Transport properties of quasi-free fermions

被引:55
作者
Aschbacher, W. [1 ]
Jaksic, V.
Pautrat, Y.
Pillet, C. -A.
机构
[1] Tech Univ Munich, Zentrum Math M5, D-85747 Garching, Germany
[2] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada
[3] Univ Paris 11, Math Lab, F-91405 Orsay, France
[4] Univ Sud Toulon Var, CNRS, CPT, F-83957 La Garde, France
基金
加拿大自然科学与工程研究理事会;
关键词
D O I
10.1063/1.2709849
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Using the scattering approach to the construction of nonequilibrium steady states proposed by Ruelle [J. Stat. Phys. 98, 57-75 (2000)], we study the transport properties of systems of independent electrons. We show that Landauer-Buttiker and Green-Kubo formulas hold under very general conditions.
引用
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页数:28
相关论文
共 38 条
[1]  
[Anonymous], LECT NOTES PHYS
[2]  
[Anonymous], P STEKLOV I MATH
[3]  
[Anonymous], LECT NOTES MATH
[4]   Non-equilibrium steady states of the XY chain [J].
Aschbacher, WH ;
Pillet, CA .
JOURNAL OF STATISTICAL PHYSICS, 2003, 112 (5-6) :1153-1175
[5]   Adiabatic charge pumping in open quantum systems [J].
Avron, JE ;
Elgart, A ;
Graf, GM ;
Sadun, L ;
Schnee, K .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2004, 57 (04) :528-561
[6]  
BENSAAD R, UNPUB
[7]  
Bratteli O., 1996, OPERATOR ALGEBRAS QU, VII
[8]   GENERALIZED MANY-CHANNEL CONDUCTANCE FORMULA WITH APPLICATION TO SMALL RINGS [J].
BUTTIKER, M ;
IMRY, Y ;
LANDAUER, R ;
PINHAS, S .
PHYSICAL REVIEW B, 1985, 31 (10) :6207-6215
[9]   4-TERMINAL PHASE-COHERENT CONDUCTANCE [J].
BUTTIKER, M .
PHYSICAL REVIEW LETTERS, 1986, 57 (14) :1761-1764
[10]   COHERENT AND SEQUENTIAL TUNNELING IN SERIES BARRIERS [J].
BUTTIKER, M .
IBM JOURNAL OF RESEARCH AND DEVELOPMENT, 1988, 32 (01) :63-75