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
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.
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页码:635 / 638
页数:4
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