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Development in the Scattering Matrix Theory: From Spin-Orbit-Coupling Affected Shot Noise to Quantum Pumping

2010/11/16 by Rui Zhu, Zhu, Rui
Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #cond-mat.mes-hall

paper · pdf · doi:10.48550/arxiv.1011.3603

38 pages, 12 figures

arxiv created 2010/11/16 · arxiv updated 2010/11/17

Abstract

The review chapter starts by a pedagogical introduction to the general concept of the scattering theory: from the fundamental wave-function picture to the second-quantization language, with the aim to clear possible ambiguity in conventional textbooks. Recent progress in applying the method to current fluctuations and oscillating-parameter driven quantum pumping processes is presented with inclusion of contributions by Büttiker, Brouwer, Moskalets, Zhu, etc. In particular, the spin-orbit-coupling affected shot noise can be dealt with by taking into account the spin-dependent scattering processes. A large shot noise suppression with the Fano factor below 0.5 observed experimentally can be illustrated by effective repulsion between electrons with antiparallel spin induced by the Dresselhaus spin-orbit coupling effect. A Floquet scattering theory for quantum-mechanical pumping in mesoscopic conductors is developed by Moskalets et al., which gives a general picture of quantum pumping phenomenon, from adiabatic to non-adiabatic and from weak pumping to strong pumping.

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