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

[11] HOFSTETTER E, UNPUB
[12] THE ANDERSON TRANSITION - NEW NUMERICAL RESULTS FOR THE CRITICAL EXPONENTS
KRAMER, B
BRODERIX, K
MACKINNON, A
SCHREIBER, M
[J]. PHYSICA A, 1990, 167 (01): : 163 - 174
[13] LERNER IV, 1991, I PHYS C SER, V108, P53
[14] ONE-PARAMETER SCALING OF LOCALIZATION LENGTH AND CONDUCTANCE IN DISORDERED-SYSTEMS
MACKINNON, A
KRAMER, B
[J]. PHYSICAL REVIEW LETTERS, 1981, 47 (21) : 1546 - 1549
[15] THE SCALING THEORY OF ELECTRONS IN DISORDERED SOLIDS - ADDITIONAL NUMERICAL RESULTS
MACKINNON, A
KRAMER, B
[J]. ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1983, 53 (01): : 1 - 13
[16] MACKINNON A, 1994, J PHYS CONDENS MATT, V6, P511
[17] NUMERICAL EVALUATION OF THE CRITICAL-BEHAVIOR AT THE METAL-INSULATOR-TRANSITION IN A MAGNETIC-FIELD
OHTSUKI, T
KRAMER, B
ONO, Y
[J]. SOLID STATE COMMUNICATIONS, 1992, 81 (06) : 477 - 480
[18] LEVEL SPACING DISTRIBUTION AND DELTA-3-STATISTICS OF 2-DIMENSIONAL DISORDERED ELECTRONS IN STRONG MAGNETIC-FIELD
ONO, Y
KUWANO, H
SLEVIN, K
OHTSUKI, T
KRAMER, B
[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1993, 62 (08) : 2762 - 2772
[19] OTTOMEIER M, UNPUB
[20] PRESS WH, 1989, NUMERICAL RECIPES

← 1 2 3 →