Topological invariance of the Hall conductance and quantization

被引：0
|
作者：
Bracken, Paul [1 ]
机构：
[1] Univ Texas Pan Amer, Dept Math, Edinburg, TX 78540 USA
来源：
MODERN PHYSICS LETTERS B | 2015年 / 29卷 / 24期
关键词：
Conductance; Hall; torus; fractional; Kubo; quantization; FRACTIONAL QUANTIZATION;
D O I：
10.1142/S0217984915501353
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
It is shown that the Kubo equation for the Hall conductance can be expressed as an integral which implies quantization of the Hall conductance. The integral can be interpreted as the first Chern class of a U(1) principal fiber bundle on a two-dimensional torus. This accounts for the conductance given as an integer multiple of e(2)/h. The formalism can be extended to deduce the fractional conductivity as well.
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页数：6
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