Scattering at the Anderson transition:: Power-law banded random matrix model

被引：18
|
作者：
Mendez-Bermudez, J. A.
Varga, I.
机构：
[1] Max Planck Inst Dynam & Selbstorg, D-37073 Gottingen, Germany
[2] Ben Gurion Univ Negev, Dept Phys, IL-84105 Beer Sheva, Israel
[3] Univ Autonoma Puebla, Inst Fis, Puebla 72570, Mexico
[4] Budapesti Muszaki & Gazdasagtudomanyi Egyetem, Fizikai Intezet, Elmeleti Fizika Tanszek, H-1521 Budapest, Hungary
[5] Univ Marburg, Fachbereich Phys, D-35032 Marburg, Germany
[6] Univ Marburg, Wissensch Liches Zentrum Mat Wissensch, D-35032 Marburg, Germany
来源：
PHYSICAL REVIEW B | 2006年 / 74卷 / 12期
关键词：
D O I：
10.1103/PhysRevB.74.125114
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We analyze the scattering properties of a periodic one-dimensional system at criticality represented by the so-called power-law banded random matrix model at the metal-insulator transition. We focus on the scaling of Wigner delay times tau and resonance widths Gamma. We find that the typical values of tau and Gamma (calculated as the geometric mean) scale with the system size L as tau(typ)proportional to L-D1 and Gamma(typ)proportional to L-(2-D2), where D-1 is the information dimension and D-2 is the correlation dimension of eigenfunctions of the corresponding closed system.
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页数：6
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