PERIODIC BAND RANDOM MATRICES, CURVATURE, AND CONDUCTANCE IN DISORDERED MEDIA

被引：41

作者：

CASATI, G

GUARNERI, I

IZRAILEV, FM

MOLINARI, L

ZYCZKOWSKI, K

机构：

[1] BUDKER NUCL PHYS INST, NOVOSIBIRSK 630090, RUSSIA

[2] UNIV MILAN, DIPARTIMENTO FIS, I-20133 MILAN, ITALY

[3] JAGIELLONIAN UNIV, INST PHYS, PL-30059 KRAKOW, POLAND

来源：

PHYSICAL REVIEW LETTERS | 1994年 / 72卷 / 17期

关键词：

D O I：

10.1103/PhysRevLett.72.2697

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Changes in the boundary conditions enforce variations of the eigenvalues of periodic band random matrices. We investigate the statistics of the corresponding curvatures and discuss connections with conductance fluctuations. In particular we show with numerical data that mean curvatures obey a scaling law quite similar to the one expected for mean conductance, and that a distribution law predicted for curvatures of Gaussian orthogonal ensemble matrices also holds for band matrices in the metallic regime.

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页码：2697 / 2700

页数：4

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共 29 条

[1] CONDUCTANCE AND STATISTICAL PROPERTIES OF METALLIC SPECTRA [J].

AKKERMANS, E ;

MONTAMBAUX, G .

PHYSICAL REVIEW LETTERS, 1992, 68 (05) :642-645

[2] BAND-RANDOM-MATRIX MODEL FOR QUANTUM LOCALIZATION IN CONSERVATIVE-SYSTEMS [J].

CASATI, G ;

CHIRIKOV, BV ;

GUARNERI, I ;

IZRAILEV, FM .

PHYSICAL REVIEW E, 1993, 48 (03) :R1613-R1616

[3] SCALING PROPERTIES OF THE EIGENVALUE SPACING DISTRIBUTION FOR BAND RANDOM MATRICES [J].

CASATI, G ;

IZRAILEV, F ;

MOLINARI, L .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (20) :4755-4762

[4] SCALING PROPERTIES OF BAND RANDOM MATRICES [J].

CASATI, G ;

MOLINARI, L ;

IZRAILEV, F .

PHYSICAL REVIEW LETTERS, 1990, 64 (16) :1851-1854

[5] AN EXAMPLE OF CHAOTIC EIGENSTATES IN A COMPLEX ATOM [J].

CHIRIKOV, BV .

PHYSICS LETTERS A, 1985, 108 (02) :68-70

[6] EIGENVECTOR STATISTICS AND MULTIFRACTAL SCALING OF BAND RANDOM MATRICES [J].

EVANGELOU, SN ;

ECONOMOU, EN .

PHYSICS LETTERS A, 1990, 151 (6-7) :345-348

[7] 2-PARAMETER SCALING IN THE WIGNER ENSEMBLE [J].

FEINGOLD, M ;

GIOLETTA, A ;

IZRAILEV, FM ;

MOLINARI, L .

PHYSICAL REVIEW LETTERS, 1993, 70 (19) :2936-2939

[8] SEMICLASSICAL STRUCTURE OF HAMILTONIANS [J].

FEINGOLD, M ;

LEITNER, DM ;

PIRO, O .

PHYSICAL REVIEW A, 1989, 39 (12) :6507-6514

[9] 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

[10] 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