霍尔电导平台的宽度
Widths of the Hall Conductance Plateaus
摘要：
研究了零温下含Anderson型杂质的二维量子霍尔系统中非相互作用电子气的电荷输运。我们证明了在无序加宽的朗道带中存在体序的局域态，其能量小于由均匀磁场强度确定的某一值。我们还证明了，当费米能级位于本地化制度，霍尔电导被量化到所需的整数，并显示了平台的散装订单的不同的填充因子的电子，而不是费米能级。
英文摘要：
We study the charge transport of the noninteracting electron gas in a two-dimensional quantum Hall system with Anderson-type impurities at zero temperature. We prove that there exist localized states of the bulk order in the disordered-broadened Landau bands whose energies are smaller than a certain value determined by the strength of the uniform magnetic field. We also prove that, when the Fermi level lies in the localization regime, the Hall conductance is quantized to the desired integer and shows the plateau of the bulk order for varying the filling factor of the electrons rather than the Fermi level.
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