DYNAMICS OF ELECTRONS IN SOLIDS IN EXTERNAL FIELDS .2.

被引:20
作者
ZAK, J
机构
[1] Department of Physics, Francis Bitter National Magnet Laboratory, Massachusetts Institute of Technology, Cambridge
[2] Department of Physics, Technion-Israel Institute of Technology, Haifa
[3] Department of Physics, Northwestern University, Evanston
来源
PHYSICAL REVIEW | 1969年 / 177卷 / 03期
关键词
D O I
10.1103/PhysRev.177.1151
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Further applications of the kq representation to the dynamics of electrons in solids are carried out. The Bloch theory of conduction electrons is reformulated in the new representation. The symmetry of the problem is discussed in light of the kq representation. In particular, the motion of an electron in both a periodic potential and a constant magnetic field is developed on a firm quantum-mechanical basis. A complete and orthonormal set of magnetic Bloch functions is defined. These functions are shown to obey the magnetic translation symmetry, and it is for this reason that they are very useful in describing the motion of a Bloch electron in a magnetic field. © 1969 The American Physical Society.
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页码:1151 / &
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