Broken time-reversal symmetry scattering at the Anderson transition

被引：6

作者：

Alcazar-Lopez, A. ^{[1
]}

Mendez-Bermudez, J. A. ^{[1
]}

Varga, Imre ^{[2
,3
,4
]}

机构：

[1] Univ Autonoma Puebla, Inst Fis, Puebla 72570, Mexico

[2] Budapesti Muszaki & Gazdasagtud Egyet, Fizikai Intezet, H-1521 Budapest, Hungary

[3] Univ Marburg, Fachbereich Phys, D-35032 Marburg, Germany

[4] Univ Marburg, Wissensch Zentrum Mat Wissensch, D-35032 Marburg, Germany

来源：

ANNALEN DER PHYSIK | 2009年 / 18卷 / 12期

关键词：

Metal-insulator transition; Anderson model; electronic transport; random matrix theory; CONDUCTANCE DISTRIBUTION; MOBILITY EDGE; UNIVERSALITY;

D O I：

10.1002/andp.200910375

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study numerically the statistical properties of some scattering quantities for the Power-law Banded Random Matrix model at criticality in the absence of time-reversal symmetry, with a small number of single-channel leads attached to it. We focus on the average scattering matrix elements, the conductance probability distribution, and the shot noise power as a function of the effective bandwidth b of the model. We find a smooth transition from insulating- to metallic-like behavior in the scattering properties of the model by increasing b. We contrast our results with existing random matrix theory predictions. (C) 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：896 / 900

页数：5

共 21 条

[1] Semiclassical prediction for shot noise in chaotic cavities
Braun, P
Heusler, S
Müller, S
Haake, F
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (11): : L159 - L165
[2] Fluctuations of the correlation dimension at metal-insulator transitions -: art. no. 016401
Cuevas, E
Ortuño, M
Gasparian, V
Pérez-Garrido, A
[J]. PHYSICAL REVIEW LETTERS, 2002, 88 (01) : 4 - 164014
[3] Anderson transitions
Evers, Ferdinand
Mirlin, Alexander D.
[J]. REVIEWS OF MODERN PHYSICS, 2008, 80 (04) : 1355 - 1417
[4] Semiclassical theory of chaotic conductors - art. no. 066804
Heusler, S
Müller, S
Braun, P
Haake, F
[J]. PHYSICAL REVIEW LETTERS, 2006, 96 (06)
[5] Energy level dynamics in systems with weakly multifractal eigenstates: Equivalence to one-dimensional correlated fermions at low temperatures
Kravtsov, VE
Tsvelik, AM
[J]. PHYSICAL REVIEW B, 2000, 62 (15): : 9888 - 9891
[6] Mahaux C., 1969, Shell Model Approach in Nuclear Reactions
[7] Probability distribution of the conductance at the mobility edge
Markos, P
[J]. PHYSICAL REVIEW LETTERS, 1999, 83 (03) : 588 - 591
[8] THE UNIVERSALITY OF THE CONDUCTANCE DISTRIBUTION AT THE CRITICAL-POINT OF THE DISORDER-INDUCED METAL-INSULATOR-TRANSITION
MARKOS, P
[J]. EUROPHYSICS LETTERS, 1994, 26 (06): : 431 - 435
[9] Mello P. A., 2004, QUANTUM TRANSPORT ME
[10] Probing the eigenfunction fractality using Wigner delay times -: art. no. 064108
Méndez-Bermúdez, JA
Kottos, T
[J]. PHYSICAL REVIEW B, 2005, 72 (06)

← 1 2 3 →