NEW RANDOM MATRIX-THEORY OF SCATTERING IN MESOSCOPIC SYSTEMS

被引：75

作者：

SLEVIN, K ^{[1
]}

NAGAO, T ^{[1
]}

机构：

[1] UNIV TOKYO,FAC SCI,DEPT PHYS,BUNKYO KU,TOKYO 113,JAPAN

来源：

PHYSICAL REVIEW LETTERS | 1993年 / 70卷 / 05期

关键词：

D O I：

10.1103/PhysRevLett.70.635

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A previously unnoticed group structure for the transfer matrices of mesoscopic systems is identified. From the invariant measure for this group and a maximum entropy ansatz we derive the Laguerre ensemble of random matrices. A comparison with the Hofstadter model shows that the Laguerre ensemble provides a quantitative description of scattering in mesoscopic systems under applied magnetic fields.

引用

页码：635 / 638

页数：4

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