Microscopic derivation of self-consistent equations of Anderson localization in a disordered medium of finite size

被引:30
作者
Cherroret, N. [1 ,2 ]
Skipetrov, S. E. [1 ,2 ]
机构
[1] Univ Grenoble 1, Lab Phys Modelisat Milieux Condenses, F-38042 Grenoble 09, France
[2] Univ Grenoble 1, CNRS, UMR 5493, F-38042 Grenoble 09, France
来源
PHYSICAL REVIEW E | 2008年 / 77卷 / 04期
关键词
D O I
10.1103/PhysRevE.77.046608
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We present a microscopic derivation of self-consistent equations of Anderson localization in a disordered medium of finite size. The derivation leads to a renormalized, position-dependent diffusion coefficient. The position dependence of the latter is due to the position dependence of return probability in a bounded medium.
引用
收藏
页数:9
相关论文
共 50 条
[41]   Renormalized perturbation theories of Anderson localization: Self-consistent two-particle vertices [J].
Janis, Vaclav ;
Pokorny, Vladislav .
ANNALEN DER PHYSIK, 2011, 523 (8-9) :715-723
[42]   Self-Consistent Theory of Anderson Localization in Two Dimensions in View of Exact Transport Equation [J].
Yamane, Yoko ;
Itoh, Masaki .
PROGRESS OF THEORETICAL PHYSICS, 2012, 128 (04) :795-804
[43]   Self-consistent solution of Galitskii-Feynman equations at finite temperature [J].
Bozek, P .
PHYSICAL REVIEW C, 1999, 59 (05) :2619-2626
[44]   SELF-CONSISTENT CLUSTER THEORY OF DISORDERED ALLOYS [J].
ERICKSON, DJ ;
ROBERTS, LD .
BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1972, 17 (02) :195-&
[45]   SELF-CONSISTENT CLUSTER THEORY OF DISORDERED ALLOYS [J].
BUTLER, WH .
PHYSICAL REVIEW B, 1973, 8 (10) :4499-4510
[46]   SELF-CONSISTENT CLUSTER THEORY OF DISORDERED ALLOYS [J].
BUTLER, WH .
PHYSICS LETTERS A, 1972, A 39 (03) :203-&
[47]   SELF-CONSISTENT THEORY OF CLUSTERS IN DISORDERED ALLOYS [J].
CYROTLACKMANN, F ;
DUCASTELLE, F .
PHYSICAL REVIEW LETTERS, 1971, 27 (07) :429-+
[48]   SELF-CONSISTENT CLUSTER THEORIES OF DISORDERED ALLOYS [J].
BUTLER, WH .
BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1973, 18 (03) :415-415
[49]   DISORDERED HARMONIC CHAIN WITH SELF-CONSISTENT RESERVOIRS [J].
RICH, M ;
VISSCHER, WM .
PHYSICAL REVIEW B, 1975, 11 (06) :2164-2170
[50]   Equation of state of lipid membrane: self-consistent analytical derivation from microscopic model. [J].
Baoukina, SV ;
Mukhin, SI .
BIOPHYSICAL JOURNAL, 2005, 88 (01) :247A-247A