Hall conductivity as a topological invariant

Hall conductivity as a topological invariant
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DOI:
10.1002/pssb.200460762
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发表时间:
2004-09
期刊:
physica status solidi (b)
影响因子:
--
通讯作者:
A. Kunold;M. Torres
A. Kunold;M. Torres
中科院分区:
其他
文献类型:
--
作者:
A. Kunold;M. Torres

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本工作的目的是通过量子霍尔效应的对称性和拓扑方面的研究。我们考虑在平面电场和垂直磁场作用下电子在二维晶格中运动的模型。我们称之为二维电磁布洛赫问题(EMB)。分析了线性响应近似下的霍尔电导量子化。(© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA,魏因海姆)
The object of the present work is to study the quantum Hall effect through its symmetries and topological aspects. We consider the model of an electron moving in a two‐dimensional lattice in the presence of applied in‐plain electric field and perpendicular magnetic field. We refer to this as the two dimensional electric–magnetic Bloch problem (EMB). The Hall conductivity quantization beyond the linear response approximation is analyzed. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)