Random walks through the ensemble: Linking spectral statistics with wave-function correlations in disordered metals

被引：62

作者：

Chalker, JT ^{[1
]}

Lerner, IV ^{[1
]}

Smith, RA ^{[1
]}

机构：

[1] UNIV BIRMINGHAM,SCH PHYS & SPACE RES,BIRMINGHAM B15 2TT,W MIDLANDS,ENGLAND

来源：

PHYSICAL REVIEW LETTERS | 1996年 / 77卷 / 03期

关键词：

D O I：

10.1103/PhysRevLett.77.554

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We use a random walk in the ensemble of impurity configurations to generate a Brownian motion model for energy levels in disordered conductors. Treating arclength along the random walk as fictitous time, the resulting Langevin equation relates spectral statistics to eigenfunction correlations. Solving this equation al energy scales large compared with the mean level spacing, we obtain the spectral form factor and its parametric dependence.

引用

页码：554 / 557

页数：4

共 27 条

[1]

ALTSHULER BL, 1986, ZH EKSP TEOR FIZ, V64, P127

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

ARGAMAN, N ;

IMRY, Y ;

SMILANSKY, U .

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

[3] SPECTRAL CORRELATIONS IN DISORDERED ELECTRONIC SYSTEMS - CROSSOVER FROM METAL TO INSULATOR REGIME [J].

ARONOV, AG ;

KRAVTSOV, VE ;

LERNER, IV .

PHYSICAL REVIEW LETTERS, 1995, 74 (07) :1174-1177

[4] BROWNIAN-MOTION MODEL FOR PARAMETRIC CORRELATIONS IN THE SPECTRA OF DISORDERED METALS [J].

BEENAKKER, CWJ .

PHYSICAL REVIEW LETTERS, 1993, 70 (26) :4126-4129

[5]

Chalker J. T., UNPUB

[6] SCALING AND EIGENFUNCTION CORRELATIONS NEAR A MOBILITY EDGE [J].

CHALKER, JT .

PHYSICA A, 1990, 167 (01) :253-258

[7] SCALING, DIFFUSION, AND THE INTEGER QUANTIZED HALL-EFFECT [J].

CHALKER, JT ;

DANIELL, GJ .

PHYSICAL REVIEW LETTERS, 1988, 61 (05) :593-596

[8] SPECTRAL PROPERTIES OF SYSTEMS WITH DYNAMIC LOCALIZATION .1. THE LOCAL SPECTRUM [J].

DITTRICH, T ;

SMILANSKY, U .

NONLINEARITY, 1991, 4 (01) :59-84

[9] CLASS OF MATRIX ENSEMBLES [J].

DYSON, FJ .

JOURNAL OF MATHEMATICAL PHYSICS, 1972, 13 (01) :90-&

[10] A BROWNIAN-MOTION FOR EIGENVALUES OF A RANDOM MATRIX [J].

DYSON, FJ .

JOURNAL OF MATHEMATICAL PHYSICS, 1962, 3 (06) :1191-+

← 1 2 3 →