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

页数：9

共 29 条

[1] SCALING THEORY OF LOCALIZATION - ABSENCE OF QUANTUM DIFFUSION IN 2 DIMENSIONS [J].

ABRAHAMS, E ;

ANDERSON, PW ;

LICCIARDELLO, DC ;

RAMAKRISHNAN, TV .

PHYSICAL REVIEW LETTERS, 1979, 42 (10) :673-676

[2]

Akkermans E., 2007, MESOSCOPIC PHYS ELEC

[3] ABSENCE OF DIFFUSION IN CERTAIN RANDOM LATTICES [J].

ANDERSON, PW .

PHYSICAL REVIEW, 1958, 109 (05) :1492-1505

[4]

[Anonymous], UNPUB

[5] PROPAGATION OF WAVES THROUGH A SLAB NEAR THE ANDERSON TRANSITION - A LOCAL SCALING APPROACH [J].

BERKOVITS, R ;

KAVEH, M .

JOURNAL OF PHYSICS-CONDENSED MATTER, 1990, 2 (02) :307-321

[6] BACKSCATTERING OF LIGHT NEAR THE OPTICAL ANDERSON TRANSITION [J].

BERKOVITS, R ;

KAVEH, M .

PHYSICAL REVIEW B, 1987, 36 (17) :9322-9325

[7] CORRELATIONS IN COHERENT MULTIPLE-SCATTERING [J].

BERKOVITS, R ;

FENG, SC .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1994, 238 (03) :135-172

[8]

CHERRORET N, ARXIV07092619

[9] Suppression of transport of an interacting elongated Bose-Einstein condensate in a random potential -: art. no. 170409 [J].

Clément, D ;

Varón, AF ;

Hugbart, M ;

Retter, JA ;

Bouyer, P ;

Sanchez-Palencia, L ;

Gangardt, DM ;

Shlyapnikov, GV ;

Aspect, A .

PHYSICAL REVIEW LETTERS, 2005, 95 (17)

[10]

GORKOV LP, 1979, JETP LETT+, V30, P228

← 1 2 3 →