Temperature Dependence of Spin Hall Effect in k-Cubed Rashba Model

• Authors: A. Krzyżewska , A. Dyrdał , J. Berakdar
• Languages of publication: EN

Abstracts

EN

Within the Matsubara Green function formalism and linear response theory we considered theoretically the temperature dependences of the spin Hall effect for a two-dimensional gas with an isotropic k-cubed form of the Rashba interaction. We utilize a standard model for treating spin-orbit phenomena in p-doped semiconductor heterostructures and also for an electron gas formed at perovskite oxides interfaces.

Keywords

EN

75.70.Tj   72.25.-b   72.25.Mk   73.40.-c  

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2018
• Volume: 133
• Issue: 3
• Pages: 558-560

Dates

published

2018-03

References

• [1] J.E. Hirsch, Phys. Rev. Lett. 83, 1834 (1999), doi: 10.1103/PhysRevLett.83.1834
• [2] Y.K. Kato, R.C. Myers, A.C. Gossard, D.D. Awschalom, Science 306, 1910 (2004), doi: 10.1126/science.1105514
• [3] S.O. Valenzuela, M. Tinkham, Nature 442, 176 (2006), doi: 10.1038/nature04937
• [4] L. Vila, T. Kimura, Y. Otani, Phys. Rev. Lett. 99, 226604 (2007), doi: 10.1103/PhysRevLett.99.226604
• [5] K. Ando, J. Ieda, K. Sasage, S. Takahashi, S. Maekawa, E. Saitoh, Appl. Phys. Lett. 94, 262505 (2009), doi: 10.1063/1.3167826
• [6] C.Brune, A. Roth, E.G. Novik, M. König, H. Buhmann, E.M. Hankiewicz, W. Hanke, J. Sinova, L.W. Molenkamp, Nature Physics 6, 448 (2010), doi: 10.1038/nphys1655
• [7] J. Wunderlich, B.-G. Park, A. C. Irvine, L. P. Zarbo, E. Rozkotova, P. Nemec, V. Novak, J. Sinova, T. Jungwirth, Science 330, 1801 (2010), doi: 10.1126/science.1195816
• [8] K. Uchida, S. Takahashi, K. Harii, J. Ieda, W. Koshibae, K. Ando, S. Maekawa, E. Saitoh Nature 455, 778(2008), doi: 10.1038/nature07321
• [9] K. Uchida, J. Xiao, H. Adachi, J. Ohe, S. Takahashi, J. Ieda, T. Ota, Y. Kajiwara, H. Umezawa, H. Kawai, G.E.W. Bauer, S. Maekawa, E. Saitoh, Nature Materials 9, 894 (2010), doi: 10.1038/nmat2856
• [10] C.M. Jaworski, J. Yang, S. Mack, D.D. Awschalom, J.P. Heremans, S. Mahrlein, Nature Materials 9, 898 (2010), doi: 10.1038/nmat2860
• [11] L. Liu, T. Moriyama, D.C. Ralph, R.A. Buhrman, Phys. Rev. Lett. 106, 036601 (2011), doi: 10.1103/PhysRevLett.106.036601
• [12] I.M. Miron, K. Garello, G. Gaudin, P.-J. Zermatten, M.V. Costache, S. Auffret, S. Bandiera, B. Rodmacq, A. Schuhland P. Gambardella, Nature 476, 189 (2011), doi: 10.1038/nature10309
• [13] L. Liu, Ch.-F. Pai, Y. Li, H. W. Tseng, D. C. Ralph, R. A. Buhrman, Science 336, 555 (2012), doi: 10.1126/science.1218197
• [14] M. Cecot, L. Karwacki, W. Skowronski, J. Kanak, J. Wrona, A. Zywczak, L. Yao, S. Dijken, J. Barnas, T. Stobiecki, Scientific Reports 7, 968 (2017), doi: 10.1038/s41598-017-00994-z
• [15] J. Sinova, S.O. Valenzuela, J. Wunderlich, C.-H. Back, T. Jungwirth, Rev. Mod. Phys. 87, 1213 (2015), doi: 10.1103/RevModPhys.87.1213
• [16] G. Vignale, J. Supercond. Nov. Magn. 23, 3 (2010), doi: 10.1007/s10948-009-0547-9
• [17] H.-A. Engel, E.I. Rashba, B.I. Halperin, in: Handbook of Magnetism, Advanced Magnetic Materials, Eds. H. Kronmüller, S. Parkin, John Wiley, Sons Ltd, Chichester, UK 2007, p. 2858
• [18] K. Bencheikh, G. Vignale, Phys. Rev. B 77, 155315 (2008), doi: 10.1103/PhysRevB.77.155315
• [19] J. Borge, C. Gorini, R. Raimondi, Phys. Rev. B 87, 085309 (2013), doi: 10.1103/PhysRevB.87.085309
• [20] C. Gorini, U. Eckern, R. Raimondi, Phys. Rev. Lett. 115, 076602 (2015), doi: 10.1103/PhysRevLett.115.076602
• [21] A. Dyrdal, J. Barnas, V.K. Dugaev, Phys. Rev. B 94, 035306 (2016), doi: 10.1103/PhysRevB.94.035306
• [22] A. Dyrdal, V. K. Dugaev, J. Barnas, Phys. Rev. B 94, 205302 (2016), doi: 10.1103/PhysRevB.94.205302
• [23] A. Dyrdal, J. Barnas, V. K. Dugaev, Phys. Rev B 95, 245302 (2017), doi: 10.1103/PhysRevB.95.245302
• [24] A. Soumyanarayanan, N. Reyren, A. Fert, Ch. Panagopoulos, Nature 539, 509 (2016), doi: 10.1038/nature19820
• [25] E. Lesne, Yu Fu, S. Oyarzun, J.C. Rojas-Sanchez, D.C. Vaz, H. Naganuma, G. Sicoli, J.-P. Attane, M. Jamet, E. Jacquet, J.-M. George, A. Barthelemy, H. Jaffres, A. Fert, M. Bibes, L. Vila, Nature Materials 15, 1261 (2016), doi: 10.1038/nmat4726
• [26] A. Ohtomo, H.Y. Hwang, Nature (London) 427, 423 (2004), doi: 10.1038/nature02308
• [27] S. Thiel, G. Hammerl, A. Schmehl, C. W. Schneider, J. Mannhart, Science 313, 1196 (2006), doi: 10.1126/science.1131091
• [28] C. Cen, S. Thiel, G. Hammerl, C.W. Schneider, K.E. Andersen, C.S. Hellberg, J. Mannhart, J. Levy, Nature Materials 7, 298, (2008), doi: 10.1038/nmat2136
• [29] L. Li, C. Richter, J. Mannhart, R.C. Ashoori, Nature Physics 7, 762, (2011), doi: 10.1038/nphys2080
• [30] A.J. Bert, B. Kalisky, Ch. Bell, M. Kim, Y. Hikita, H.Y. Hwang, K.A. Moler, Nature Physics 7, 767 (2011), doi: 10.1038/nphys2079
• [31] A. Brinkma, M. Huijben, M. van Zalk, J. Huijben, U. Zeitler, J.C. Maan, W.G. van der Wiel, G. Rijnders, D.H.A. Blank, H. Hilgenkamp, Nature Matterials 6, 493 (2007), doi: 10.1038/nmat1931
• [32] H. Nakamura, T. Koga, T. Kimura, Phys. Rev. Lett. 108, 206601 (2012), doi: 10.1103/PhysRevLett.108.206601
• [33] L.W. Feeringen, A. MacCollam, G.A. de Wijs, A. Fasolino, Phys. Rev. B 95, 155134 (2017), doi: 10.1103/PhysRevB.95.155134
• [34] R. Winkler, Spin-Orbit Coupling Effects in Two-Dimensional Electron, Hole Systems, Springer-Verlag, Berlin Heidelberg 2003
• [35] C.-X. Liu, B. Zhou, S.-Q. Shen, B.-F. Zhu, Phys. Rev. B 77, 125345 (2008), doi: 10.1103/PhysRevB.77.125345
• [36] G.D. Mahan, Many Particle Physics. Kluwer Academic/Plenum Publishers, New York 2000
• [37] S. Murakami, Phys. Rev. B 69, 241202(R) (2004), doi: 10.1103/PhysRevB.69.241202
• [38] J. Schliemann, D. Loss, Phys. Rev. B 71, 085308 (2005), doi: 10.1103/PhysRevB.71.085308

Identifiers

DOI

10.12693/APhysPolA.133.558