Spin-dependent balance equations in spintronics

doi:10.1088/1674-1056/27/1/016701

中国物理B ›› 2018, Vol. 27 ›› Issue (1): 16701-016701.doi: 10.1088/1674-1056/27/1/016701

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇下一篇

Spin-dependent balance equations in spintronics

Zheng-Chuan Wang(王正川)

Department of Physics and CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100049, China

收稿日期:2017-07-27 修回日期:2017-09-18 出版日期:2018-01-05 发布日期:2018-01-05
通讯作者: Zheng-Chuan Wang E-mail:wangzc@ucas.ac.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11274378), the Key Research Program of the Chinese Academy of Sciences (Grant No. XDPB08-3), and the MOST of China (Grant No. 2013CB933401).

Spin-dependent balance equations in spintronics

Zheng-Chuan Wang(王正川)

Department of Physics and CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100049, China

Received:2017-07-27 Revised:2017-09-18 Online:2018-01-05 Published:2018-01-05
Contact: Zheng-Chuan Wang E-mail:wangzc@ucas.ac.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11274378), the Key Research Program of the Chinese Academy of Sciences (Grant No. XDPB08-3), and the MOST of China (Grant No. 2013CB933401).

摘要/Abstract

摘要： It is commonly known that the hydrodynamic equations can be derived from the Boltzmann equation. In this paper, we derive similar spin-dependent balance equations based on the spinor Boltzmann equation. Besides the usual charge current, heat current, and pressure tensor, we also explore the characteristic spin accumulation and spin current as well as the spin-dependent pressure tensor and heat current in spintronics. The numerical results of these physical quantities are demonstrated using an example of spin-polarized transport through a mesoscopic ferromagnet.

关键词: spin-dependent balance equations, spinor Boltzmann equation, spintronics, spin current

Abstract: It is commonly known that the hydrodynamic equations can be derived from the Boltzmann equation. In this paper, we derive similar spin-dependent balance equations based on the spinor Boltzmann equation. Besides the usual charge current, heat current, and pressure tensor, we also explore the characteristic spin accumulation and spin current as well as the spin-dependent pressure tensor and heat current in spintronics. The numerical results of these physical quantities are demonstrated using an example of spin-polarized transport through a mesoscopic ferromagnet.

Key words: spin-dependent balance equations, spinor Boltzmann equation, spintronics, spin current

中图分类号: (Transport properties and hydrodynamics)

67.10.Jn

71.10.Ay (Fermi-liquid theory and other phenomenological models) 72.25.-b (Spin polarized transport) 72.10.Bg (General formulation of transport theory)

王正川. Spin-dependent balance equations in spintronics[J]. 中国物理B, 2018, 27(1): 16701-016701.

Zheng-Chuan Wang(王正川). Spin-dependent balance equations in spintronics[J]. Chin. Phys. B, 2018, 27(1): 16701-016701.

参考文献 39

[1]	Landau L D and Lifshitz E M 1959 Fluid Mechanics (Oxford: Pergamon Press)
[2]	Madelung E 1926 Z. Phys. 40 322
[3]	Jüngel A 2009 Transport Equations for Semiconductors (Berlin: Springer)
[4]	Landau L D 1956 Zh. Eksp. Teor. Fiz. 30 1058
[5]	Landau L D 1956 Sov. Phys.-JETP 3 920
[6]	Pines D and Nozieres P 1966 The Theory of Quantum Liquids (New York: Benjamin)
[7]	Smith H and Jensen H H 1989 Transport Phenomena (Oxford: Clarendon Press)
[8]	Galasiewicz Z M 1984 Journal of Low Temperature Physics 57 123
[9]	Galasiewicz Z M 1988 Journal of Low Temperature Physics 72 153
[10]	Silin V P 1957 Zh. Eksp. Teor. Fiz. 33 495
[11]	Silin V P 1958 Sov. Phys.-JETP 6 387
[12]	Abrikosov A A and Dzyaloshinskil I E 1958 Zh. Eksp. Teor. Fiz. 35 771
[13]	Abrikosov A A and Dzyaloshinskil I E 1959 Sov. Phys. JETP 8 535
[14]	Kondratenko S 1964 Zh. Eksp. Teor. Fiz. 46 1438
[15]	Kondratenko S 1964 Sov. Phys. JETP 19 972
[16]	Kondratenko S 1964 Zh. Eksp. Teor. Fiz. 47 1536
[17]	Kondratenko S 1965 Sov. Phys. JETP 20 1032
[18]	Julliere M, Baibich M N, et al. 1988 Phys. Rev. Lett. 61 2472
[19]	Slonczewski J C 1989 Phys. Rev. B 39 6995
[20]	Slonczewski J C 1996 J. Magn. Magn. Mater. 159 L1
[21]	Slonczewski J C 1999 J. Magn. Magn. Mater. 195 L261
[22]	Berger L 1996 Phys. Rev. B 54 9353
[23]	Berger L 2001 J. Appl. Phys. 89 5521
[24]	Valet T and Fert A 1993 Phys. Rev. B 48 7099
[25]	Wen H Y and Xia J B 2017 Chin. Phys. B 26 047501
[26]	Zhang S, Levy P M and Fert A 2002 Phys. Rev. Lett. 88 23601
[27]	Shapiro A and Levy P M 2000 Phys. Rev. B 63 014419
[28]	Wang Z C 2012 Commun. Theor. Phys. 58 909
[29]	Wang Z C 2017 Physica A 465 754
[30]	Wang Z C, Su G and Gao S 2001 Phys. Rev. B 63 224419
[31]	Breton J C Le, Sharma S, Saito H, Yuasa S and Jansen R 2011 Nature 475 10224
[32]	Bauer G E, Saitoh E and van Wees B J 2012 Nat. Mater. 23 3301
[33]	Czerner M, Bachmann M and Heiliger C 2011 Phys. Rev. B 83 132405
[34]	Zhang J, Levy P M, Zhang S and Antropov V 2004 Phys. Rev. Lett. 93 256602
[35]	Sheng L, Xing D Y, Wang Z D and Dong J 1997 Phys. Rev. B 55 5908
[36]	Kadanoff L P and Baym G 1962 Quantum Statistical Mechanics (New York: Benjamin)
[37]	Mahan G D 1987 Phys. Rep. 145 251
[38]	Sheng L, Teng H Y and Xing D Y 1998 Phys. Rev. B 58 6428
[39]	Wang Z C 2012 Euro. Phys. J. B 85 303

Spin-dependent balance equations in spintronics

Spin-dependent balance equations in spintronics

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