Thermal conductivity and Lorenz number for one-dimensional ballistic transport

被引:58
作者
Greiner, A
Reggiani, L
Kuhn, T
Varani, L
机构
[1] UNIV MUNSTER, INST THEORET PHYS 2, D-48149 MUNSTER, GERMANY
[2] UNIV MONTPELLIER 2, CNRS UMR 5507, CTR ELECT & MICROOPTOELECT MONTPELLIER, F-34095 MONTPELLIER 5, FRANCE
关键词
D O I
10.1103/PhysRevLett.78.1114
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the thermal conductivity and Lorenz number of charge carriers for one-dimensional ballistic transport within the correlation function formalism. The carrier transit time between two ideal contacts is found to substitute for the collision time in the definition of a ballistic thermal conductivity. A universal thermal conductance K = 2 pi(2)k(B)(2)T/3h is naturally obtained for the degenerate case. Dispersion curves for the thermal conductivity and the Lorenz number associated with different time scales belonging to the microscopic system are given for the first time.
引用
收藏
页码:1114 / 1117
页数:4
相关论文
共 13 条
[1]  
BEENAKKER CWJ, 1991, SOLID STATE PHYS, V44, P1
[2]   THERMAL-CONDUCTIVITY IN DISORDERED INTERACTING-ELECTRON SYSTEMS [J].
CASTELLANI, C ;
DICASTRO, C ;
KOTLIAR, G ;
LEE, PA ;
STRINATI, G .
PHYSICAL REVIEW LETTERS, 1987, 59 (04) :477-480
[3]   OBSERVATION OF UNIVERSAL THERMOPOWER FLUCTUATIONS [J].
GALLAGHER, BL ;
GALLOWAY, T ;
BETON, P ;
OXLEY, JP ;
BEAUMONT, SP ;
THOMS, S ;
WILKINSON, CDW .
PHYSICAL REVIEW LETTERS, 1990, 64 (17) :2058-2061
[4]   Generalization of thermal conductivity and Lorenz number to hot-carrier conditions in nondegenerate semiconductors [J].
Golinelli, P ;
Varani, L ;
Reggiani, L .
PHYSICAL REVIEW LETTERS, 1996, 77 (06) :1115-1118
[5]   Thermal transport in a Luttinger liquid [J].
Kane, CL ;
Fisher, MPA .
PHYSICAL REVIEW LETTERS, 1996, 76 (17) :3192-3195
[6]  
KUBO R, 1991, STATISTICAL PHYS II
[7]   CORRELATION-FUNCTIONS AND QUANTIZED NOISE IN MESOSCOPIC SYSTEMS [J].
KUHN, T ;
REGGIANI, L ;
VARANI, L .
SUPERLATTICES AND MICROSTRUCTURES, 1992, 11 (02) :205-209
[8]   NOISE AND CONDUCTANCE IN ONE-DIMENSIONAL SYSTEMS [J].
KUHN, T ;
REGGIANI, L .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA D-CONDENSED MATTER ATOMIC MOLECULAR AND CHEMICAL PHYSICS FLUIDS PLASMAS BIOPHYSICS, 1992, 14 (05) :509-515
[9]   CAN THE VELOCITY AUTO-CORRELATION FUNCTION DECAY EXPONENTIALLY [J].
LEE, MH .
PHYSICAL REVIEW LETTERS, 1983, 51 (14) :1227-1230
[10]   PELTIER COEFFICIENT AND THERMAL CONDUCTANCE OF A QUANTUM POINT CONTACT [J].
MOLENKAMP, LW ;
GRAVIER, T ;
VANHOUTEN, H ;
BUIJK, OJA ;
MABESOONE, MAA ;
FOXON, CT .
PHYSICAL REVIEW LETTERS, 1992, 68 (25) :3765-3768