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arXiv 0909.4125cond-mat.mes-hallcond-mat.str-el
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拓扑绝缘体表面态的量子霍尔效应

Quantum Hall effect of the surface states in topological insulator

Shun-Qing Shen

摘要:

在边缘态框架下研究了垂直磁场作用下拓扑绝缘体表面态的量子霍尔效应。狄拉克费米子的运动将形成离散的朗道能级,其中完全饱和的零模将根据狄拉克费米子有效质量的符号在边界附近有不同的行为。霍尔电导被量子化为n(n为整数),单位为:正质量为e^2/h,负质量为n+1,无质量费米子为n+1/2。在拓扑绝缘体中,狄拉克费米子的质量项可以是磁场中的塞曼耦合,也可以是薄膜中的有限尺寸效应引起的。例如Bi_2Se_3的g因子是正的,对狄拉克费米子产生正的质量项。我们致力于拓扑绝缘体中量子霍尔效应的实验实现。

英文摘要:

We study the quantum Hall effect in the surface states of topological insulator in the presence of a perpendicular magnetic field in the framework of edge states. Motion of Dirac fermions will form descrete Landau levels, among which a fully saturated zero mode will have different behaviors near the boundary according to the sign of the effective mass for Dirac fermions. The Hall conductance is quantized to be n (n is an integer) in the unit of e^2/h for a positive mass, n+1 for a negative mass, and n+1/2 for massless fermions. In topological insulator the massive term to the Dirac fermions can be the Zeeman coupling in a magnetic field or be induced by the finite-size effect in an ultrathin film. For example the g-factor of Bi_2Se_3 is positive and give rise to a positive mass term for Dirac fermions. We address experimental realization of the quantum Hall effect in topological 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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