Effect of symmetry class transitions on the shot noise in chaotic quantum dots

2006/10/24 by Benjámin Béri, B. Béri, J. Cserti +1
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Quantum optics and atomic interactions #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.75.041308

published as Phys. Rev. B 75, 041308(R) (2007) · 4 pages, 1 figure

arxiv created 2006/10/24 · openalex publication_date 2007/01/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

Using the random matrix theory (RMT) approach, we calculated the weak localization correction to the shot noise power in a chaotic cavity as a function of magnetic field and spin-orbit coupling. We found a remarkably simple relation between the weak localization correction to the conductance and to the shot noise power, that depends only on the channel number asymmetry of the cavity. In the special case of an orthogonal-unitary crossover, our result coincides with the prediction of Braun et al. [J. Phys. A 39, L159 (2006)], illustrating the equivalence of the semiclassical method to RMT.

Citations

• Shot Noise in the Chaotic-to-Regular Crossover Regime
• Distribution of the quantum mechanical time-delay matrix for a chaotic cavity
• Weak localization and conductance fluctuations in a quantum dot with parallel magnetic field and spin-orbit scattering
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• Shot noise in chaotic cavities with an arbitrary number of open channels
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• Semiclassical prediction for shot noise in chaotic cavities
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• Shot Noise in Semiclassical Chaotic Cavities
• Random-matrix theory of quantum transport