Boundary conditions at the mobility edge

被引：101

作者：

Braun, D ^{[1
]}

Montambaux, G

Pascaud, M

机构：

[1] Univ Essen Gesamthsch, Fachbereich Phys 7, D-45117 Essen, Germany

[2] Univ Paris Sud, CNRS, Phys Solides Lab, F-91405 Orsay, France

来源：

PHYSICAL REVIEW LETTERS | 1998年 / 81卷 / 05期

关键词：

D O I：

10.1103/PhysRevLett.81.1062

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown that the universal behavior of the spacing distribution of nearest energy levels at the metal-insulator Anderson transition is indeed dependent on the boundary conditions. The spectral rigidity Sigma(2)(E) also depends on the boundary conditions, but this dependence vanishes at high energy E. This implies that the multifractal exponent D-2 of the participation ratio of wave functions in the bulk is not affected by the boundary conditions.

引用

页码：1062 / 1065

页数：4

共 29 条

[1]

Al'tshuler B. L., 1988, Soviet Physics - JETP, V67, P625

[2]

ALTSHULER BL, 1986, ZH EKSP TEOR FIZ+, V91, P220

[3] SEMICLASSICAL ANALYSIS OF SPECTRAL CORRELATIONS IN MESOSCOPIC SYSTEMS [J].

ARGAMAN, N ;

IMRY, Y ;

SMILANSKY, U .

PHYSICAL REVIEW B, 1993, 47 (08) :4440-4457

[4] Crossover from critical orthogonal to critical unitary statistics at the Anderson transition [J].

Batsch, M ;

Schweitzer, L ;

Zharekeshev, IK ;

Kramer, B .

PHYSICAL REVIEW LETTERS, 1996, 77 (08) :1552-1555

[5]

BOGOMOLNY EB, IN PRESS

[6]

Brandes T, 1996, ANN PHYS-LEIPZIG, V5, P633

[7] Level curvatures and conductances: A numerical study of the Thouless relation [J].

Braun, D ;

Hofstetter, E ;

MacKinnon, A ;

Montambaux, G .

PHYSICAL REVIEW B, 1997, 55 (12) :7557-7564

[8] SPECTRAL CORRELATIONS FROM THE METAL TO THE MOBILITY EDGE [J].

BRAUN, D ;

MONTAMBAUX, G .

PHYSICAL REVIEW B, 1995, 52 (19) :13903-13909

[9] Distribution of level curvatures for the Anderson model at the localization-delocalization transition [J].

Canali, CM ;

Basu, C ;

Stephan, W ;

Kravtsov, VE .

PHYSICAL REVIEW B, 1996, 54 (03) :1431-1434

[10] MULTIFRACTAL WAVE-FUNCTION AT THE LOCALIZATION THRESHOLD [J].

CASTELLANI, C ;

PELITI, L .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (08) :L429-L432

← 1 2 3 →