Strong Bounds on Onsager Coefficients and Efficiency for Three-Terminal Thermoelectric Transport in a Magnetic Field

被引：138

作者：

Brandner, Kay ^{[1
]}

Saito, Keiji ^{[2
]}

Seifert, Udo ^{[1
]}

机构：

[1] Univ Stuttgart, Inst Theoret Phys 2, D-70550 Stuttgart, Germany

[2] Keio Univ, Dept Phys, Kohoku Ku, Yokohama, Kanagawa 2238522, Japan

来源：

PHYSICAL REVIEW LETTERS | 2013年 / 110卷 / 07期

关键词：

POWER;

D O I：

10.1103/PhysRevLett.110.070603

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For thermoelectric transport in the presence of a magnetic field that breaks time-reversal symmetry, a strong bound on the Onsager coefficients is derived within a general setup using three terminals. Asymmetric Onsager coefficients lead to a maximum efficiency substantially smaller than the Carnot efficiency reaching only eta(C)/4 in the limit of strong asymmetry. Related bounds are derived for efficiency at maximum power, which can become larger than the Curzon-Ahlborn value eta(C)/2, and for a cooling device. Our approach reveals that in the presence of reversible currents the standard analysis based on the positivity of entropy production is incomplete without considering the role of current conservation explicitly. DOI: 10.1103/PhysRevLett.110.070603

引用

页数：5

共 25 条

[1] Cooling, heating, generating power, and recovering waste heat with thermoelectric systems [J].

Bell, Lon E. .

SCIENCE, 2008, 321 (5895) :1457-1461

[2] Thermodynamic Bounds on Efficiency for Systems with Broken Time-Reversal Symmetry [J].

Benenti, Giuliano ;

Saito, Keiji ;

Casati, Giulio .

PHYSICAL REVIEW LETTERS, 2011, 106 (23)

[3] THERMAL AND ELECTRICAL TRANSPORT FORMALISM FOR ELECTRONIC MICROSTRUCTURES WITH MANY TERMINALS [J].

BUTCHER, PN .

JOURNAL OF PHYSICS-CONDENSED MATTER, 1990, 2 (22) :4869-4878

[4] SYMMETRY OF ELECTRICAL-CONDUCTION [J].

BUTTIKER, M .

IBM JOURNAL OF RESEARCH AND DEVELOPMENT, 1988, 32 (03) :317-334

[5] ROLE OF QUANTUM COHERENCE IN SERIES RESISTORS [J].

BUTTIKER, M .

PHYSICAL REVIEW B, 1986, 33 (05) :3020-3026

[6]

Callen HB., 1985, Thermodynamics and an Introduction to Thermostatistics

[7] ON ONSAGER PRINCIPLE OF MICROSCOPIC REVERSIBILITY [J].

CASIMIR, HBG .

REVIEWS OF MODERN PHYSICS, 1945, 17 (2-3) :343-350

[8] EFFICIENCY OF A CARNOT ENGINE AT MAXIMUM POWER OUTPUT [J].

CURZON, FL ;

AHLBORN, B .

AMERICAN JOURNAL OF PHYSICS, 1975, 43 (01) :22-24

[9] New directions for low-dimensional thermoelectric materials [J].

Dresselhaus, Mildred S. ;

Chen, Gang ;

Tang, Ming Y. ;

Yang, Ronggui ;

Lee, Hohyun ;

Wang, Dezhi ;

Ren, Zhifeng ;

Fleurial, Jean-Pierre ;

Gogna, Pawan .

ADVANCED MATERIALS, 2007, 19 (08) :1043-1053

[10] Three-terminal thermoelectric transport under broken time-reversal symmetry [J].

Entin-Wohlman, O. ;

Aharony, A. .

PHYSICAL REVIEW B, 2012, 85 (08)

← 1 2 3 →