Stroboscopic model of transport through a quantum dot with spin-orbit scattering

2005/08/23 by Jens H. Bardarson, J. H. Bardarson, J. Tworzydlo +2 · 2 citations
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.72.235305

published as Phys. Rev. B 72, 235305 (2005) · 6 pages, 3 figures

arxiv created 2005/08/23 · openalex publication_date 2005/12/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

We present an open version of the symplectic kicked rotator as a stroboscopic model of electrical conduction through an open ballistic quantum dot with spin-orbit scattering. We demonstrate numerically and analytically that the model reproduces the universal weak localization and weak antilocalization peak in the magnetoconductance, as predicted by random-matrix theory (RMT). We also study the transition from weak localization to weak antilocalization with increasing strength of the spin-orbit scattering, and find agreement with RMT.

Citations

• Weak localization and conductance fluctuations in a quantum dot with parallel magnetic field and spin-orbit scattering
• Weak localization of the open kicked rotator
• Diagrammatic method of integration over the unitary group, with applications to quantum transport in mesoscopic systems
• Ehrenfest-Time Dependence of Weak Localization in Open Quantum Dots
• Random-matrix theory of quantum transport
• Dynamical model for the quantum-to-classical crossover of shot noise
• Quantum Andreev Map: A Paradigm of Quantum Chaos in Superconductivity

Cited by

• Dephasing in quantum chaotic transport: A semiclassical approach
• Effect of symmetry class transitions on the shot noise in chaotic quantum dots