NONUNIVERSALITY IN RANDOM-MATRIX ENSEMBLES WITH SOFT LEVEL CONFINEMENT

被引:16
作者
CANALI, CM
WALLIN, M
KRAVTSOV, VE
机构
[1] ROYAL INST TECHNOL,DEPT THEORET PHYS,S-10044 STOCKHOLM,SWEDEN
[2] RUSSIAN ACAD SCI,INST SPECT,TROITSK 142092,RUSSIA
来源
PHYSICAL REVIEW B | 1995年 / 51卷 / 05期
关键词
D O I
10.1103/PhysRevB.51.2831
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Two families of strongly non-Gaussian random-matrix ensembles (RMEs) are considered. They are statistically equivalent to a one-dimensional plasma of particles interacting logarithmically and confined by the potential that has the long-range behavior V() (0<<1), or V()ln2. The direct Monte Carlo simulations on the effective plasma model show that the spacing distribution function (SDF) in such RME can deviate from that of the classical Gaussian ensembles. For power-law potentials, this deviation is seen only near the origin 0, while for the double-logarithmic potential the SDF shows the crossover from the Wigner-Dyson to Poisson behavior in the bulk of the spectrum. © 1995 The American Physical Society.
引用
收藏
页码:2831 / 2834
页数:4
相关论文
共 16 条
[1]   UNIVERSALITY IN THE RANDOM-MATRIX THEORY OF QUANTUM TRANSPORT [J].
BEENAKKER, CWJ .
PHYSICAL REVIEW LETTERS, 1993, 70 (08) :1155-1158
[2]   UNIVERSALITY OF THE CORRELATIONS BETWEEN EIGENVALUES OF LARGE RANDOM MATRICES [J].
BREZIN, E ;
ZEE, A .
NUCLEAR PHYSICS B, 1993, 402 (03) :613-627
[3]  
CANALI C, UNPUB
[4]   DISTRIBUTION OF LINEAR STATISTICS IN RANDOM-MATRIX MODELS [J].
CHEN, Y ;
MANNING, SM .
JOURNAL OF PHYSICS-CONDENSED MATTER, 1994, 6 (16) :3039-3044
[5]  
CHEN Y, 1994, J PHYS CONDENS MATT, V4, pL563
[6]   SUPERSYMMETRY AND THEORY OF DISORDERED METALS [J].
EFETOV, KB .
ADVANCES IN PHYSICS, 1983, 32 (01) :53-127
[7]   LEVEL-SPACING FUNCTION P(S) AT THE MOBILITY EDGE [J].
EVANGELOU, SN .
PHYSICAL REVIEW B, 1994, 49 (23) :16805-16808
[8]   STATISTICAL PROPERTIES OF THE EIGENVALUE SPECTRUM OF THE 3-DIMENSIONAL ANDERSON HAMILTONIAN [J].
HOFSTETTER, E ;
SCHREIBER, M .
PHYSICAL REVIEW B, 1993, 48 (23) :16979-16985
[9]   UNIVERSAL SPECTRAL CORRELATIONS AT THE MOBILITY EDGE [J].
KRAVTSOV, VE ;
LERNER, IV ;
ALTSHULER, BL ;
ARONOV, AG .
PHYSICAL REVIEW LETTERS, 1994, 72 (06) :888-891
[10]   DISORDERED ELECTRONIC SYSTEMS [J].
LEE, PA ;
RAMAKRISHNAN, TV .
REVIEWS OF MODERN PHYSICS, 1985, 57 (02) :287-337