Interaction Correction to the Conductance of a Ballistic Conductor

2007/12/07 by Piet W. Brouwer, Joern N. Kupferschmidt · 1 citation
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Theoretical and Computational Physics #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.100.246805

4 pages, 2 figures

arxiv created 2007/12/07 · openalex publication_date 2008/06/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In disordered metals, electron-electron interactions are the origin of a small correction to the conductivity, the ``Altshuler-Aronov correction.'' Here we investigate the Altshuler-Aronov correction \ensuremathδG_AA of a conductor in which the electron motion is ballistic and chaotic. We consider the case of a double quantum dot, which is the simplest example of a ballistic conductor in which \ensuremathδG_AA is nonzero. The fact that the electron motion is ballistic leads to an exponential suppression of \ensuremathδG_AA if the Ehrenfest time is larger than the mean dwell time \ensuremathτ_D or the inverse temperature \ensuremathℏ/T.

Citations

• Semiclassical prediction for shot noise in chaotic cavities
• Ehrenfest-Time Dependence of Weak Localization in Open Quantum Dots
• Shot Noise in Semiclassical Chaotic Cavities
• Transport Properties of Granular Metals at Low Temperatures

Cited by

• Temperature and magnetic-field dependence of the quantum corrections to the conductance of a network of quantum dots