Localization in a quantum spin Hall system.
Localization in a quantum spin Hall system.
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DOI：
10.1103/physrevlett.98.076802
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发表时间：
2006-05
影响因子：
8.6
通讯作者：
M. Onoda;Y. Avishai;N. Nagaosa
中科院分区：
文献类型：
--
作者：
M. Onoda;Y. Avishai;N. Nagaosa
采用转移矩阵法研究了二维量子自旋霍尔系统（即具有拓扑项的辛系综）中电子态的局域化问题。能量和无序强度平面上的相图被暴露出来，并展示了类似于整数量子霍尔系统的扩展态域的“悬浮”和“对湮灭”。局域长度散度的临界指数 nu 估计为与 1.6 一致的 nu，这与传统辛和酉量子霍尔系统的指数都不同。我们的分析强烈表明与相关系统的拓扑相关的不同普遍性类别。
The localization problem of electronic states in a two-dimensional quantum spin Hall system (that is, a symplectic ensemble with topological term) is studied by the transfer matrix method. The phase diagram in the plane of energy and disorder strength is exposed, and demonstrates "levitation" and "pair annihilation" of the domains of extended states analogous to that of the integer quantum Hall system. The critical exponent nu for the divergence of the localization length is estimated as nu congruent with 1.6, which is distinct from both exponents pertaining to the conventional symplectic and the unitary quantum Hall systems. Our analysis strongly suggests a different universality class related to the topology of the pertinent system.