Semiclassical theory of the interaction correction to the conductance of antidot arrays

Martin Schneider, Georg Schwiete, and Piet W. Brouwer
Phys. Rev. B 87, 195406 – Published 6 May 2013

Abstract

Electron-electron interactions are responsible for a correction to the conductance of a diffusive metal, the “Altshuler-Aronov correction” δGAA. Here, we study the counterpart of this correction for a ballistic conductor, in which the electron motion is governed by chaotic classical dynamics. In the ballistic conductance, the Ehrenfest time τE enters as an additional time scale that determines the magnitude of quantum interference effects. The Ehrenfest time effectively poses a short-time threshold for the trajectories contributing to the interaction correction. As a consequence, δGAA becomes exponentially suppressed if the Ehrenfest time is larger than the dwell time or the inverse temperature. We discuss the explicit dependence on Ehrenfest time in quasi-one- and two-dimensional antidot arrays. For strong interactions, the sign of δGAA may change as a function of temperature for temperatures in the vicinity of /τE.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
3 More
  • Received 8 November 2012

DOI:https://doi.org/10.1103/PhysRevB.87.195406

©2013 American Physical Society

Authors & Affiliations

Martin Schneider, Georg Schwiete, and Piet W. Brouwer

  • Dahlem Center for Complex Quantum Systems and Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, 14195 Berlin, Germany

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 87, Iss. 19 — 15 May 2013

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×