DMPK Equation for the Edge Transport of Quantum Spin Hall Insulator

Using the random matrix theory, we investigate the ensemble statistics of edge transport of a quantum spin Hall insulator with multiple edge states in the presence of quenched disorder. Dorokhov-Mello-Pereyra-Kumar equation applicable for such a system is established. It is found that a two-dimensio...

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Bibliographic Details
Published inarXiv.org
Main Authors Li, Dafang, Shi, Junren
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 28.05.2009
Subjects
Conductors
Insulators
Matrix theory
Physics - Disordered Systems and Neural Networks
Physics - Mesoscale and Nanoscale Physics
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Summary:Using the random matrix theory, we investigate the ensemble statistics of edge transport of a quantum spin Hall insulator with multiple edge states in the presence of quenched disorder. Dorokhov-Mello-Pereyra-Kumar equation applicable for such a system is established. It is found that a two-dimensional quantum spin Hall insulator is effectively a new type of one-dimensional (1D) quantum conductor with the different ensemble statistics from that of the ordinary 1D quantum conductor or the insulator with an even number of Kramers edge pairs. The ensemble statistics provides a physical manifestation of the Z2-classification for the time-reversal invariant insulators.
ISSN:2331-8422
DOI:10.48550/arxiv.0903.2107