Effect of phonon-phonon interactions on localization

被引：75

作者：

Dhar, Abhishek ^{[1
]}

Lebowitz, J. L. ^{[2
]}

机构：

[1] Raman Res Inst, Bangalore 560080, Karnataka, India

[2] Rutgers State Univ, Dept Math & Phys, Piscataway, NJ 08854 USA

来源：

PHYSICAL REVIEW LETTERS | 2008年 / 100卷 / 13期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevLett.100.134301

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the heat current J in a classical one-dimensional disordered chain with on-site pinning and with ends connected to stochastic thermal reservoirs at different temperatures. In the absence of anharmonicity all modes are localized and there is a gap in the spectrum. Consequently J decays exponentially with system size N. Using simulations we find that even a small amount of anharmonicity leads to a J similar to 1/N dependence, implying diffusive transport of energy.

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页数：4

相关论文

共 59 条

[1]

Allen MP, 1987, COMPUTER SIMULATIONS, DOI DOI 10.2307/2938686

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

ANDERSON, PW .

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

[3] Heat transport in mesoscopic systems [J].

Angelescu, DE ;

Cross, MC ;

Roukes, ML .

SUPERLATTICES AND MICROSTRUCTURES, 1998, 23 (3-4) :673-689

[4] Bulk properties of anharmonic chains in strong thermal gradients:: non-equilibrium φ4 theory [J].

Aoki, K ;

Kusnezov, D .

PHYSICS LETTERS A, 2000, 265 (04) :250-256

[5] Energy transport in weakly anharmonic chains [J].

Aoki, Kenichiro ;

Lukkarinen, Jani ;

Spohn, Herbert .

JOURNAL OF STATISTICAL PHYSICS, 2006, 124 (05) :1105-1129

[6] Momentum conserving model with anomalous thermal conductivity in low dimensional systems [J].

Basile, Giada ;

Bernardin, Cedric ;

Olla, Stefano .

PHYSICAL REVIEW LETTERS, 2006, 96 (20)

[7] Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states [J].

Basko, DM ;

Aleiner, IL ;

Altshuler, BL .

ANNALS OF PHYSICS, 2006, 321 (05) :1126-1205

[8]

BONETTO F, IN PRESS

[9] NATURE OF ELECTRONIC STATES IN DISORDERED 1-DIMENSIONAL SYSTEMS [J].

BORLAND, RE .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1963, 274 (1356) :529-+

[10] ENERGY-TRANSPORT IN ONE-DIMENSIONAL AND 2-DIMENSIONAL ANHARMONIC LATTICES WITH ISOTOPIC DISORDER [J].

BOURBONNAIS, R ;

MAYNARD, R .

PHYSICAL REVIEW LETTERS, 1990, 64 (12) :1397-1400

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