UNIVERSAL PARAMETRIC CORRELATIONS AT THE SOFT EDGE OF THE SPECTRUM OF RANDOM-MATRIX ENSEMBLES

被引：28
作者：
MACEDO, AMS
机构：
[1] Theoretical Physics, University of Oxford, Oxford, OX1 3NP
来源：
EUROPHYSICS LETTERS | 1994年 / 26卷 / 09期
关键词：
D O I：
10.1209/0295-5075/26/9/001
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We extend a recent theory of parametric correlations in the spectrum of random matrices to study the response to an external perturbation of eigenvalues near the soft edge of the support. We demonstrate by explicit non-perturbative calculation that, for systems with unitary symmetry, the two-point function for level density fluctuations becomes, after appropriate rescaling, a universal expression.
引用
收藏
页码：641 / 646
页数：6
相关论文
共 33 条
[1]   RANDOM-MATRIX THEORY OF PARAMETRIC CORRELATIONS IN THE SPECTRA OF DISORDERED METALS AND CHAOTIC BILLIARDS [J].
BEENAKKER, CWJ ;
REJAEI, B .
PHYSICA A, 1994, 203 (01) :61-90
[2]   BROWNIAN-MOTION MODEL FOR PARAMETRIC CORRELATIONS IN THE SPECTRA OF DISORDERED METALS [J].
BEENAKKER, CWJ .
PHYSICAL REVIEW LETTERS, 1993, 70 (26) :4126-4129
[3]   UNIVERSAL SCALING OF THE TAIL OF THE DENSITY OF EIGENVALUES IN RANDOM MATRIX MODELS [J].
BOWICK, MJ ;
BREZIN, E .
PHYSICS LETTERS B, 1991, 268 (01) :21-28
[4]   RENORMALIZATION-GROUP APPROACH TO MATRIX MODELS [J].
BREZIN, E ;
ZINNJUSTIN, J .
PHYSICS LETTERS B, 1992, 288 (1-2) :54-58
[5]   PLANAR DIAGRAMS [J].
BREZIN, E ;
ITZYKSON, C ;
PARISI, G ;
ZUBER, JB .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1978, 59 (01) :35-51
[6]   STRINGS IN LESS THAN ONE DIMENSION [J].
DOUGLAS, MR ;
SHENKER, SH .
NUCLEAR PHYSICS B, 1990, 335 (03) :635-654
[7]   CLASS OF MATRIX ENSEMBLES [J].
DYSON, FJ .
JOURNAL OF MATHEMATICAL PHYSICS, 1972, 13 (01) :90-&
[8]  
DYSON FJ, 1962, J MATH PHYS, V3, P140, DOI 10.1063/1.1703773
[9]   SUPERSYMMETRY AND THEORY OF DISORDERED METALS [J].
EFETOV, KB .
ADVANCES IN PHYSICS, 1983, 32 (01) :53-127
[10]   THE SPECTRUM EDGE OF RANDOM-MATRIX ENSEMBLES [J].
FORRESTER, PJ .
NUCLEAR PHYSICS B, 1993, 402 (03) :709-728
1234