UNIVERSALITY IN THE 2D LOCALIZATION PROBLEM

被引：30

作者：

FASTENRATH, U

ADAMS, G

BUNDSCHUH, R

HERMES, T

RAAB, B

SCHLOSSER, I

WEHNER, T

WICHMANN, T

机构：

[1] Institut für Theoretische Physik, Universität zu Köln, W-5000 Köln 41

来源：

PHYSICA A | 1991年 / 172卷 / 03期

关键词：

D O I：

10.1016/0378-4371(91)90384-O

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The universality hypothesis of the localization problem has been questioned recently because numerical calculations of critical exponents using different probability distributions for the random potential yielded different results. We study a model proposed by Ando for a 2D symplectic system which enables us to examine system sizes large enough to reduce size effects. We find the critical exponents to be universal but different from Ando's one.

引用

收藏

页码：302 / 308

页数：7

相关论文

共 24 条

[1] NUMERICAL STUDY OF SYMMETRY EFFECTS ON LOCALIZATION IN 2 DIMENSIONS [J].

ANDO, T .

PHYSICAL REVIEW B, 1989, 40 (08) :5325-5339

[2] 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

[3] PERCOLATION, QUANTUM TUNNELLING AND THE INTEGER HALL-EFFECT [J].

CHALKER, JT ;

CODDINGTON, PD .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1988, 21 (14) :2665-2679

[4]

CHAYES JT, 1986, PHYS REV LETT, V57, P299

[5] EVIDENCE FOR ANDERSON TRANSITIONS IN 2D [J].

FASTENRATH, U .

SOLID STATE COMMUNICATIONS, 1990, 76 (06) :855-857

[6] NUMERICAL AND ANALYTICAL INVESTIGATIONS OF LOCALIZATION IN MAGNETIC-FIELDS [J].

FASTENRATH, U .

JOURNAL OF PHYSICS-CONDENSED MATTER, 1990, 2 (34) :7123-7135

[7] LOCALIZATION IN THE PRESENCE OF SPIN-DEPENDENT SCATTERING - A RENORMALIZATION-GROUP STUDY [J].

GREMPEL, DR .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1987, 20 (21) :3143-3153

[8]

HAYDOCK R, 1986, PHILOS MAG B, V53, P554

[9] LOCALIZATION LENGTH AND INVERSE PARTICIPATION RATIO OF TWO-DIMENSIONAL ELECTRON IN THE QUANTIZED HALL-EFFECT [J].

HIKAMI, S .

PROGRESS OF THEORETICAL PHYSICS, 1986, 76 (06) :1210-1221

[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