DMPK Equation for the Edge Transport of Quantum Spin Hall Insulator

Details DMPK Equation for the Edge Transport of Quantum Spin Hall Insulator DMPK Equation for the Edge Transport of Quantum Spin Hall Insulator

2009-03-12

arxiv.org/abs/0903.2107v2

Phys. Rev. B 79, 241303(R) (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Added a few references, and corrected a few typos. 5 pages, 3 figures

Scientific paper

10.1103/PhysRevB.79.241303

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.

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