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Title: Equilibration of Luttinger liquid and conductance of quantum wires.

Abstract

Luttinger liquid theory describes one-dimensional electron systems in terms of noninteracting bosonic excitations. In this approximation thermal excitations are decoupled from the current flowing through a quantum wire, and the conductance is quantized. We show that relaxation processes not captured by the Luttinger liquid theory lead to equilibration of the excitations with the current and give rise to a temperature-dependent correction to the conductance. In long wires, the magnitude of the correction is expressed in terms of the velocities of bosonic excitations. In shorter wires it is controlled by the relaxation rate.

Authors:
;  [1];  [2]
  1. (Materials Science Division)
  2. (
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1024598
Report Number(s):
ANL/MSD/JA-68786
Journal ID: 0031-899X; TRN: US201119%%491
DOE Contract Number:  
DE-AC02-06CH11357
Resource Type:
Journal Article
Journal Name:
Phys. Rev. Lett.
Additional Journal Information:
Journal Volume: 107; Journal Issue: 5 ; 2011
Country of Publication:
United States
Language:
ENGLISH
Subject:
77 NANOSCIENCE AND NANOTECHNOLOGY; APPROXIMATIONS; ELECTRONS; QUANTUM WIRES; RELAXATION

Citation Formats

Matveev, K. A., Andreev, A. V., and Univ. of Washington). Equilibration of Luttinger liquid and conductance of quantum wires.. United States: N. p., 2011. Web. doi:10.1103/PhysRevLett.107.056402.
Matveev, K. A., Andreev, A. V., & Univ. of Washington). Equilibration of Luttinger liquid and conductance of quantum wires.. United States. doi:10.1103/PhysRevLett.107.056402.
Matveev, K. A., Andreev, A. V., and Univ. of Washington). Sat . "Equilibration of Luttinger liquid and conductance of quantum wires.". United States. doi:10.1103/PhysRevLett.107.056402.
@article{osti_1024598,
title = {Equilibration of Luttinger liquid and conductance of quantum wires.},
author = {Matveev, K. A. and Andreev, A. V. and Univ. of Washington)},
abstractNote = {Luttinger liquid theory describes one-dimensional electron systems in terms of noninteracting bosonic excitations. In this approximation thermal excitations are decoupled from the current flowing through a quantum wire, and the conductance is quantized. We show that relaxation processes not captured by the Luttinger liquid theory lead to equilibration of the excitations with the current and give rise to a temperature-dependent correction to the conductance. In long wires, the magnitude of the correction is expressed in terms of the velocities of bosonic excitations. In shorter wires it is controlled by the relaxation rate.},
doi = {10.1103/PhysRevLett.107.056402},
journal = {Phys. Rev. Lett.},
number = 5 ; 2011,
volume = 107,
place = {United States},
year = {2011},
month = {1}
}