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Title: Interaction-induced backscattering in short quantum wires

Abstract

We study interaction-induced backscattering in clean quantum wires with adiabatic contacts exposed to a voltage bias. Particle backscattering relaxes such systems to a fully equilibrated steady state only on length scales exponentially large in the ratio of bandwidth of excitations and temperature. Here in this paper we focus on shorter wires in which full equilibration is not accomplished. Signatures of relaxation then are due to backscattering of hole excitations close to the band bottom which perform a diffusive motion in momentum space while scattering from excitations at the Fermi level. This is reminiscent to the first passage problem of a Brownian particle and, regardless of the interaction strength, can be described by an inhomogeneous Fokker-Planck equation. From general solutions of the latter we calculate the hole backscattering rate for different wire lengths and discuss the resulting length dependence of interaction-induced correction to the conductance of a clean single channel quantum wire.

Authors:
 [1];  [2];  [3];  [4]
+ Show Author Affiliations
  1. Freie Univ., Berlin (Germany). Dahlem Center for Complex Quantum Systems and Inst. fur Theoretische Physik
  2. Freie Univ., Berlin (Germany). Dahlem Center for Complex Quantum Systems and Inst. fur Theoretische Physik; Brazilian Center for Physics Research, Rio de Janeiro (Brazil)
  3. Michigan State Univ., East Lansing, MI (United States). Dept. of Physics and Astronomy; Karlsruhe Inst. of Technology (KIT) (Germany). Inst. fur Nanotechnologie
  4. Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
Publication Date:
Research Org.:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF); National Counsel of Technological and Scientific Development (CNPq)
OSTI Identifier:
1357037
Alternate Identifier(s):
OSTI ID: 1180502
Grant/Contract Number:  
AC02-06CH11357; DMR-1401908
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. B, Condensed Matter and Materials Physics
Additional Journal Information:
Journal Volume: 90; Journal Issue: 16; Journal ID: ISSN 1098-0121
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Rieder, M. -T., Micklitz, T., Levchenko, A., and Matveev, K. A. Interaction-induced backscattering in short quantum wires. United States: N. p., 2014. Web. doi:10.1103/PhysRevB.90.165405.
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Rieder, M. -T., Micklitz, T., Levchenko, A., & Matveev, K. A. Interaction-induced backscattering in short quantum wires. United States. https://doi.org/10.1103/PhysRevB.90.165405
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Rieder, M. -T., Micklitz, T., Levchenko, A., and Matveev, K. A. Mon . "Interaction-induced backscattering in short quantum wires". United States. https://doi.org/10.1103/PhysRevB.90.165405. https://www.osti.gov/servlets/purl/1357037.
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@article{osti_1357037,
title = {Interaction-induced backscattering in short quantum wires},
author = {Rieder, M. -T. and Micklitz, T. and Levchenko, A. and Matveev, K. A.},
abstractNote = {We study interaction-induced backscattering in clean quantum wires with adiabatic contacts exposed to a voltage bias. Particle backscattering relaxes such systems to a fully equilibrated steady state only on length scales exponentially large in the ratio of bandwidth of excitations and temperature. Here in this paper we focus on shorter wires in which full equilibration is not accomplished. Signatures of relaxation then are due to backscattering of hole excitations close to the band bottom which perform a diffusive motion in momentum space while scattering from excitations at the Fermi level. This is reminiscent to the first passage problem of a Brownian particle and, regardless of the interaction strength, can be described by an inhomogeneous Fokker-Planck equation. From general solutions of the latter we calculate the hole backscattering rate for different wire lengths and discuss the resulting length dependence of interaction-induced correction to the conductance of a clean single channel quantum wire.},
doi = {10.1103/PhysRevB.90.165405},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 16,
volume = 90,
place = {United States},
year = {Mon Oct 06 00:00:00 EDT 2014},
month = {Mon Oct 06 00:00:00 EDT 2014}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1103/PhysRevB.90.165405
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