RELATION BETWEEN ENERGY-LEVEL STATISTICS AND PHASE-TRANSITION AND ITS APPLICATION TO THE ANDERSON MODEL

被引：82

作者：

HOFSTETTER, E ^{[1
]}

SCHREIBER, M ^{[1
]}

机构：

[1] TECH UNIV CHEMNITZ ZWICKAU,FACHBEREICH PHYS,D-09009 CHEMNITZ,GERMANY

来源：

PHYSICAL REVIEW B | 1994年 / 49卷 / 20期

关键词：

D O I：

10.1103/PhysRevB.49.14726

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A general method for describing a second-order phase transition is discussed. It starts with the energy-level statistics and uses finite-size scaling. It is applied to the metal-insulator transition in the Anderson model of localization, evaluating the cumulative level-spacing distribution as well as the Dyson-Metha statistics. The critical disorder W(c) = 16.5 and the critical exponent nu = 1.34 are computed.

引用

页码：14726 / 14729

页数：4

共 26 条

[1] ALTSHULER BL, 1988, ZH EKSP TEOR FIZ, V67, P625
[2] BOHIGAS O, 1984, LECT NOTES PHYS, V209, P1
[3] CHARACTERIZATION OF CHAOTIC QUANTUM SPECTRA AND UNIVERSALITY OF LEVEL FLUCTUATION LAWS
BOHIGAS, O
GIANNONI, MJ
SCHMIT, C
[J]. PHYSICAL REVIEW LETTERS, 1984, 52 (01) : 1 - 4
[4] AN INVESTIGATION OF FINITE SIZE SCALING
BREZIN, E
[J]. JOURNAL DE PHYSIQUE, 1982, 43 (01): : 15 - 22
[5] AHARONOV-BOHM FLUX AND STATISTICS OF ENERGY-LEVELS IN METALS
DUPUIS, N
MONTAMBAUX, G
[J]. PHYSICAL REVIEW B, 1991, 43 (18): : 14390 - 14395
[6] EVANGELOU SN, 1992, PHYS REV LETT, V8, P136
[7] SCALING THEORY FOR FINITE-SIZE EFFECTS IN CRITICAL REGION
FISHER, ME
BARBER, MN
[J]. PHYSICAL REVIEW LETTERS, 1972, 28 (23) : 1516 - &
[8] HIKAMI S, 1992, PROG THEOR PHYS SUPP, V107, P213
[9] STATISTICAL PROPERTIES OF THE EIGENVALUE SPECTRUM OF THE 3-DIMENSIONAL ANDERSON HAMILTONIAN
HOFSTETTER, E
SCHREIBER, M
[J]. PHYSICAL REVIEW B, 1993, 48 (23) : 16979 - 16985
[10] FINITE-SIZE SCALING AND CRITICAL EXPONENTS - A NEW APPROACH AND ITS APPLICATION TO ANDERSON LOCALIZATION
HOFSTETTER, E
SCHREIBER, M
[J]. EUROPHYSICS LETTERS, 1993, 21 (09): : 933 - 939

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