A topological look at the quantum Hall effect

被引：116

作者：

Avron, JE ^{[1
]}

Osadchy, D

Seller, R

机构：

[1] Technion Israel Inst Technol, Haifa, Israel

[2] Tech Univ Berlin, Berlin, Germany

来源：

PHYSICS TODAY | 2003年 / 56卷 / 08期

关键词：

All Open Access; Bronze;

D O I：

10.1063/1.1611351

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Quantum Hall effect was studied in terms of topological invariant known as Chern number. The Churn number is topological in the sense that it is invariant under small deformations of the Hamiltonian. The thermodynamic properties of the 2D electron gas in Hofstadter's model were also determined by three parameters: the magnetic flux, the temperature, and the chemical potential, which fixes the electron density.

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页码：38 / 42

页数：5

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