Semiclassical prediction for shot noise in chaotic cavities

2005/11/11 by Petr Braun, Stefan Heusler, Sebastian Müller +1 · 5 citations
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Quantum many-body systems #cond-mat.mes-hall #nlin.CD

paper · pdf · doi:10.1088/0305-4470/39/11/l01

published as J. Phys. A: Math. Gen. 39, L159-L165 (2006) · 4 pages, 2 figures

arxiv created 2005/11/11 · openalex publication_date 2006/03/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04

Abstract

We show that in clean chaotic cavities the power of shot noise takes a universal form. Our predictions go beyond previous results from random-matrix theory, in covering the experimentally relevant case of few channels. Following a semiclassical approach we evaluate the contributions of quadruplets of classical trajectories to shot noise. Our approach can be extended to a variety of transport phenomena as illustrated for the crossover between symmetry classes in the presence of a weak magnetic field.

Citations

• Shot Noise in Chaotic Cavities from Action Correlations
• Semiclassical Foundation of Universality in Quantum Chaos
• Correlations between Periodic Orbits and their R?le in Spectral Statistics
• Leading off-diagonal approximation for the spectral form factor for uniformly hyperbolic systems

Cited by

• Dephasing in quantum chaotic transport: A semiclassical approach
• Effect of symmetry class transitions on the shot noise in chaotic quantum dots
• Full counting statistics of chaotic cavities with many open channels
• Interaction Correction to the Conductance of a Ballistic Conductor
• Integrable Theory of Quantum Transport in Chaotic Cavities