Semiclassical Approach to Chaotic Quantum Transport
Mesoscale and Nanoscale Physics
2007-05-23 v1 Chaotic Dynamics
Abstract
We describe a semiclassical method to calculate universal transport properties of chaotic cavities. While the energy-averaged conductance turns out governed by pairs of entrance-to-exit trajectories, the conductance variance, shot noise and other related quantities require trajectory quadruplets; simple diagrammatic rules allow to find the contributions of these pairs and quadruplets. Both pure symmetry classes and the crossover due to an external magnetic field are considered.
Keywords
Cite
@article{arxiv.cond-mat/0610560,
title = {Semiclassical Approach to Chaotic Quantum Transport},
author = {Sebastian Müller and Stefan Heusler and Petr Braun and Fritz Haake},
journal= {arXiv preprint arXiv:cond-mat/0610560},
year = {2007}
}
Comments
33 pages, 11 figures (appendices B-D not included in journal version)