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Rebora G, Ferraro D, Rodriguez RH, Parmentier FD, Roche P, Sassetti M. Electronic Wave-Packets in Integer Quantum Hall Edge Channels: Relaxation and Dissipative Effects. ENTROPY 2021; 23:e23020138. [PMID: 33499283 PMCID: PMC7911584 DOI: 10.3390/e23020138] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 12/28/2020] [Revised: 01/20/2021] [Accepted: 01/21/2021] [Indexed: 11/16/2022]
Abstract
We theoretically investigate the evolution of the peak height of energy-resolved electronic wave-packets ballistically propagating along integer quantum Hall edge channels at filling factor equal to two. This is ultimately related to the elastic scattering amplitude for the fermionic excitations evaluated at different injection energies. We investigate this quantity assuming a short-range capacitive coupling between the edges. Moreover, we also phenomenologically take into account the possibility of energy dissipation towards additional degrees of freedom—both linear and quadratic—in the injection energy. Through a comparison with recent experimental data, we rule out the non-dissipative case as well as a quadratic dependence of the dissipation, indicating a linear energy loss rate as the best candidate for describing the behavior of the quasi-particle peak at short enough propagation lengths.
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Affiliation(s)
- Giacomo Rebora
- Dipartimento di Fisica, Università di Genova, Via Dodecaneso 33, 16146 Genova, Italy; (G.R.); (M.S.)
- SPIN-CNR, Via Dodecaneso 33, 16146 Genova, Italy
| | - Dario Ferraro
- Dipartimento di Fisica, Università di Genova, Via Dodecaneso 33, 16146 Genova, Italy; (G.R.); (M.S.)
- SPIN-CNR, Via Dodecaneso 33, 16146 Genova, Italy
- Correspondence:
| | - Ramiro H. Rodriguez
- Université Paris-Saclay, CEA, CNRS, SPEC, 91191 Gif-sur-Yvette, France; (R.H.R.); (F.D.P.); (P.R.)
| | - François D. Parmentier
- Université Paris-Saclay, CEA, CNRS, SPEC, 91191 Gif-sur-Yvette, France; (R.H.R.); (F.D.P.); (P.R.)
| | - Patrice Roche
- Université Paris-Saclay, CEA, CNRS, SPEC, 91191 Gif-sur-Yvette, France; (R.H.R.); (F.D.P.); (P.R.)
| | - Maura Sassetti
- Dipartimento di Fisica, Università di Genova, Via Dodecaneso 33, 16146 Genova, Italy; (G.R.); (M.S.)
- SPIN-CNR, Via Dodecaneso 33, 16146 Genova, Italy
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Ota T, Hashisaka M, Muraki K, Fujisawa T. Electronic energy spectroscopy of monochromatic edge magnetoplasmons in the quantum Hall regime. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2018; 30:345301. [PMID: 29985158 DOI: 10.1088/1361-648x/aad220] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
We investigate electronic excitation in a quantum Hall edge channel when a monochromatic plasmon wave is excited by applying a radio-frequency voltage to a long surface gate on an AlGaAs/GaAs heterostructure. A quantum-dot energy spectrometer is employed to evaluate the amplitude of the potential wave and possible electronic heating. The potential wave is analyzed with a capacitance model. Non-monotonic frequency dependence observed under specific conditions can be explained by destructive plasmon interference in the gated region. The observed small heating effect suggests that the single plasmon mode is dominantly excited with this scheme.
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Affiliation(s)
- Tomoaki Ota
- Department of Physics, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro, Tokyo, 152-8551, Japan
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Yin Y. On-demand electron source with tunable energy distribution. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2018; 30:285301. [PMID: 29808830 DOI: 10.1088/1361-648x/aac843] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
We propose a scheme to manipulate the electron-hole excitation in the voltage pulse electron source, which can be realized by a voltage-driven Ohmic contact connecting to a quantum hall edge channel. It has been known that the electron-hole excitation can be suppressed via Lorentzian pulses, leading to noiseless electron current. We show that, instead of the Lorentzian pulses, driven via the voltage pulse [Formula: see text] with duration t 0, the electron-hole excitation can be tuned so that the corresponding energy distribution of the emitted electrons follows the Fermi distribution with temperature [Formula: see text], with T S being the electron temperature in the Ohmic contact. Such Fermi distribution can be established without introducing additional energy relaxation mechanism and can be detected via shot noise thermometry technique, making it helpful in the study of thermal transport and decoherence in mesoscopic system.
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Affiliation(s)
- Y Yin
- Laboratory of Mesoscopic and Low Dimensional Physics, Department of Physics, Sichuan University, Chengdu, Sichuan 610064, People's Republic of China
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Itoh K, Nakazawa R, Ota T, Hashisaka M, Muraki K, Fujisawa T. Signatures of a Nonthermal Metastable State in Copropagating Quantum Hall Edge Channels. PHYSICAL REVIEW LETTERS 2018; 120:197701. [PMID: 29799244 DOI: 10.1103/physrevlett.120.197701] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/22/2017] [Indexed: 06/08/2023]
Abstract
A Tomonaga-Luttinger (TL) liquid is known as an integrable system, in which a nonequilibrium many-body state survives without relaxing to a thermalized state. This intriguing characteristic is tested experimentally in copropagating quantum Hall edge channels at bulk filling factor ν=2. The unidirectional transport allows us to investigate the time evolution by measuring the spatial evolution of the electronic states. The initial state is prepared with a biased quantum point contact, and its spatial evolution is measured with a quantum-dot energy spectrometer. We find strong evidence for a nonthermal metastable state in agreement with the TL theory before the system relaxes to thermal equilibrium with coupling to the environment.
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Affiliation(s)
- Kosuke Itoh
- Department of Physics, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro, Tokyo 152-8551, Japan
| | - Ryo Nakazawa
- Department of Physics, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro, Tokyo 152-8551, Japan
| | - Tomoaki Ota
- Department of Physics, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro, Tokyo 152-8551, Japan
| | - Masayuki Hashisaka
- Department of Physics, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro, Tokyo 152-8551, Japan
- NTT Basic Research Laboratories, NTT Corporation, 3-1 Morinosato-Wakamiya, Atsugi 243-0198, Japan
| | - Koji Muraki
- NTT Basic Research Laboratories, NTT Corporation, 3-1 Morinosato-Wakamiya, Atsugi 243-0198, Japan
| | - Toshimasa Fujisawa
- Department of Physics, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro, Tokyo 152-8551, Japan
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Kulik LV, Gorbunov AV, Zhuravlev AS, Timofeev VB, Dickmann S, Kukushkin IV. Super-long life time for 2D cyclotron spin-flip excitons. Sci Rep 2015; 5:10354. [PMID: 25989313 PMCID: PMC4437318 DOI: 10.1038/srep10354] [Citation(s) in RCA: 30] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/30/2014] [Accepted: 04/08/2015] [Indexed: 12/04/2022] Open
Abstract
An experimental technique for the indirect manipulation and detection of electron spins entangled in two-dimensional magnetoexcitons has been developed. The kinetics of the spin relaxation has been investigated. Photoexcited spin-magnetoexcitons were found to exhibit extremely slow relaxation in specific quantum Hall systems, fabricated in high mobility GaAs/AlGaAs structures; namely, the relaxation time reaches values over one hundred microseconds. A qualitative explanation of this spin-relaxation kinetics is presented. Its temperature and magnetic field dependencies are discussed within the available theoretical framework.
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Affiliation(s)
- L V Kulik
- Institute of Solid State Physics, Russian Academy of Sciences, Chernogolovka, 142432 Russia
| | - A V Gorbunov
- Institute of Solid State Physics, Russian Academy of Sciences, Chernogolovka, 142432 Russia
| | - A S Zhuravlev
- Institute of Solid State Physics, Russian Academy of Sciences, Chernogolovka, 142432 Russia
| | - V B Timofeev
- Institute of Solid State Physics, Russian Academy of Sciences, Chernogolovka, 142432 Russia
| | - S Dickmann
- Institute of Solid State Physics, Russian Academy of Sciences, Chernogolovka, 142432 Russia
| | - I V Kukushkin
- Institute of Solid State Physics, Russian Academy of Sciences, Chernogolovka, 142432 Russia
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Milletarì M, Rosenow B. Shot-noise signatures of charge fractionalization in the ν=2 quantum Hall edge. PHYSICAL REVIEW LETTERS 2013; 111:136807. [PMID: 24116806 DOI: 10.1103/physrevlett.111.136807] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/01/2012] [Revised: 07/30/2013] [Indexed: 06/02/2023]
Abstract
We investigate the effect of interactions on shot noise in ν=2 quantum Hall edges, where a repulsive coupling between copropagating edge modes is expected to give rise to charge fractionalization. Using the method of nonequilibrium bosonization, we find that even asymptotically the edge distribution function depends in a sensitive way on the interaction strength between the edge modes. We compute shot noise and the Fano factor from the asymptotic distribution function, and from comparison with a reference model of fractionalized excitations, we find that the Fano factor can be close to the value of the fractionalized charge.
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Affiliation(s)
- Mirco Milletarì
- Institut für Theoretische Physik, Universität Leipzig, Brüderstrasse 14, D-04103 Leipzig, Germany and Max-Planck-Institute for Solid State Research, Heisenbergstrasse 1, D-70569 Stuttgart, Germany
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Protopopov IV, Gutman DB, Mirlin AD. Correlations in nonequilibrium Luttinger liquid and singular Fredholm determinants. PHYSICAL REVIEW LETTERS 2013; 110:216404. [PMID: 23745901 DOI: 10.1103/physrevlett.110.216404] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/04/2012] [Indexed: 06/02/2023]
Abstract
We study interaction-induced correlations in Luttinger liquid with multiple Fermi edges. Many-particle correlation functions are expressed in terms of Fredholm determinants det(1+ÂB[over ^]), where A(ε) and B(t) have multiple discontinuities in energy and time spaces. We propose a general asymptotic formula for this class of determinants and provide analytical and numerical support to this conjecture. This allows us to establish nonequilibrium Fermi-edge singularities of many-particle correlation functions. As an example, we calculate a two-particle distribution function characterizing genuinely nonequilibrium quantum correlations between left- and right-moving fermions that have left the interaction region.
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Affiliation(s)
- I V Protopopov
- Institut für Nanotechnologie, Karlsruhe Institute of Technology, 76021 Karlsruhe, Germany
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Dickmann S. Extremely slow spin relaxation in a spin-unpolarized quantum Hall system. PHYSICAL REVIEW LETTERS 2013; 110:166801. [PMID: 23679629 DOI: 10.1103/physrevlett.110.166801] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/10/2012] [Indexed: 06/02/2023]
Abstract
Cyclotron spin-flip excitation in a ν=2 quantum Hall system, being separated from the ground state by a slightly smaller gap than the cyclotron energy and from upper magnetoplasma excitation by the Coulomb gap [S. Dickmann and I. V. Kukushkin, Phys. Rev. B 71, 241310(R) (2005); L. V. Kulik, I. V. Kukushkin, S. Dickmann, V. E. Kirpichev, A. B. Van'kov, A. L. Parakhonsky, J. H. Smet, K. von Klitzing, and W. Wegscheider, Phys. Rev. B 72, 073304 (2005)] cannot relax in a purely electronic way except only with the emission of a shortwave acoustic phonon (k~3×10(7)/cm). As a result, relaxation in a modern wide-thickness quantum well occurs very slowly. We calculate the characteristic relaxation time to be ~1 s. Extremely slow relaxation should allow the production of a considerable density of zero-momenta cyclotron spin-flip excitations in a very small phase volume, thus forming a highly coherent ensemble-the Bose-Einstein condensate. The condensate state can be controlled by short optical pulses (~1 μs), switching it on and off.
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Affiliation(s)
- S Dickmann
- Institute of Solid State Physics, RAS, Chernogolovka 142432, Moscow District, Russia
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