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Fluctuation relations without microreversibility in nonlinear transport.

H Förster1, M Büttiker

  • 1Département de Physique Théorique, Université de Genève, CH-1211 Genève 4, Switzerland.

Physical Review Letters
|October 15, 2008
PubMed
Summary
This summary is machine-generated.

We introduce new fluctuation relations for nonlinear transport, connecting equilibrium current correlations to lower-order response coefficients. This advances understanding beyond traditional microreversibility, even with magnetic fields.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Transport
  • Statistical Mechanics

Background:

  • The fluctuation-dissipation theorem links equilibrium current correlations to linear conductance.
  • Nonlinear transport typically relies on Onsager's principle of microscopic reversibility.
  • Magnetic fields can cause deviations from microreversibility, leading to asymmetric current-voltage relations.

Purpose of the Study:

  • To develop novel fluctuation relations for nonlinear transport in the presence of magnetic fields.
  • To establish a connection between equilibrium current correlation functions and lower-order response coefficients.
  • To extend fluctuation relations beyond the constraints of microscopic reversibility.

Main Methods:

  • Theoretical derivation of new fluctuation relations for nonlinear transport.
  • Analysis of current correlation functions and cumulant response coefficients.
  • Application and illustration using an electrical Mach-Zehnder interferometer model.

Main Results:

  • Novel fluctuation relations are presented for nonlinear transport under magnetic fields.
  • These relations connect higher-order equilibrium current correlations to lower-order response coefficients.
  • The findings are demonstrated with a specific quantum transport setup.

Conclusions:

  • The derived fluctuation relations offer a new framework for understanding nonlinear transport phenomena.
  • These relations are valid even when microscopic reversibility is broken by magnetic fields.
  • The results provide valuable theoretical tools for analyzing complex quantum transport systems.