Quantum-to-classical crossover of mesoscopic conductance fluctuations

Details Quantum-to-classical crossover of mesoscopic conductance fluctuations Quantum-to-classical crossover of mesoscopic conductance fluctuations

2003-11-12

arxiv.org/abs/cond-mat/0311283v2

Phys. Rev. B 69, 165318 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 5 figures: one figure added, references updated

Scientific paper

10.1103/PhysRevB.69.165318

We calculate the system-size-over-wave-length ($M$) dependence of sample-to-sample conductance fluctuations, using the open kicked rotator to model chaotic scattering in a ballistic quantum dot coupled by two $N$-mode point contacts to electron reservoirs. Both a fully quantum mechanical and a semiclassical calculation are presented, and found to be in good agreement. The mean squared conductance fluctuations reach the universal quantum limit of random-matrix-theory for small systems. For large systems they increase $\propto M^2$ at fixed mean dwell time $\tau_D \propto M/N$. The universal quantum fluctuations dominate over the nonuniversal classical fluctuations if $N < \sqrt{M}$. When expressed as a ratio of time scales, the quantum-to-classical crossover is governed by the ratio of Ehrenfest time and ergodic time.

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