Semiclassical quantization of electrons in magnetic fields: The generalized Peierls substitution

被引：12
|
作者：
Gosselin, P. [1 ]
Boumrar, H. [2 ,3 ]
Mohrbach, H. [2 ]
机构：
[1] Univ Grenoble 1, UFR Math, CNRS UJF, Inst Fourier,UMR 5582, F-38402 St Martin Dheres, France
[2] Univ Paul Verlaine Metz, ICPMB FR CNRS 2843, Lab Phys Mol & Collis, F-57078 Metz 3, France
[3] Univ Mouloud Mammeri, Lab Phys & Chim Quant, Tizi Ouzou, Algeria
来源：
EPL | 2008年 / 84卷 / 05期
关键词：
D O I：
10.1209/0295-5075/84/50002
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A generalized Peierls substitution which takes into account a Berry phase term must be considered for the semiclassical treatment of electrons in a magnetic field. This substitution turns out to be an essential element for the correct determination of the semiclassical equations of motion as well as for the semiclassical Bohr-Sommerfeld quantization condition for energy levels. A general expression for the cross-sectional area is derived and used as an illustration for the calculation of energy levels of Bloch and Dirac electrons. Copyright (C) EPLA, 2008
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页数：5
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