Semiclassical Approach to Chaotic Quantum Transport

Details Semiclassical Approach to Chaotic Quantum Transport Semiclassical Approach to Chaotic Quantum Transport

2006-10-20

arxiv.org/abs/cond-mat/0610560v1

New J. Phys. 9 (2007) 12

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

33 pages, 11 figures (appendices B-D not included in journal version)

Scientific paper

10.1088/1367-2630/9/1/012

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.

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