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

Authors
CASATI G GUARNERI I IZRAILEV FM MOLINARI L ZYCZKOWSKI K
Citation
G. Casati et al., PERIODIC BAND RANDOM MATRICES, CURVATURE, AND CONDUCTANCE IN DISORDERED MEDIA, Physical review letters, 72(17), 1994, pp. 2697-2700
Citations number
31
Categorie Soggetti
Physics
Journal title
Physical review letters → ACNP
ISSN journal
00319007
Volume
72
Issue
17
Year of publication
1994
Pages
2697 - 2700
Database
ISI
SICI code
0031-9007(1994)72:17<2697:PBRMCA>2.0.ZU;2-N
Abstract
Changes in the boundary conditions enforce variations of the eigenvalu es 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 curv atures obey a scaling law quite similar to the one expected for mean c onductance, and that a distribution law predicted for curvatures of Ga ussian orthogonal ensemble matrices also holds for band matrices in th e metallic regime.