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arXiv 0903.2107cond-mat.mes-hallcond-mat.dis-nn
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量子自旋霍尔绝缘体边缘输运的DMPK方程

DMPK Equation for the Edge Transport of Quantum Spin Hall Insulator

Dafang Li, Junren Shi

摘要:

利用随机矩阵理论研究了具有多个边缘态的量子自旋霍尔绝缘体在淬火无序存在下的边缘输运的系综统计。建立了适用于该系统的Dorokhov-Mello-Pereyra-Kumar方程。结果表明,二维量子自旋霍尔绝缘体是一种新型的一维量子导体,其系综统计与普通的一维量子导体或具有偶数Kramers边对的绝缘体不同.系综统计提供了一个物理表现的Z2分类的时间反转不变的绝缘体。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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