Observation of Multifractality in Anderson Localization of Ultrasound

被引：109

作者：

Faez, Sanli ^{[1
]}

Strybulevych, Anatoliy ^{[2
]}

Page, John H. ^{[2
]}

Lagendijk, Ad ^{[1
]}

van Tiggelen, Bart A. ^{[3
]}

机构：

[1] FOM, Inst Atom & Mol Phys, AMOLF, NL-1098 SJ Amsterdam, Netherlands

[2] Univ Manitoba, Dept Phys & Astron, Winnipeg, MB R3T 2N2, Canada

[3] Univ Grenoble 1, Lab Phys & Modelisat Milieux Condenses, CNRS, F-38042 Grenoble, France

来源：

PHYSICAL REVIEW LETTERS | 2009年 / 103卷 / 15期

基金：

加拿大自然科学与工程研究理事会;

关键词：

DISORDERED-SYSTEMS; FIELD-THEORY; STATES;

D O I：

10.1103/PhysRevLett.103.155703

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We report the experimental observation of strong multifractality in wave functions below the Anderson localization transition in open three-dimensional elastic networks. Our results confirm the recently predicted symmetry of the multifractal exponents. We have discovered that the result of multifractal analysis of real data depends on the excitation scheme used in the experiment.

引用

页数：4

共 23 条

[1]

Al'tshuler B. L., 1986, Soviet Physics - JETP, V64, P1352

[2] CRITICAL-BEHAVIOR OF EXTENDED STATES IN DISORDERED-SYSTEMS [J].

AOKI, H .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1983, 16 (06) :L205-L208

[3] MULTIFRACTAL WAVE-FUNCTION AT THE LOCALIZATION THRESHOLD [J].

CASTELLANI, C ;

PELITI, L .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (08) :L429-L432

[4] Experimental Observation of the Anderson Metal-Insulator Transition with Atomic Matter Waves [J].

Chabe, Julien ;

Lemarie, Gabriel ;

Gremaud, Benoit ;

Delande, Dominique ;

Szriftgiser, Pascal ;

Garreau, Jean Claude .

PHYSICAL REVIEW LETTERS, 2008, 101 (25)

[5] DIRECT DETERMINATION OF THE F(ALPHA) SINGULARITY SPECTRUM [J].

CHHABRA, A ;

JENSEN, RV .

PHYSICAL REVIEW LETTERS, 1989, 62 (12) :1327-1330

[6] Two-eigenfunction correlation in a multifractal metal and insulator [J].

Cuevas, E. ;

Kravtsov, V. E. .

PHYSICAL REVIEW B, 2007, 76 (23)

[7] Critical behavior of the two-dimensional Anderson model with long-range correlated disorder [J].

dos Santos, I. F. ;

de Moura, F. A. B. F. ;

Lyra, M. L. ;

Coutinho-Filho, M. D. .

JOURNAL OF PHYSICS-CONDENSED MATTER, 2007, 19 (47)

[8] MULTIFRACTALS, OPERATOR PRODUCT EXPANSION, AND FIELD-THEORY [J].

DUPLANTIER, B ;

LUDWIG, AWW .

PHYSICAL REVIEW LETTERS, 1991, 66 (03) :247-251

[9] Anderson transitions [J].

Evers, Ferdinand ;

Mirlin, Alexander D. .

REVIEWS OF MODERN PHYSICS, 2008, 80 (04) :1355-1417

[10] Statistics of prelocalized states in disordered conductors [J].

Falko, VI ;

Efetov, KB .

PHYSICAL REVIEW B, 1995, 52 (24) :17413-17429

← 1 2 3 →