PERIODIC BAND RANDOM MATRICES, CURVATURE, AND CONDUCTANCE IN DISORDERED MEDIA

被引:40
|
作者
CASATI, G
GUARNERI, I
IZRAILEV, FM
MOLINARI, L
ZYCZKOWSKI, K
机构
[1] BUDKER NUCL PHYS INST, NOVOSIBIRSK 630090, RUSSIA
[2] UNIV MILAN, DIPARTIMENTO FIS, I-20133 MILAN, ITALY
[3] JAGIELLONIAN UNIV, INST PHYS, PL-30059 KRAKOW, POLAND
关键词
D O I
10.1103/PhysRevLett.72.2697
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Changes in the boundary conditions enforce variations of the eigenvalues of periodic band random matrices. We investigate the statistics of the corresponding curvatures and discuss connections with conductance fluctuations. In particular we show with numerical data that mean curvatures obey a scaling law quite similar to the one expected for mean conductance, and that a distribution law predicted for curvatures of Gaussian orthogonal ensemble matrices also holds for band matrices in the metallic regime.
引用
收藏
页码:2697 / 2700
页数:4
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