Ehrenfest time dependent suppression of weak localization

TL;DR

This paper extends semiclassical theory to analyze how finite Ehrenfest time influences the suppression of weak localization in clean chaotic cavities without impurity scattering.

Contribution

It introduces a novel calculation of Ehrenfest time effects on weak localization suppression, avoiding impurity scattering assumptions.

Findings

Ehrenfest time significantly affects weak localization correction.

The theory applies to clean chaotic cavities, not relying on impurity scattering.

Results extend previous semiclassical approaches to include finite Ehrenfest time.

Abstract

The Ehrenfest time dependence of the suppression of the weak localization correction to the conductance of a {\em clean} chaotic cavity is calculated. Unlike in earlier work, no impurity scattering is invoked to imitate diffraction effects. The calculation extends the semiclassical theory of K. Richter and M. Sieber [Phys. Rev. Lett. {\bf 89}, 206801 (2002)] to include the effect of a finite Ehrenfest time.