Detection of Landau band coupling induced rearrangement of the Hofstadter butterfly

被引：10

作者：

Geisler, MC

Smet, JH

Umansky, V

von Klitzing, K

Naundorf, B

Ketzmerick, R

Schweizer, H

机构：

[1] Max Planck Inst Festkorperforsch, D-70569 Stuttgart, Germany

[2] Weizmann Inst Sci, Braun Ctr Submicron Res, IL-76100 Rehovot, Israel

[3] Univ Gottingen, Max Planck Inst Stromungsforsch, D-37073 Gottingen, Germany

[4] Univ Gottingen, Inst Nichtlineare Dynam, D-37073 Gottingen, Germany

[5] Tech Univ Dresden, Inst Theoret Phys, D-01062 Dresden, Germany

[6] Univ Stuttgart, Inst Phys 4, D-70550 Stuttgart, Germany

来源：

PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES | 2004年 / 25卷 / 2-3期

关键词：

Hofstadter butterfly; quantum Hall effect; superlattice; 2D electron gas;

D O I：

10.1016/j.physe.2004.06.021

中图分类号：

TB3 [工程材料学];

学科分类号：

0805 ; 080502 ;

摘要：

The spectrum of two-dimensional 2D electrons subjected to a weak 2D potential and a perpendicular magnetic field is composed of Landau bands with a fractal internal pattern of subbands and minigaps referred to as Hofstadter's butterfly. The Hall conductance may serve as a spectroscopic tool as each filled sub-band contributes a specific quantized value. Advances in sample fabrication now finally offer access to the regime away from the limiting case of a very weak potential. Complex behavior of the Hall conductance is observed and assigned to Landau band coupling induced rearrangements within the butterfly. (C) 2004 M.C. Geisler. Published by Elsevier B.V. All rights reserved.

引用

页码：227 / 232

页数：6

共 9 条

[1] Evidence of Hofstadter's fractal energy spectrum in the quantized Hall conductance
Albrecht, C
Smet, JH
von Klitzing, K
Weiss, D
Umansky, V
Schweizer, H
[J]. PHYSICAL REVIEW LETTERS, 2001, 86 (01) : 147 - 150
[2] ENERGY-LEVELS AND WAVE-FUNCTIONS OF BLOCH ELECTRONS IN RATIONAL AND IRRATIONAL MAGNETIC-FIELDS
HOFSTADTER, DR
[J]. PHYSICAL REVIEW B, 1976, 14 (06): : 2239 - 2249
[3] TIGHT-BINDING AND NEARLY-FREE-ELECTRON APPROACH TO LATTICE ELECTRONS IN EXTERNAL MAGNETIC FIELDS
LANGBEIN, D
[J]. PHYSICAL REVIEW, 1969, 180 (03): : 633 - &
[4] LAUGHLIN RB, 1981, PHYS REV B, V23, P5632, DOI 10.1103/PhysRevB.23.5632
[5] THEORY OF MAGNETOTRANSPORT IN 2-DIMENSIONAL ELECTRON-SYSTEMS SUBJECTED TO WEAK 2-DIMENSIONAL SUPERLATTICE POTENTIALS
PFANNKUCHE, D
GERHARDTS, RR
[J]. PHYSICAL REVIEW B, 1992, 46 (19): : 12606 - 12626
[6] Internal structure of a Landau band induced by a lateral superlattice: A glimpse of Hofstadter's butterfly
Schlosser, T
Ensslin, K
Kotthaus, JP
Holland, M
[J]. EUROPHYSICS LETTERS, 1996, 33 (09): : 683 - 688
[7] Hall conductance of Bloch electrons in a magnetic field
Springsguth, D
Ketzmerick, R
Geisel, T
[J]. PHYSICAL REVIEW B, 1997, 56 (04): : 2036 - 2043
[8] STREDA P, 1982, J PHYS C SOLID STATE, V15, P1299, DOI 10.1088/0022-3719/15/36/006
[9] QUANTIZED HALL CONDUCTANCE IN A TWO-DIMENSIONAL PERIODIC POTENTIAL
THOULESS, DJ
KOHMOTO, M
NIGHTINGALE, MP
DENNIJS, M
[J]. PHYSICAL REVIEW LETTERS, 1982, 49 (06) : 405 - 408

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