Localisation and the two-dimensional Hall effect
Localisation and the two-dimensional Hall effect
复制标题
局域化和二维霍尔效应
DOI：
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发表时间：
1981
期刊：
影响因子：
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通讯作者：
D. Thouless
中科院分区：
文献类型：
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作者：
D. Thouless
本文研究了强磁场中二维系统中衬底势对电子的影响。在零温度下，如果费米能级位于朗道能级之间，微扰理论具有非零的收敛半径，并且衬底电势不改变霍尔电压。局域态可能存在于朗道能级的尾部，但这些对横向电流没有贡献。扩展状态的性质进行了研究，但没有得出明确的结论。
The effect of a random substrate potential on electrons in a two-dimensional system in a strong magnetic field is examined. At zero temperature if the Fermi energy lies between Landau levels perturbation theory has a non-zero radius of convergence, and the substrate potential does not change the Hall voltage. Localised states may exist in the tails of the Landau levels, but these do not contribute to the transverse current. The nature of the extended states is examined, but no firm conclusions are reached.