迁移率带隙中体和边缘霍尔电导的相等性
Equality of the bulk and edge Hall conductances in a mobility gap
摘要：
我们考虑了二维量子霍尔系统的边缘和体电导，其中费米能量落在体态局域化的带中。我们表明，由此产生的数量是相等的，适当的定义。边缘电导的适当定义可以通过合适的时间平均过程或通过包括来自局域带中的状态的贡献来获得。在进一步的结果哈珀哈密顿，我们表明，这一贡献是必不可少的。在附录中，我们建立了量子化的高原系统的电导，不需要翻译遍历。
英文摘要：
We consider the edge and bulk conductances for 2D quantum Hall systems in which the Fermi energy falls in a band where bulk states are localized. We show that the resulting quantities are equal, when appropriately defined. An appropriate definition of the edge conductance may be obtained through a suitable time averaging procedure or by including a contribution from states in the localized band. In a further result on the Harper Hamiltonian, we show that this contribution is essential. In an appendix we establish quantized plateaus for the conductance of systems which need not be translation ergodic.
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