Effects of screening on the Hofstadter butterfly

被引:53
作者
Gudmundsson, V [1 ]
Gerhardts, RR [1 ]
机构
[1] MAX PLANCK INST FESTKORPERFORSCH, D-70569 STUTTGART, GERMANY
关键词
D O I
10.1103/PhysRevB.52.16744
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We study, within the Hartree approximation, the effects of the electron-electron interaction on the energy spectrum of a two-dimensional electron gas in a perpendicular homogeneous magnetic field and a lateral superlattice potential with square symmetry. Due to the strong screening effects, the bandwidth of the Landau bands oscillates strongly with their filling. For short enough periods and strong enough modulation of the superlattice potential, the miniband structure of the Landau bands can be resolved in the thermodynamic density of states.
引用
收藏
页码:16744 / 16752
页数:9
相关论文
共 28 条
[1]  
Azbel M. Ya, 1964, ZH EKSP TEOR FIZ, V46, P929
[2]   GUIDING-CENTER-DRIFT RESONANCE IN A PERIODICALLY MODULATED TWO-DIMENSIONAL ELECTRON-GAS [J].
BEENAKKER, CWJ .
PHYSICAL REVIEW LETTERS, 1989, 62 (17) :2020-2023
[3]   2-DIMENSIONAL ELECTRONS IN A STRONG MAGNETIC-FIELD - A BASIS FOR SINGLE-PARTICLE STATES [J].
FERRARI, R .
PHYSICAL REVIEW B, 1990, 42 (07) :4598-4609
[4]   QUANTUM MAGNETOTRANSPORT THEORY FOR 2-DIMENSIONAL ELECTRON-SYSTEMS WITH UNIDIRECTIONAL PERIODIC MODULATION [J].
GERHARDTS, RR ;
ZHANG, C .
SURFACE SCIENCE, 1990, 229 (1-3) :92-95
[5]   NOVEL MAGNETORESISTANCE OSCILLATIONS IN A PERIODICALLY MODULATED TWO-DIMENSIONAL ELECTRON-GAS [J].
GERHARDTS, RR ;
WEISS, D ;
VONKLITZING, K .
PHYSICAL REVIEW LETTERS, 1989, 62 (10) :1173-1176
[6]   GUIDING-CENTER-DRIFT RESONANCE IN A PERIODICALLY MODULATED 2-DIMENSIONAL ELECTRON-GAS - COMMENT [J].
GERHARDTS, RR ;
ZHANG, C .
PHYSICAL REVIEW LETTERS, 1990, 64 (12) :1473-1473
[7]   ENHANCEMENT OF THE G-FACTOR AND SPIN-DENSITY-WAVE STATE IN A CONFINED 2DEG IN THE QUANTUM HALL REGIME [J].
GUOMUNDSSON, V ;
PALSSON, G .
PHYSICA SCRIPTA, 1994, 54 :92-95
[8]   SINGLE BAND MOTION OF CONDUCTION ELECTRONS IN A UNIFORM MAGNETIC FIELD [J].
HARPER, PG .
PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON SECTION A, 1955, 68 (10) :874-878
[9]   ENERGY-LEVELS AND WAVE-FUNCTIONS OF BLOCH ELECTRONS IN RATIONAL AND IRRATIONAL MAGNETIC-FIELDS [J].
HOFSTADTER, DR .
PHYSICAL REVIEW B, 1976, 14 (06) :2239-2249
[10]   ON THE ENERGY-SPECTRUM OF LATERAL SURFACE SUPERLATTICES IN A MAGNETIC-FIELD - INFLUENCE OF LANDAU-LEVEL COUPLING [J].
KUHN, O ;
SELBMANN, PE ;
FESSATIDIS, V ;
CUI, HL .
JOURNAL OF PHYSICS-CONDENSED MATTER, 1993, 5 (44) :8225-8232