Nonequilibrium spin transport properties of three site one-dimensional
chain system with electronic interactions and their analytic formulas

doi:10.3969/j.issn.1007-5461.2022.03.009

Chinese Journal of Quantum Electronics ›› 2022, Vol. 39 ›› Issue (3): 373-393.doi: 10.3969/j.issn.1007-5461.2022.03.009

• Quantum Physics • Previous Articles Next Articles

Nonequilibrium spin transport properties of three site one-dimensional chain system with electronic interactions and their analytic formulas

ZHENG Yangdong1,2∗, GAO Hua3

( 1 Research and Development Department, Mitsubishi Electric (China) Company Limited, Shanghai 200336, China; 2 Research Center for Low Temperature and Materials Sciences, Kyoto University, Kyoto 606-8501, Japan; 3 East China Normal University, Shanghai 200241, China )

Received:2020-12-22 Revised:2021-12-22 Published:2022-05-28 Online:2022-05-28

Abstract

Abstract: In order to understand and deal with the basic theoretical problems of the electron spin transport in mesoscopic systems, nonequilibrium spin transport properties of typical three site onedimensional (1D) quantum chain system with electronic interactions are analyzed and the corresponding analytic formulas are deduced. Firstly, the initial charge on each site of the chain is calculated from the exactly derived ground state under the half-filling assumption. Then, based on Keldysh formalism, the basic theoretical methods are described in detail, and the main analytic formulas of the nonequilibrium spin transport properties (differential spin conductance, spin transport current and electronic charge distribution, etc.) of the 1D chain systems are derived considering Hartree-Fock approximation and Coulomb electronic interaction. Both the cases, namely, the scattering process considering the Coulomb repulsion force between the spin-up and spin-down electrons and the scattering process considering the spin-spin interaction due to spin degree of freedom, are considered. Finally, under the conditions of typical parameters, the initial charges and calculating formulas are used to calculate the nonequilibrium spin transport properties of the chain system self-consistently, and the corresponding physical interpretations of the numerical calculation data are provided, which verifies the correctness and validity of the formulas.

Key words: quantum theory, one-dimensional interacting chain system, nonequilibrium spin transport; Keldysh formalism, Hartree-Fock approximation

CLC Number:

O413

ZHENG Yangdong, ∗, GAO Hua. Nonequilibrium spin transport properties of three site one-dimensional chain system with electronic interactions and their analytic formulas[J]. Chinese Journal of Quantum Electronics, 2022, 39(3): 373-393.

References

[1] I. ?uti?, J. Fabian, and S. Das Sarma: Rev. Mod. Phys. 76, 323 (2004).
[2] V. Baltz, A. Manchon, M. Tsoi, T. Moriyama, T. Ono, and Y. Tserkovnyak: Rev. Mod. Phys. 90, 015005 (2018).
[3] S. Datta and B. Das: Appl. Phys. Lett. 56, 665(1990).
[4] K. Ono, G. Giavaras, T. Tanamoto, T. Ohguro, X. Hu, and F. Nori: Phys. Rev. Lett. 119, 156802 (2017).
[5] S. Sato, M. Ichihara, M. Tanaka, and R. Nakane: Phys. Rev. B 99, 165301 (2019).
[6] D. Deutsch and R. Jozsa: Proc. Math. Phys. Sci. 439, 553 (1992).
[7] S. Das Sarma, J. Fabian, X. Hu, and I. ?uti?: Solid State Commun.119, 207-215(2001).
[8] M. A. Nielsen, and I. L. Chuang: Quantum Computation and Quantum Information (Cambridge University,Cambridege/New York, 2000).
[9] G. Burkard, H. A. Engel, and D. Loss: Fortschr. Phys. 48, 965(2000).
[10] A. E. Popescu and R. Ionicioiu: Phys. Rev. B 69, 245422 (2004).
[11] P. F?ldi, B. Molnár, M. G. Benedict, and F. M. Peeters: Phys. Rev. B 71,033309 (2005).
[12] K. Ono, S.?N. Shevchenko, T. Mori, S. Moriyama, and Franco Nori: Phys. Rev. Lett. 122, 207703 (2019).
[13] F. A. Calderon-Vargas, George S. Barron, Xiu-Hao Deng, A. J. Sigillito, Edwin Barnes, and Sophia E. Economou: Phys. Rev. B 100, 035304 (2019).
[14] Loss, D., and D. P. DiVincenzo: Phys. Rev. A 57, 120(1998).
[15] Kane, B. E.: Nature 393, 133(1998).
[16] S. Nonoyama, A. Oguri, Y. Asano, and S. Maekawa: Phys. Rev. B 50, 2667 (1994); S. Nonoyama and A. Oguri: J. Phys. Soc. Jpn. 64, 3871(1995).
[17] C. W. J. Beenakker: Phys. Rev. B 73, 201304(R)(2006).
[18] G. Giavaras, J. H. Jefferson, M. Fearn, and C. J. Lambert: Phys. Rev. B 75, 085302(2007).
[19] J. Schwinger: J. Math. Phys. 2, 407 (1961).
[20] L. V. Keldysh: Sov. Phys. JETP 20, 1018 (1965).
[21] C. Caroli, R. Combescot, P. Nozieres, and D. Saint-James: J. Phys. C 4, 916 (1971).
[22] S. Hershfield, J. H. Davies, and J. W. Wilkins: Phys. Rev. B46, 7046 (1992).
[23] Y. Meir, N. S. Wingreen and P. A. Lee: Phys. Rev. Lett. 66, 3048 (1991).
[24] S. Datta: Electronic Transport in Mesoscopic Systems (Cambridge University Press, 1995)
[25] S. Ajisaka and F. Barra: Phys. Rev. B 87, 195114 (2013).
[26] L. D. Landau and E. M. Lifshitz: (Course of Theoretical Physics) Statistical Physics Part2 (Vol. 9), Physical Kinetics (Vol. 10) (Pergamon Press, New York, 1965)
[27] Y. Meir and N. S. Wingreen: Phys. Rev. Lett. 68, 2512 (1992).
[28] D. Goldhaber-Gordon, H. Shtrikman, D. Mahalu, D. AbuschMagder, U. Meirav, and M. A. Kastner: Nature (London) 391, 156 (1998).
[29] Y. D. Zheng, H. Mizuta and S. Oda: Jpn. J. Appl. Phys. Part 1 47, No. 1A, 371-382 (2008).
[30] P. A. Khomyakov, G. Brocks, V. Karpan, M. Zwierzycki and P. J. Kelly: Phys. Rev. B 72, 035450 (2005).

Nonequilibrium spin transport properties of three site one-dimensional chain system with electronic interactions and their analytic formulas

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 4

Recommended Articles

Metrics

Comments

[1]	ZOU Yan LI Yong-ping. Fidelity of Quantum State of two two-level atoms in Common Thermal Reservoir [J]. J4, 2014, 31(6): 728-733.
[2]	LI Jian. Evolution of ion population inversion in nonlinear trapped ion model [J]. J4, 2013, 30(4): 461-465.
[3]	ZHANG Guoshun. Fidelities of quantum states in the system of the two-mode entangled coherent field interacting with atoms in Bell states in Kerr thin medium for fine cavity [J]. J4, 2010, 27(5): 586-595.
[4]	TIAN Yong-Hong, ZHANG Feng-qin. Squeezing properties of atom and light in the system of squeezed vacuum field Raman interacting with two coupled-atoms [J]. J4, 2010, 27(4): 416-423.