Transport in chaotic quantum dots: effects of spatial symmetries which interchange the leads

Abstract

We investigate the effect of spatial symmetries on phase coherent electronic transport through chaotic quantum dots. For systems which have a spatial symmetry that interchanges the source and drain leads, we find in the framework of random matrix theory that the density of the transmission eigenvalues is indepedent of the number of channels N in the leads. As a consequence, the weak localization correction to the conductance vanishes in these systems, and the shot noise suppression factor F is independent of N. We confirm this prediction by means of numerical calculations for stadium billiards with various lead geometries. These calculations also uncover transport signatures of partially preserved symmetries.

Changes in the presentation style according to PRB, references updated, and some minor corrections. 5 pages, 2 figures

References in corpus (6)

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• Dynamical model for the quantum-to-classical crossover of shot noise
• Ballistic quantum transport at high energies and high magnetic fields
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Cited by in corpus (10)

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• Systematic approach to statistics of conductance and shot-noise in chaotic cavities
• Symmetry causes a huge conductance peak in double quantum dots
• Semiclassical transport in nearly symmetric quantum dots I: symmetry-breaking in the dot
• Semiclassical transport in nearly symmetric quantum dots II: symmetry-breaking due to asymmetric leads
• Statistics of Transmission Eigenvalues in Two-Dimensional Quantum Cavities: Ballistic versus Stochastic Scattering
• Transport through open quantum dots: making semiclassics quantitative
• Staggered repulsion of transmission eigenvalues in symmetric open mesoscopic systems
• Shot noise fluctuations in disordered graphene nanoribbons near the Dirac point
• Effects of Andreev reflection on the conductance of quantum-chaotic dots