ENERGY OF ELECTRONS ON A 2-DIMENSIONAL LATTICE IN A MAGNETIC-FIELD - PERTURBATION-THEORY VERSUS PEIERLS SUBSTITUTION

被引：7

作者：

ALEXANDROV, A ^{[1
]}

CAPELLMANN, H ^{[1
]}

机构：

[1] MOSCOW PHYS ENGN INST, MOSCOW, USSR

来源：

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER | 1991年 / 83卷 / 02期

关键词：

D O I：

10.1007/BF01309424

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

Energy levels and total energy of electrons in a magnetic field moving in a two dimensional periodic potential are obtained. Two limiting cases are treated: the tight binding limit and the weak potential. In these cases different direct perturbation theories are applicable. The energy difference with and without magnetic field is compared with calculations based on the "Peierls substitution". The latter is shown to lead to severe qualitative and quantitative errors. The sources of these errors are clarified. The spontaneous generation of a magnetic field is shown to be impossible.

引用

页码：237 / 244

页数：8

共 14 条

[11] On the theory of diamagnetism of conduction electrons. [J].