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Phys. Rev. B 79, 241303(R) (2009) [4 pages]Dorokhov-Mello-Pereyra-Kumar equation for the edge transport of a quantum spin Hall insulator
Received 13 March 2009; revised 13 May 2009; published 2 June 2009
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. ©2009 The American Physical Society
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