外磁场作用下量子点热机

doi:10.3969/j.issn.0372-2112.2013.06.003

电子学报 ›› 2013, Vol. 41 ›› Issue (6): 1056-1059.DOI: 10.3969/j.issn.0372-2112.2013.06.003

外磁场作用下量子点热机

何济洲, 张艳超, 王秀梅

南昌大学物理系, 江西南昌 330031

收稿日期:2012-03-21 修回日期:2013-01-15 出版日期:2013-06-25
- 作者简介:
- 何济洲男,1962年10月出生于江西东乡.2003年毕业于厦门大学物理系凝聚态物理专业,获理学博士学位.现为南昌大学物理系教授、博导,江西省高校学科带头人.主要从事凝聚态理论、现代热力学理论、统计物理的若干前沿课题和新材料的热学性质、开发应用的研究. E-mail:hjzhou@ncu.edu.cn 张艳超男,1987年3月出生于内蒙古赤峰市.2011年毕业于南昌大学物理系应用物理专业,获理学学士学位.现为南昌大学凝聚态物理专业在读研究生.主要研究方向为凝聚态理论、现代热力学理论和新材料的热学性质的研究. E-mail:zhangyc1110@qq.com
- 基金资助:
- 国家自然科学基金 (No.110650008)

A Quantum Dot Thermoelectric Engine Under the Applied Magnetic Field

HE Ji-zhou, ZHANG Yan-chao, WANG Xiu-mei

Department of Physics, Nanchang University, Nanchang, Jiangxi 330031, China

Received:2012-03-21 Revised:2013-01-15 Online:2013-06-25 Published:2013-06-25
- Supported by:
- National Natural Science Foundation of China (No.110650008)

摘要/Abstract

摘要： 量子点热机是由两个温度和化学势都不同的热库与量子点构成的.基于随机主方程,我们推导出电子在两个热库之间传输的粒子流表达式,进一步计算出电子从两个热库中吸收的热量、热机的功率和效率.通过数值模拟可以画出功率与效率的性能特征曲线,分析了外磁场大小对热机性能的影响.最后,讨论了该热机在最大功率下的效率随两库温度比的关系,并与卡诺效率和CA效率比较.

关键词: 单电子隧穿, 量子点热机, 效率, 非平衡和不可逆热力学

Abstract: A quantum dot thermoelectric engine consists of a quantum dot embedded between two thermal reservoirs at different temperatures and chemical potentials.Based on stochastic master equation,the steady expressions for the particle current of tunneling electrons between two reservoirs are derived analytically.Moreover,the amount of heat extracted from the reservoirs per unit time,the power output and the efficiency are calculated.The performance characteristics curves between the power output and the efficiency are plotted by numerical simulation.The influence of the applied magnetic field on the performance characteristics of the engine is analyzed.Lastly,the variation of the corresponding efficiency at the maximum power output with the ratio of the temperatures between two reservoirs is discussed and the corresponding efficiency is compared with Carnot efficiency and CA efficiency.

Key words: single-electron tunneling, quantum dot thermoelectric engine, efficiency, nonequilibrium and irreversible thermodynamics

中图分类号:

O469
TN37

何济洲, 张艳超, 王秀梅. 外磁场作用下量子点热机[J]. 电子学报, 2013, 41(6): 1056-1059.

HE Ji-zhou, ZHANG Yan-chao, WANG Xiu-mei . A Quantum Dot Thermoelectric Engine Under the Applied Magnetic Field[J]. Acta Electronica Sinica, 2013, 41(6): 1056-1059.

参考文献

[1] Bustamante C,Liphardt J,Ritort F.The non-equilibrium thermodynamics of small systems[J].Physics Today,2005,58(7):43-48.

[2] Muller D J,Dufrene Y F.Atomic force microscopy as a multifunctional molecular toolbox in nanobiotechnology[J].Nature Nanotechnology,2008,3(5):261-269.

[3] Snyder G J,Toberer E S.Complex thermoelectric materials[J].Nature Materials,2008,7(2):105-114.

[4] Pichanusakorn P,Bandaru P.Nanostructured thermoelectrics[J].Materials Science & Engineering R-Reports,2010,67(2-4):19-63.

[5] Majumdar A.Thermoelectricity in semiconductor nanostructures[J].Science,2004,303(5659):777-778.

[6] Harman T C,Taylor P J,Walsh M P,Laforge B E.Quantum dot super lattice thermoelectric materials and devices[J].Science,2002,297(5590):2229-2232.

[7] Boukai A I,Bunimovich Y,Tahir-Kheli J,Yu J K,Goddard W A,Heath J R.Silicon nanowires as efficient thermoelectric materials[J].Nature,2008,451(7175):168-171.

[8] Heremans J P,Jovovic V,Toberer E S,et al.Enhancement of thermoelectric efficiency in PbTe by distortion of the electronic density of states[J].Science,2008,321(5888):554-558.

[9] 贺兵香,何济洲.双势垒InAs/InP 纳米线异质结热电子制冷机[J].物理学报,2010,59(6):3846-3850. He B X,He J Z.Thermoelectric refrigerator of double-barrier InAs/InP nanowire structure[J].Acta Physica Sinica,2010,59(6):3846-3850.(in Chinese)

[10] 贺兵香,何济洲,缪贵玲.纳米线异质结构对电子制冷机性能的影响[J].物理学报,2011,60(4):040509-1-040509-5. He B X,He J Z,Miao G L.Influence of the nanowire heterostructure on the performance of an electron refrigerator[J].Acta Physica Sinica,2011,60(4):040509-1-040509-5.(in Chinese)

[11] 王小敏,何济洲,王建辉.能量选择性电子热机和制冷机的性能特征分析[J].电子学报,2008,36(11):2178-2184. Wang X M,He J Z,Wang J H.Analysis of performance characteristics of the energy selective electron heat engine and refrigerator[J].Acta Electronica Sinica,2008,36(11):2178-2184.(in Chinese)

[12] Small J P,Perez K M,Kim P.Modulation of thermoelectric power of individual carbon nanotubes[J].Physical Review Letters,2003,91(25):256801-1-256801-4.

[13] Reddy P,Jang S Y,Segalman R,Majumdar A.Thermoelectricity in molecular junctions[J].Science,2007,315(5818):1568-1570.

[14] Humphrey T E,Newbury R,Taylor R P,Linke H.Reversible quantum Brownian heat engines for electrons[J].Physical Review Letters,2002,89(11):116801-1-116801-7.

[15] Humphrey T E,Linke H.Reversible thermoelectric nanomaterials[J].Physical Review Letters,2005,94(9):09660-1-1096601-4.

[16] Hicks L D,Dresselhaus M S.Thermoelectric figure of merit of a one-dimensional conductor[J].Physical Review B,1993,47(24):16631-16634.

[17] Esposito M,Lindenberg K,Van den Broeck C.Thermoelectric efficiency at maximum power in a quantum dot[J].Europhysics Letters,2009,85(6):60010-1-60010-4.

[18] Esposito M,Lindenberg K.Universality of efficiency at maximum power[J].Physical Review Letters,2009,102(13):130602-1-130602-4.

[19] Esposito M,Kawai R,Lindenberg K,Van den Broeck C.Finite-time thermodynamics for a single-level quantum dot[J].Europhysics Letters,2010,89(2):20003-1-20003-7.

[20] Esposito M,Kawai R,Lindenberg K,Van den Broeck C.Quantum-dot Carnot engine in maximum power[J].Physical Review E,2010,81(4):041106-1-041106-6.

[21] Bonet E,Deshmukh M M,Ralph D C.Solving rate equations for electron tunneling via discrete quantum states[J].Physical Review B,2002,65(4):045317-1-045317-10.

[22] Curzon F,Ahlborn B.Efficiency of a Carnot engine at maximum power output[J].American Journal of Physics,1975,43(1):22-26.

外磁场作用下量子点热机

A Quantum Dot Thermoelectric Engine Under the Applied Magnetic Field

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

[1]	王强, 王有政, 王天施, 刘晓琴. 新型单相低能耗半桥逆变器[J]. 电子学报, 2023, 51(3): 779-782.
[2]	徐少平, 李芬, 陈孝国, 陈晓军, 江顺亮. 一种利用改进深度图像先验构建的图像降噪模型[J]. 电子学报, 2022, 50(7): 1573-1578.
[3]	王强, 曹睿, 王天施, 刘晓琴. 具有软开关功能的新型三相谐振极逆变器[J]. 电子学报, 2022, 50(5): 1277-1280.
[4]	胡文文, 周日贵. 基于d维单个量子态的半量子密钥分发方案[J]. 电子学报, 2022, 50(5): 1025-1032.
[5]	林志, 林敏, 黄清泉, 赵柏, 顾晨伟, 许拔. 能效最大化准则下的星地融合网络的安全波束成形算法[J]. 电子学报, 2022, 50(1): 124-134.
[6]	王强, 王有政, 王天施, 刘晓琴. 具有单辅助开关的高效率单相全桥谐振极逆变器[J]. 电子学报, 2021, 49(9): 1863-1866.
[7]	刘凯, 倪佳. 基于循环差集的最佳高斯整数序列构造[J]. 电子学报, 2021, 49(8): 1474-1479.
[8]	王强, 李森, 王天施, 刘晓琴. 新型三相谐振直流环节逆变器[J]. 电子学报, 2021, 49(8): 1641-1644.
[9]	王孟依, 陈振兴, 陈智慧. 基于三级LLR检测的广义零填充三模OFDM索引调制系统研究[J]. 电子学报, 2021, 49(7): 1291-1297.
[10]	丁青锋, 刘梦霞. 基于混合精度ADC的大规模MIMO中继系统物理层安全性能研究[J]. 电子学报, 2021, 49(6): 1142-1150.
[11]	王强, 曹睿, 王天施, 刘晓琴. 高效率三相谐振极逆变器[J]. 电子学报, 2021, 49(6): 1224-1227.
[12]	吕品, 何岳滨, 许嘉. 基于顺序选择的自动驾驶车辆十字路口调度方案[J]. 电子学报, 2021, 49(5): 912-919.
[13]	王强, 王有政, 王天施, 刘晓琴. 高效率单相全桥零电流开关谐振极逆变器[J]. 电子学报, 2021, 49(4): 788-791.
[14]	丁青锋, 罗静, 高鑫鹏, 石辉. 基于混合量化移相器的毫米波大规模MIMO预编码设计[J]. 电子学报, 2021, 49(12): 2349-2356.
[15]	周红平, 潘珍珍, 郭凯, 雷艺, 郭忠义. OAM光通信系统能量利用效率研究[J]. 电子学报, 2021, 49(10): 1881-1892.