CHARACTERIZATION OF THE ELECTRONIC STATES NEAR THE CENTERS OF THE LANDAU BANDS UNDER QUANTUM HALL CONDITIONS

被引:52
作者
HUCKESTEIN, B
KRAMER, B
SCHWEITZER, L
机构
[1] Physikalisch-Technische Bundesanstalt, 3300 Braunschweig
关键词
D O I
10.1016/0039-6028(92)90320-6
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
The properties of the states near the centres of the Landau bands in disordered two-dimensional systems are investigated with respect to their asymptotic and fractal behaviour. It is shown that they can be described by a one-parameter scaling law close to the centres of the bands where the localization length diverges with an exponent nu = 2.35 +/- 0.03. Universality with respect to the range of the random potential is explicitly demonstrated. Furthermore, the states have a multifractal character with a log-normal distribution of the amplitudes.
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收藏
页码:125 / 128
页数:4
相关论文
共 20 条
[1]   FINITE-SIZE SCALING STUDY OF LOCALIZATION IN LANDAU-LEVELS [J].
ANDO, T ;
AOKI, H .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1985, 54 (06) :2238-2249
[2]  
[Anonymous], 1985, LANCZOS ALGORITHMS L
[3]   CRITICAL LOCALIZATION IN 2-DIMENSIONAL LANDAU QUANTIZATION [J].
AOKI, H ;
ANDO, T .
PHYSICAL REVIEW LETTERS, 1985, 54 (08) :831-834
[4]   FRACTAL DIMENSIONALITY OF WAVE-FUNCTIONS AT THE MOBILITY EDGE - QUANTUM FRACTAL IN THE LANDAU-LEVELS [J].
AOKI, H .
PHYSICAL REVIEW B, 1986, 33 (10) :7310-7313
[5]  
CHALKER JT, 1988, J PHYS C SOLID STATE, V21, P2655
[6]   DIRECT DETERMINATION OF THE F(ALPHA) SINGULARITY SPECTRUM [J].
CHHABRA, A ;
JENSEN, RV .
PHYSICAL REVIEW LETTERS, 1989, 62 (12) :1327-1330
[7]   MULTIFRACTAL WAVE-FUNCTIONS AT THE MOBILITY EDGE [J].
EVANGELOU, SN .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (07) :L317-L323
[8]   FRACTAL MEASURES AND THEIR SINGULARITIES - THE CHARACTERIZATION OF STRANGE SETS [J].
HALSEY, TC ;
JENSEN, MH ;
KADANOFF, LP ;
PROCACCIA, I ;
SHRAIMAN, BI .
PHYSICAL REVIEW A, 1986, 33 (02) :1141-1151
[9]   THE INFINITE NUMBER OF GENERALIZED DIMENSIONS OF FRACTALS AND STRANGE ATTRACTORS [J].
HENTSCHEL, HGE ;
PROCACCIA, I .
PHYSICA D, 1983, 8 (03) :435-444
[10]   ONE-PARAMETER SCALING IN THE LOWEST LANDAU BAND - PRECISE DETERMINATION OF THE CRITICAL-BEHAVIOR OF THE LOCALIZATION LENGTH [J].
HUCKESTEIN, B ;
KRAMER, B .
PHYSICAL REVIEW LETTERS, 1990, 64 (12) :1437-1440