Universal parametric correlations in the classical limit of quantum transport

Abstract

Quantum corrections to transport through a chaotic ballistic cavity are known to be universal. The universality not only applies to the magnitude of quantum corrections, but also to their dependence on external parameters, such as the Fermi energy or an applied magnetic field. Here we consider such parameter dependence of quantum transport in a ballistic chaotic cavity in the semiclassical limit obtained by sending Planck's constant to zero without changing the classical dynamics of the open cavity. In this limit quantum corrections are shown to have a universal parametric dependence which is not described by random matrix theory.

4 pages, 2 figures

References in corpus (5)

• Quantum-to-classical crossover of quasi-bound states in open quantum systems
• Semiclassical Theory of Chaotic Conductors
• Ehrenfest time dependent suppression of weak localization
• Ehrenfest-time dependence of weak localization in open quantum dots
• Quantum-to-classical crossover of mesoscopic conductance fluctuations