Universal parametric correlations in the classical limit of quantum transport
arXiv:0705.2337 · doi:10.1103/PhysRevB.75.201303
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
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- Semiclassical transport in nearly symmetric quantum dots II: symmetry-breaking due to asymmetric leads
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- Semiclassical theory of speckle correlations
- Semiclassical theory of persistent current fluctuations in ballistic chaotic rings
- Thermoelectric coefficients and the figure of merit for large open quantum dots