UNIVERSAL CORRELATIONS IN RANDOM MATRICES AND ONE-DIMENSIONAL PARTICLES WITH LONG-RANGE INTERACTIONS IN A CONFINEMENT POTENTIAL

被引：7

作者：

MORITA, Y

HATSUGAI, Y

KOHMOTO, M

机构：

[1] Institute for Solid State Physics, University of Tokyo, Minato-ku, Tokyo 106

来源：

PHYSICAL REVIEW B | 1995年 / 52卷 / 07期

关键词：

D O I：

10.1103/PhysRevB.52.4716

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study the correlations between eigenvalues of the large random matrices by a renormalization group approach. The results strongly support the universality of the correlations proposed by Brezin and Zee. Then we apply the results to the ground state of the one-dimensional particles with long-range interactions in a confinement potential. We obtain the exact ground state. We also show the existence of a transition similar to a phase separation. Before and after the transition, we obtain the density-density correlation explicitly. The correlation shows nontrivial universal behavior.

引用

页码：4716 / 4719

页数：4

共 16 条

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