Phonon Focusing and Temperature Dependences of the Thermal Conductivity of Silicon Nanowires

被引：11

作者：

Kuleyev, I. G. ^{[1
]}

Kuleyev, I. I. ^{[1
]}

Bakharev, S. M. ^{[1
]}

机构：

[1] Russian Acad Sci, Ural Branch, Inst Met Phys, Ekaterinburg 620041, Russia

来源：

JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS | 2014年 / 118卷 / 02期

关键词：

BOUNDARY SCATTERING REGIME; SINGLE-CRYSTALS; CUBIC-CRYSTALS; HEAT; ANISOTROPY; TRANSPORT; DIAMOND; GE;

D O I：

10.1134/S1063776114020022

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The influence of phonon focusing on the anisotropy and temperature dependences of the thermal conductivity of silicon nanowires (NWs) has been studied using the three-mode Callaway theory. The calculated temperature dependences of the thermal conductivity of silicon NWs with diameters above 50 nm agree well with experimental data in the 20-300 K range. The temperatures of transitions from the boundary-scattering to volume-relaxation mechanisms are determined. Variation of the thermal conductivity anisotropy depending on temperature is analyzed. The free paths of phonons with various polarizations in the boundary scattering regime in silicon NWs significantly differ and depend to a considerable degree on the phonon focusing. The free paths reach maxima in the directions of phonon focusing and exceed values for other oscillatory modes. However, in the isotropic medium model, the phonon free paths for various polarizations coincide and are fully determined by the geometric parameters of NWs.

引用

页码：253 / 265

页数：13

共 33 条

[1] THERMAL CONDUCTION IN ARTIFICIAL SAPPHIRE CRYSTALS AT LOW TEMPERATURES .1. NEARLY PERFECT CRYSTALS [J].

BERMAN, R ;

FOSTER, EL ;

ZIMAN, JM .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1955, 231 (1184) :130-144

[2]

Berman R., 1976, THERMAL CONDUCTION

[3] Nanoscale thermal transport [J].

Cahill, DG ;

Ford, WK ;

Goodson, KE ;

Mahan, GD ;

Majumdar, A ;

Maris, HJ ;

Merlin, R ;

Phillpot, SR .

JOURNAL OF APPLIED PHYSICS, 2003, 93 (02) :793-818

[4] MODEL FOR LATTICE THERMAL CONDUCTIVITY AT LOW TEMPERATURES [J].

CALLAWAY, J .

PHYSICAL REVIEW, 1959, 113 (04) :1046-1051

[5] Note on the conduction of heat in crystals [J].

Casimir, HBG .

PHYSICA, 1938, 5 :495-500

[6] Geometry and temperature dependent thermal conductivity of diamond nanowires: A non-equilibrium molecular dynamics study [J].

Guo, Jing ;

Wen, Bin ;

Melnik, Roderick ;

Yao, Shan ;

Li, Tingju .

PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2010, 43 (01) :155-160

[7]

Gurevich V. L., 1988, TRANSPORT PHONON SYS

[8] ROLE OF LOW-ENERGY PHONONS IN THERMAL CONDUCTION [J].

HERRING, C .

PHYSICAL REVIEW, 1954, 95 (04) :954-965

[9] THERMAL CONDUCTIVITY OF INSULATING CRYSTALS IN PRESENCE OF NORMAL PROCESSES [J].

KRUMHANS.JA .

PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON, 1965, 85 (547P) :921-&

[10] Anisotropic attenuation of transverse ultrasound in cubic crystals of Ge, Si, and diamond with various isotopic compositions [J].

Kuleev, I. G. ;

Kuleev, I. I. .

PHYSICS OF THE SOLID STATE, 2007, 49 (09) :1643-1651

← 1 2 3 4 →