Adams representation and localization in a magnetic field
Adams representation and localization in a magnetic field
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磁场中的亚当斯表示和定位
DOI：
10.1103/physrevb.28.811
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发表时间：
1983
影响因子：
3.7
通讯作者：
J. Zak
中科院分区：
文献类型：
--
作者：
I. Dana;J. Zak
利用Adams表示和von Neumann晶格的概念，研究了Bloch电子在磁场中的局域化问题。推导了磁场中的Bloch函数，并建立了它们的性质。在这些函数的基础上，构造了磁亚当斯表示。它的特征是磁带指数和磁准量子κ→，类似于布洛赫理论中的亚当斯表示。结果表明，磁场中的局域化问题与von Neumann晶格理论中的相应问题密切相关。
The localization problem of a Bloch electron in a magnetic field is investigated by using the concepts of the Adams representation and of von Neumann lattices. Bloch functions in a magnetic field are derived, and their properties are established. The magnetic Adams representation, based on these functions, is constructed. It is characterized by a magnetic band index and a magnetic quasimomentum κ→, and is analogous to the Adams representation in the Bloch theory. It is shown that the problem of localization in a magnetic field is closely related to the corresponding problem in the theory of von Neumann lattices.