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Nonlinear conductance of long quantum wires at a conductance plateau transition: Where does the voltage drop?

Authors
  • Micklitz, T.
  • Levchenko, A.
  • Rosch, A.
Type
Published Article
Publication Date
Aug 07, 2012
Submission Date
Feb 21, 2012
Identifiers
DOI: 10.1103/PhysRevLett.109.036405
Source
arXiv
License
Yellow
External links

Abstract

We calculate the linear and nonlinear conductance of spinless fermions in clean, long quantum wires where short-ranged interactions lead locally to equilibration. Close to the quantum phase transition where the conductance jumps from zero to one conductance quantum, the conductance obtains an universal form governed by the ratios of temperature, bias voltage and gate voltage. Asymptotic analytic results are compared to solutions of a Boltzmann equation which includes the effects of three-particle scattering. Surprisingly, we find that for long wires the voltage predominantly drops close to one end of the quantum wire due to a thermoelectric effect.

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