Wigner random banded matrices with sparse structure: Local spectral density of states

被引：92
|
作者：
Fyodorov, YV
Chubykalo, OA
Izrailev, FM
Casati, G
机构：
[1] PETERSBURG NUCL PHYS INST, GATCHINA 188350, RUSSIA
[2] UNIV BASQUE COUNTRY, FAC QUIM, DEPT FIS MAT, E-20080 SAN SEBASTIAN, SPAIN
[3] BUDKER INST NUCL PHYS, NOVOSIBIRSK 630090, RUSSIA
[4] UNIV MILAN, I-22100 COMO, ITALY
来源：
PHYSICAL REVIEW LETTERS | 1996年 / 76卷 / 10期
关键词：
D O I：
10.1103/PhysRevLett.76.1603
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Random banded matrices with linearly increasing diagonal elements are recently considered as an attractive model for complex nuclei and atoms. Apart from early papers by Wigner there were no analytical studies on the subject. Ln this Letter we present analytical and numerical results for local spectral density of states (LDOS) for a more general case of matrices with a sparsity inside the band. The crossover from the semicircle form of LDOS to that given by the Breit-Wigner formula is studied in detail.
引用
收藏
页码：1603 / 1606
页数：4
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