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Scattering wave function approach to multi-terminal mesoscopic system with spin-orbit coupling

2006/05/13 by Yongjin Jiang, Jiang, Yongjin, Liangbin Hu +1
Materials Science · Physics and Astronomy · #FOS: Physical sciences #Lanthanide and Transition Metal Complexes #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum optics and atomic interactions #Random lasers and scattering media #cond-mat.mes-hall

paper · pdf · doi:10.48550/arxiv.cond-mat/0605361

arxiv created 2006/05/13 · openalex publication_date 2006/05/13 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper,we present a detailed formulation to solve the scattering wave function for a multi-terminal mesoscopic system with spin-orbit coupling. In addition to terminal currents, all local quantities can be calculated explicitly by taking proper ensemble average in the Landauer-Buttiker's spirit using the scattering wave functions. Based on this formulation, we derive some rigorous results for equilibrium state. Furthermore, some new symmetry relations are found for the typical two terminal structure in which a semiconductor bar with Rashba or/and Dresselhaus SO coupling is sandwiched symmetrically between two leads. These symmetry property can provide accuracy tests for experimental measurements and numerical calculations.

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