2-DIMENSIONAL ELECTRONS IN A STRONG MAGNETIC-FIELD - A BASIS FOR SINGLE-PARTICLE STATES

被引:48
作者
FERRARI, R [1 ]
机构
[1] NATL INST NUCL PHYS, MILAN, ITALY
关键词
D O I
10.1103/PhysRevB.42.4598
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper a formalism is developed for electrons trapped in two space dimensions in the presence of an external magnetic field. A basis for single-particle states is derived that is invariant, up to a phase, under discrete space translations. © 1990 The American Physical Society.
引用
收藏
页码:4598 / 4609
页数:12
相关论文
共 10 条
[1]   LOCALIZATION, WAVEFUNCTION TOPOLOGY, AND THE INTEGER QUANTIZED HALL-EFFECT [J].
AROVAS, DP ;
BHATT, RN ;
HALDANE, FDM ;
LITTLEWOOD, PB ;
RAMMAL, R .
PHYSICAL REVIEW LETTERS, 1988, 60 (07) :619-622
[2]  
Bargmann V., 1971, REP MATH PHYS, V2, P221, DOI 10.1016/0034-4877(71)90006-1
[3]  
GRUMM HR, 1985, ACTA PHYS AUSTRIACA, V57, P175
[4]   MANY-PARTICLE TRANSLATIONAL SYMMETRIES OF TWO-DIMENSIONAL ELECTRONS AT RATIONAL LANDAU-LEVEL FILLING [J].
HALDANE, FDM .
PHYSICAL REVIEW LETTERS, 1985, 55 (20) :2095-2098
[5]   POSSIBLE STATES FOR A 3-DIMENSIONAL ELECTRON-GAS IN A STRONG MAGNETIC-FIELD [J].
HALPERIN, BI .
JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS SHORT NOTES & REVIEW PAPERS, 1987, 26 :1913-1919
[6]   QUANTIZED MOTION OF 3 TWO-DIMENSIONAL ELECTRONS IN A STRONG MAGNETIC-FIELD [J].
LAUGHLIN, RB .
PHYSICAL REVIEW B, 1983, 27 (06) :3383-3389
[7]   2 DIMENSIONAL INTERACTING ELECTRONS ON A TORUS IN A STRONG MAGNETIC-FIELD - SYMMETRY PROPERTIES AND THE EFFECT OF DISORDER [J].
MIELKE, A .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1988, 71 (02) :179-185
[8]  
MONTALDI E, COMMUNICATION
[9]  
VONNEUMANN J, 1955, MATH FDN QUANTUM MEC, pCH3
[10]   MAGNETIC TRANSLATION GROUP [J].
ZAK, J .
PHYSICAL REVIEW, 1964, 134 (6A) :1602-+