ANALYTICAL RESULTS FOR RANDOM BAND MATRICES WITH PREFERENTIAL BASIS

被引：39

作者：

FRAHM, K ^{[1
]}

MULLERGROELING, A ^{[1
]}

机构：

[1] CEA SACLAY,SERV PHYS ETAT CONDENSE,F-91191 GIF SUR YVETTE,FRANCE

来源：

EUROPHYSICS LETTERS | 1995年 / 32卷 / 05期

关键词：

D O I：

10.1209/0295-5075/32/5/001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using the supersymmetry method, we analytically calculate the local density of states, the localization length, the generalized inverse participation ratios, and the distribution function of eigenvector components for the superposition of a random band matrix with a strongly fluctuating diagonal matrix. In this way we extend previously known results for ordinary band matrices to the class of random band matrices with preferential basis. Our analytical results are in good agreement with (but more general than) recent numerical findings by Jacquod and Shepelyansky.

引用

页码：385 / 390

页数：6

共 21 条

[1] SCALING BEHAVIOR OF LOCALIZATION IN QUANTUM CHAOS [J].

CASATI, G ;

GUARNERI, I ;

IZRAILEV, F ;

SCHARF, R .

PHYSICAL REVIEW LETTERS, 1990, 64 (01) :5-8

[2] QUANTUM CHAOS - LOCALIZATION VS ERGODICITY [J].

CHIRIKOV, BV ;

IZRAILEV, FM ;

SHEPELYANSKY, DL .

PHYSICA D, 1988, 33 (1-3) :77-88

[3]

DOROKHOV ON, 1982, JETP LETT+, V36, P318

[4]

EFETOV KB, 1983, ZH EKSP TEOR FIZ+, V85, P764

[5] SUPERSYMMETRY AND THEORY OF DISORDERED METALS [J].

EFETOV, KB .

ADVANCES IN PHYSICS, 1983, 32 (01) :53-127

[6]

EFETOV KB, 1983, ZH EKSP TEOR FIZ, V58, P444

[7] SCALING IN INTERACTION-ASSISTED COHERENT TRANSPORT [J].

FRAHM, K ;

MULLERGROELING, A ;

PICHARD, JL ;

WEINMANN, D .

EUROPHYSICS LETTERS, 1995, 31 (03) :169-174

[8] LEVEL-TO-LEVEL FLUCTUATIONS OF THE INVERSE PARTICIPATION RATIO IN FINITE QUASI 1D DISORDERED-SYSTEMS [J].

FYODOROV, YV ;

MIRLIN, AD .

PHYSICAL REVIEW LETTERS, 1993, 71 (03) :412-415

[9] SCALING PROPERTIES OF LOCALIZATION IN RANDOM BAND MATRICES - A SIGMA-MODEL APPROACH [J].

FYODOROV, YV ;

MIRLIN, AD .

PHYSICAL REVIEW LETTERS, 1991, 67 (18) :2405-2409

[10] ANALYTICAL DERIVATION OF THE SCALING LAW FOR THE INVERSE PARTICIPATION RATIO IN QUASI-ONE-DIMENSIONAL DISORDERED-SYSTEMS [J].

FYODOROV, YV ;

MIRLIN, AD .

PHYSICAL REVIEW LETTERS, 1992, 69 (07) :1093-1096

← 1 2 3 →