingerprints of native defects in monolayer PbTe. NANOSCALE ADVANCES 2019; 1:513-521. [PMID: 36132243 PMCID: PMC9481224 DOI: 10.1039/c8na00125a] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 08/03/2018] [Accepted: 10/27/2018] [Indexed: 06/15/2023]
Abstract
Understanding the intricate interplay of defects and electron-electron interactions is crucial to exploiting the full potential of materials for practical applications. At the nanoscale, the combined effects are more pronounced due to quantum confinement and can have both positive and negative subtle effects on device performance. Herein, we report optoelectronic properties of pristine and disordered monolayer PbTe. We obtain the pristine electronic structure from first-principles calculations with the modified Becke-Johnson potential. We study the combined impact of random defects due to Te and Pb vacancies and material-specific electron-electron interactions on the electronic and optical properties of monolayer PbTe. We use a generalized energy-dependent Anderson-Hubbard Hamiltonian within a first-principles-based many-body typical medium method to self-consistently calculate the single-particle electronic structure. The absorption spectra, which also accounted for the effects of electron-hole interactions, are studied using valence electron energy-loss spectroscopy (VEELS) and they are obtained by solving the Bethe-Salpeter equation. Our results show an anomalous dependence on spin-orbit coupling for the pristine nanostructure and demonstrate that increased vacancy concentrations lead to, among other things, enhancement of the band gap, resonant shallow impurities, strong renormalization of the VEELS, and a systematic increase of the effective plasmon energy.
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Affiliation(s)
- C E Ekuma
- U.S. Army Research Laboratory, Aberdeen Proving Ground MD 21005-5069 USA
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Adeleke AA, Yao Y. B1-B2 phase transition mechanism and pathway of PbS under pressure. J Chem Phys 2018; 148:104503. [PMID: 29544306 DOI: 10.1063/1.5010381] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Experimental studies at finite Pressure-Temperature (P-T) conditions and a theoretical study at 0 K of the phase transition in lead sulphide (PbS) have been inconclusive. Many studies that have been done to understand structural transformation in PbS can broadly be classified into two main ideological streams-one with Pnma and another with Cmcm orthorhombic intermediate phase. To foster better understanding of this phenomenon, we present the result of the first-principles study of phase transition in PbS at finite temperature. We employed the particle swarm-intelligence optimization algorithm for the 0 K structure search and first-principles metadynamics simulations to study the phase transition pathway of PbS from the ambient pressure, 0 K Fm-3m structure to the high-pressure Pm-3m phase under experimentally achievable P-T conditions. Significantly, our calculation shows that both streams are achievable under specific P-T conditions. We further uncover new tetragonal and monoclinic structures of PbS with space group P21/c and I41/amd, respectively. We propose the P21/c and I41/amd as a precursor phase to the Pnma and Cmcm phases, respectively. We investigated the stability of the new structures and found them to be dynamically stable at their stability pressure range. Electronic structure calculations reveal that both P21/c and I41/amd phases are semiconducting with direct and indirect bandgap energies of 0.69(5) eV and 0.97(3) eV, respectively. In general, both P21/c and I41/amd phases were found to be energetically competitive with their respective orthorhombic successors.
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Affiliation(s)
- Adebayo A Adeleke
- Department of Physics and Engineering Physics, University of Saskatchewan, Saskatoon, Saskatchewan S7N 5E2, Canada
| | - Yansun Yao
- Department of Physics and Engineering Physics, University of Saskatchewan, Saskatoon, Saskatchewan S7N 5E2, Canada
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Singh S, Li C, Panzer F, Narasimhan KL, Graeser A, Gujar TP, Köhler A, Thelakkat M, Huettner S, Kabra D. Effect of Thermal and Structural Disorder on the Electronic Structure of Hybrid Perovskite Semiconductor CH3NH3PbI3. J Phys Chem Lett 2016; 7:3014-21. [PMID: 27435936 DOI: 10.1021/acs.jpclett.6b01207] [Citation(s) in RCA: 63] [Impact Index Per Article: 7.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 05/25/2023]
Abstract
In this Letter, we investigate the temperature dependence of the optical properties of methylammonium lead iodide (MAPbI3 = CH3NH3PbI3) from room temperature to 6 K. In both the tetragonal (T > 163 K) and the orthorhombic (T < 163 K) phases of MAPbI3, the band gap (from both absorption and photoluminescence (PL) measurements) decreases with decrease in temperature, in contrast to what is normally seen for many inorganic semiconductors, such as Si, GaAs, GaN, etc. We show that in the perovskites reported here, the temperature coefficient of thermal expansion is large and accounts for the positive temperature coefficient of the band gap. A detailed analysis of the exciton line width allows us to distinguish between static and dynamic disorder. The low-energy tail of the exciton absorption is reminiscent of Urbach absorption. The Urbach energy is a measure of the disorder, which is modeled using thermal and static disorder for both the phases separately. The static disorder component, manifested in the exciton line width at low temperature, is small. Above 60 K, thermal disorder increases the line width. Both these features are a measure of the high crystal quality and low disorder of the perovskite films even though they are produced from solution.
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Affiliation(s)
- Shivam Singh
- Department of Physics, Indian Institute of Technology Bombay , Powai, Mumbai, India 400076
| | - Cheng Li
- Organic and Hybrid Electronics, Macromolecular Chemistry I, Universität Bayreuth , Bayreuth 95440, Germany
| | - Fabian Panzer
- Experimental Physics II & Bayreuth Institute of Macromolecular Research (BIMF), Universität Bayreuth , Bayreuth 95440, Germany
- Department of Functional Materials, Universität Bayreuth , Bayreuth 95440, Germany
| | - K L Narasimhan
- Department of Electrical Engineering, Indian Institute of Technology Bombay , Powai, Mumbai, India 400076
| | - Anna Graeser
- Organic and Hybrid Electronics, Macromolecular Chemistry I, Universität Bayreuth , Bayreuth 95440, Germany
| | - Tanaji P Gujar
- Applied Functional Polymers, Macromolecular Chemistry I, Universität Bayreuth , Bayreuth 95440, Germany
| | - Anna Köhler
- Experimental Physics II & Bayreuth Institute of Macromolecular Research (BIMF), Universität Bayreuth , Bayreuth 95440, Germany
| | - Mukundan Thelakkat
- Applied Functional Polymers, Macromolecular Chemistry I, Universität Bayreuth , Bayreuth 95440, Germany
| | - Sven Huettner
- Organic and Hybrid Electronics, Macromolecular Chemistry I, Universität Bayreuth , Bayreuth 95440, Germany
| | - Dinesh Kabra
- Department of Physics, Indian Institute of Technology Bombay , Powai, Mumbai, India 400076
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Swart I, Liljeroth P, Vanmaekelbergh D. Scanning probe microscopy and spectroscopy of colloidal semiconductor nanocrystals and assembled structures. Chem Rev 2016; 116:11181-219. [PMID: 26900754 DOI: 10.1021/acs.chemrev.5b00678] [Citation(s) in RCA: 24] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Colloidal semiconductor nanocrystals become increasingly important in materials science and technology, due to their optoelectronic properties that are tunable by size. The measurement and understanding of their energy levels is key to scientific and technological progress. Here we review how the confined electronic orbitals and related energy levels of individual semiconductor quantum dots have been measured by means of scanning tunneling microscopy and spectroscopy. These techniques were originally developed for flat conducting surfaces, but they have been adapted to investigate the atomic and electronic structure of semiconductor quantum dots. We compare the results obtained on colloidal quantum dots with those on comparable solid-state ones. We also compare the results obtained with scanning tunneling spectroscopy with those of optical spectroscopy. The first three sections provide an introduction to colloidal quantum dots, and a theoretical basis to be able to understand tunneling spectroscopy on dots attached to a conducting surface. In sections 4 and 5 , we review the work performed on lead-chalcogenide nanocrystals and on colloidal quantum dots and rods of II-VI compounds, respectively. In section 6 , we deal with colloidal III-V nanocrystals and compare the results with their self-assembled counter parts. In section 7 , we review the work on other types of semiconductor quantum dots, especially on Si and Ge nanocrystals.
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Affiliation(s)
- Ingmar Swart
- Debye Institute for Nanomaterials Science, Chemistry Department, University of Utrecht , Princetonplein 5, 3584 CC Utrecht, The Netherlands
| | - Peter Liljeroth
- Department of Applied Physics, Aalto University School of Science , PO Box 15100, 00076 Aalto, Finland
| | - Daniel Vanmaekelbergh
- Debye Institute for Nanomaterials Science, Chemistry Department, University of Utrecht , Princetonplein 5, 3584 CC Utrecht, The Netherlands
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Wu CF, Wei TR, Li JF. Electrical and thermal transport properties of Pb1−xSnxSe solid solution thermoelectric materials. Phys Chem Chem Phys 2015; 17:13006-12. [DOI: 10.1039/c4cp06021k] [Citation(s) in RCA: 36] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Semiconducting characteristics of Pb1−xSnxSe solid solutions were investigated to reveal the Sn substitution effects on thermoelectric performance.
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Affiliation(s)
- Chao-Feng Wu
- State Key Laboratory of New Ceramics and Fine Processing
- School of Materials Science and Engineering
- Tsinghua University
- Beijing
- China
| | - Tian-Ran Wei
- State Key Laboratory of New Ceramics and Fine Processing
- School of Materials Science and Engineering
- Tsinghua University
- Beijing
- China
| | - Jing-Feng Li
- State Key Laboratory of New Ceramics and Fine Processing
- School of Materials Science and Engineering
- Tsinghua University
- Beijing
- China
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Bian K, Richards BT, Yang H, Bassett W, Wise FW, Wang Z, Hanrath T. Optical properties of PbS nanocrystal quantum dots at ambient and elevated pressure. Phys Chem Chem Phys 2014; 16:8515-20. [DOI: 10.1039/c4cp00395k] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We investigated pressure-dependent changes in the optical properties of PbS nanocrystal quantum dots (NQD) by combining X-ray scattering and optical absorption spectroscopy in a diamond anvil cell.
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Affiliation(s)
- Kaifu Bian
- School of Chemical and Biomolecular Engineering
- Cornell University
- Ithaca, USA
| | | | - Hanqing Yang
- School of Chemical and Biomolecular Engineering
- Cornell University
- Ithaca, USA
| | - William Bassett
- Department of Earth and Atmospheric Sciences
- Cornell University
- Ithaca, USA
| | - Frank W. Wise
- School of Applied and Engineering Physics
- Cornell University
- Ithaca, USA
| | - Zhongwu Wang
- Cornell High Energy Synchrotron Source (CHESS)
- Cornell University
- Ithaca, USA
| | - Tobias Hanrath
- School of Chemical and Biomolecular Engineering
- Cornell University
- Ithaca, USA
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Parker D, Chen X, Singh DJ. High three-dimensional thermoelectric performance from low-dimensional bands. PHYSICAL REVIEW LETTERS 2013; 110:146601. [PMID: 25167018 DOI: 10.1103/physrevlett.110.146601] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/12/2012] [Indexed: 06/03/2023]
Abstract
Reduced dimensionality has long been regarded as an important strategy for increasing thermoelectric performance, for example, in superlattices and other engineered structures. Here we point out and illustrate by examples that three-dimensional bulk materials can be made to behave as if they were two dimensional from the point of view of thermoelectric performance. Implications for the discovery of new practical thermoelectrics are discussed.
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Affiliation(s)
- David Parker
- Materials Science and Technology Division, Oak Ridge National Laboratory, 1 Bethel Valley Road, Oak Ridge, Tennessee 37831-6056, USA
| | - Xin Chen
- Materials Science and Technology Division, Oak Ridge National Laboratory, 1 Bethel Valley Road, Oak Ridge, Tennessee 37831-6056, USA
| | - David J Singh
- Materials Science and Technology Division, Oak Ridge National Laboratory, 1 Bethel Valley Road, Oak Ridge, Tennessee 37831-6056, USA
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Pei Y, LaLonde AD, Heinz NA, Shi X, Iwanaga S, Wang H, Chen L, Snyder GJ. Stabilizing the optimal carrier concentration for high thermoelectric efficiency. ADVANCED MATERIALS (DEERFIELD BEACH, FLA.) 2011; 23:5674-5678. [PMID: 22052689 DOI: 10.1002/adma.201103153] [Citation(s) in RCA: 60] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/16/2011] [Revised: 09/13/2011] [Indexed: 05/31/2023]
Abstract
The band structure of PbTe can be manipulated by alloying with MgTe to control the band degeneracy. This is used to stabilize the optimal carrier concentration, making it less temperature dependent, demonstrating a new strategy to improve overall thermoelectric efficiency over a broad temperature range.
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Affiliation(s)
- Yanzhong Pei
- Department of Materials Science, California Institute of Technology, Pasadena, CA 91125, USA
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10
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Lin YM, Dresselhaus MS. Transport Properties of Superlattice Nanowires and Their Potential for Thermoelectric Applications. ACTA ACUST UNITED AC 2011. [DOI: 10.1557/proc-737-e17.5] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/13/2022]
Abstract
ABSTRACTA theoretical model for the electronic structure and transport properties of superlattice (SL) nanowires is presented, based on the electronic tunneling between quantum dots. Due to the periodic potential perturbation, SL nanowires exhibit unusual features in the electronic density of states that are absent in homogeneous nanowires. Transport property calculations of PbSe/PbS SL nanowires are presented, showing improved thermoelectric performance compared to homogeneous nanowires because of a lower lattice thermal conductivity and an enhanced Seebeck coefficient, indicating that SL nanowires are promising systems for thermoelectric applications.
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11
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Johnson JC, Gerth KA, Song Q, Murphy JE, Nozik AJ, Scholes GD. Ultrafast exciton fine structure relaxation dynamics in lead chalcogenide nanocrystals. NANO LETTERS 2008; 8:1374-1381. [PMID: 18376866 DOI: 10.1021/nl080126a] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/26/2023]
Abstract
The rates of fine structure relaxation in PbS, PbSe, and PbTe nanocrystals were measured on a femtosecond time scale as a function of temperature with no applied magnetic field by cross-polarized transient grating spectroscopy (CPTG) and circularly polarized pump-probe spectroscopy. The relaxation rates among exciton fine structure states follow trends with nanocrystal composition and size that are consistent with the expected influence of material dependent spin-orbit coupling, confinement enhanced electron-hole exchange interaction, and splitting between L valleys that are degenerate in the bulk. The size dependence of the fine structure relaxation rate is considerably different from what is observed for small CdSe nanocrystals, which appears to result from the unique material properties of the highly confined lead chalcogenide quantum dots. Modeling and qualitative considerations lead to conclusions about the fine structure of the lowest exciton absorption band, which has a potentially significant bearing on photophysical processes that make these materials attractive for practical purposes.
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Affiliation(s)
- Justin C Johnson
- National Renewable Energy Laboratory, 1617 Cole Boulevard, Golden, Colorado 80401, USA.
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12
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Crocker AJ, Rogers LM. Interpretation of the Hall coefficient, electrical resistivity and Seebeck coefficient of p-type lead telluride. ACTA ACUST UNITED AC 2002. [DOI: 10.1088/0508-3443/18/5/302] [Citation(s) in RCA: 72] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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13
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Abbati I, Braicovich L, Michelis BD. Photoelectric spectra of SnTe: structural similarity with PbTe and PbSe spectra. ACTA ACUST UNITED AC 2001. [DOI: 10.1088/0022-3719/7/19/025] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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14
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Kemeny PC, Cardona M. Photoemission study of the density of valence states and d-core levels in SnTe. ACTA ACUST UNITED AC 2001. [DOI: 10.1088/0022-3719/9/7/029] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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15
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Littlewood PB. The infrared effective charge in IV-VI compounds. II. A three dimensional calculation. ACTA ACUST UNITED AC 2001. [DOI: 10.1088/0022-3719/12/21/012] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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16
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Tripathi GS, Misra CM, Misra PK. Relativistic effects on the chemical shift in solids: important points of a new contribution. ACTA ACUST UNITED AC 2000. [DOI: 10.1088/0022-3719/18/28/007] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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17
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Misra S, Tripathi GS, Misra PK. Theory of the Knight shift in narrow-gap semiconductor. ACTA ACUST UNITED AC 2000. [DOI: 10.1088/0022-3719/20/2/010] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Juaristi JI, Echenique PM. Energy loss of MeV protons specularly reflected from metal surfaces. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:13839-13850. [PMID: 9983139 DOI: 10.1103/physrevb.53.13839] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Trafas BM, Vitomirov IM, Aldao CM, Gao Y, Xu F, Weaver JH, Partin DL. Cr, Co, Pd, Au, and In overlayers on PbS(100): Adatom interactions and interface formation. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 39:3265-3273. [PMID: 9948628 DOI: 10.1103/physrevb.39.3265] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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X-Ray Spectroscopic Studies of the Band Structure of Solids. ACTA ACUST UNITED AC 1989. [DOI: 10.1007/978-3-642-82262-9_6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register]
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Polatoglou HM, Theodorou G, Economou NA. Electronic properties of cubic crystals with an average of five valence electrons per atom. PHYSICAL REVIEW. B, CONDENSED MATTER 1986; 33:1265-1274. [PMID: 9938395 DOI: 10.1103/physrevb.33.1265] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Ravindra NM, Auluck S, Srivastava VK. Temperature dependence of the energy Gap in PbS, PbSe, and PbTe. ACTA ACUST UNITED AC 1979. [DOI: 10.1002/pssa.2210520255] [Citation(s) in RCA: 32] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Slater JC. Statistical Exchange-Correlation in the Self-Consistent Field. ADVANCES IN QUANTUM CHEMISTRY 1972. [DOI: 10.1016/s0065-3276(08)60541-9] [Citation(s) in RCA: 922] [Impact Index Per Article: 17.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/15/2022]
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Demeyer A, Chevarier N, Chevarier A, Tran Minh Duc. Reculs moyens, rapports isomériques et fonctions d'excitation pour les réactions induites par des particules alpha sur le rubidium. ACTA ACUST UNITED AC 1971. [DOI: 10.1051/jphys:01971003208-9058300] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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Demeyer A, Chery R, Chevarier N, Chevarier A, Tousset J, Tran Minh Duc. Contribution à l'étude des réactions à hautes énergies sur l'holmium et le thulium. ACTA ACUST UNITED AC 1970. [DOI: 10.1051/jphys:019700031010084700] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022]
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Electron structure of PbS-type semiconductors in a semiempirical strong-coupling method. J STRUCT CHEM+ 1970. [DOI: 10.1007/bf00743970] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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Burke JR, Riedl HR. Temperature Dependence of the Optical Absorption Edge ofp-Type SnTe. ACTA ACUST UNITED AC 1969. [DOI: 10.1103/physrev.184.830] [Citation(s) in RCA: 40] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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32
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Jha SS. Light Scattering from Single-Particle Excitations of Carriers in Lead Salts: Charge-Density and Spin-Density Fluctuations. ACTA ACUST UNITED AC 1969. [DOI: 10.1103/physrev.182.815] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Tung YW, Cohen ML. Relativistic Band Structure and Electronic Properties of SnTe, GeTe, and PbTe. ACTA ACUST UNITED AC 1969. [DOI: 10.1103/physrev.180.823] [Citation(s) in RCA: 224] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Tsu R, Howard WE, Esaki L. Optical and Electrical Properties and Band Structure of GeTe and SnTe. ACTA ACUST UNITED AC 1968. [DOI: 10.1103/physrev.172.779] [Citation(s) in RCA: 158] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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39
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Rabii S. Investigation of Energy-Band Structures and Electronic Properties of PbS and PbSe. ACTA ACUST UNITED AC 1968. [DOI: 10.1103/physrev.167.801] [Citation(s) in RCA: 91] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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