Statistics of resonances in a one-dimensional chain: a weak disorder limit

被引：1
|
作者：
Vinayak [1 ,2 ]
机构：
[1] Univ Nacl Autonoma Mexico, Inst Ciencias Fis, Cuernavaca 62191, Morelos, Mexico
[2] Technion Israel Inst Technol, Dept Phys, IL-32000 Haifa, Israel
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2012年 / 45卷 / 23期
关键词：
LOCALIZATION; SYSTEMS;
D O I：
10.1088/1751-8113/45/23/235302
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study statistics of resonances in a one-dimensional disordered chain coupled to an outer world simulated by a perfect lead. We consider a limiting case for weak disorder and derive some results which are new in these studies. The main focus of this study is to describe the statistics of the scattered complex energies. We derive compact analytic statistical results for long chains. A comparison of these results has been found to be in good agreement with numerical simulations.
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页数：17
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