Ehrenfest time dependence of quantum transport corrections and spectral statistics
arXiv:1006.0142 · doi:10.1103/PhysRevE.82.066205
Abstract
The Ehrenfest time scale in quantum transport separates essentially classical propagation from wave interference and here we consider its effect on the transmission and reflection through quantum dots. In particular we calculate the Ehrenfest time dependence of the next-to-leading-order quantum corrections to the transmission and reflection for dc and ac transport and check that our results are consistent with current conservation relations. Looking as well at closed systems, we finally demonstrate how the contributions analyzed here imply changes in the calculation given in [P. W. Brouwer, S. Rahav and C. Tian, Phys. Rev. E, 74, 066208 (2006)] of the next to leading order of the spectral form factor. Our semiclassical result coincides with the result obtained in [C. Tian and A. I. Larkin, Phys. Rev. B, 70, 035305 (2004)] by field-theoretical methods.
11 pages, 9 figures
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Cited by in corpus (11)
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- Particle-Time Duality in the Kicked Ising Chain I: The Dual Operator
- Semiclassical roots of universality in many-body quantum chaos
- Universality in chaotic quantum transport: The concordance between random matrix and semiclassical theories
- Combinatorial theory of the semiclassical evaluation of transport moments I: Equivalence with the random matrix approach
- Ehrenfest-time dependence of counting statistics for chaotic ballistic systems
- Conductance fluctuations in chaotic systems with tunnel barriers
- Transport moments and Andreev billiards with tunnel barriers
- Combinatorial theory of the semiclassical evaluation of transport moments II: Algorithmic approach for moment generating functions
- Self-averaging characteristics of spectral fluctuations
- Semiclassical theory of persistent current fluctuations in ballistic chaotic rings