Chiral tunneling of topological states: Towards the efficient generation of spin current using spin-momentum locking

Physical Review Letters

Volumn 114, Issue 17, 2015, Pages

  Habib, K M Masum ^a   Sajjad, Redwan N ^a   Ghosh, Avik W ^a  

^a University of Virginia   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MOMENTUM;

CHARGE CURRENT; HELICAL SURFACES; INCIDENT ELECTRONS; SPIN CURRENTS; SPIN MOMENTUM; SPIN-POLARIZED; TOPOLOGICAL INSULATORS; TOPOLOGICAL STATE;

LOCKS (FASTENERS);

EID: 84930224800     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.114.176801     Document Type: Article

References (34)

1. X.-L. Qi and S.-C. Zhang, Rev. Mod. Phys. 83, 1057 (2011). RMPHAT 0034-6861 10.1103/RevModPhys.83.1057
2. V.V. Cheianov and V.I. Fal'ko, Phys. Rev. B 74, 041403 (2006). PRBMDO 1098-0121 10.1103/PhysRevB.74.041403
3. A.F. Young and P. Kim, Nat. Phys. 5, 222 (2009). NPAHAX 1745-2473 10.1038/nphys1198
4. R.N. Sajjad, S. Sutar, J.U. Lee, and A.W. Ghosh, Phys. Rev. B 86, 155412 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.155412
5. R.N. Sajjad and A.W. Ghosh, ACS Nano 7, 9808 (2013). ANCAC3 1936-0851 10.1021/nn403336n
6. Z. Wu, F. Peeters, and K. Chang, Appl. Phys. Lett. 98, 162101 (2011). APPLAB 0003-6951 10.1063/1.3581887
7. R. Takahashi and S. Murakami, Phys. Rev. Lett. 107, 166805 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.166805
8. J. Wang, X. Chen, B.-F. Zhu, and S.-C. Zhang, Phys. Rev. B 85, 235131 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.235131
9. S. Datta, V.Q. Diep, and B. Behin-Aein, in Emerging Nanoelectronic Devices, edited by A. Chen, J. Hutchby, V. Zhirnov, and G. Bourianoff (John Wiley and Sons, New York, 2015), Chap. 2, p. 22.
10. L. Liu, C.-F. Pai, Y. Li, H.W. Tseng, D.C. Ralph, and R.A. Buhrman, Science 336, 555 (2012). SCIEAS 0036-8075 10.1126/science.1218197
11. S. Datta, S. Salahuddin, and B. Behin-Aein, Appl. Phys. Lett. 101, 252411 (2012). APPLAB 0003-6951 10.1063/1.4769989
12. O. Mosendz, J.E. Pearson, F.Y. Fradin, G.E.W. Bauer, S.D. Bader, and A. Hoffmann, Phys. Rev. Lett. 104, 046601 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.046601
13. L. Liu, T. Moriyama, D.C. Ralph, and R.A. Buhrman, Phys. Rev. Lett. 106, 036601 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.036601
14. A. Mellnik, Nature (London) 511, 449 (2014). NATUAS 0028-0836 10.1038/nature13534
15. Y. Fan, Nat. Mater. 13, 699 (2014). NMAACR 1476-1122 10.1038/nmat3973
16. J.-H. Gao, J. Yuan, W.-Q. Chen, Y. Zhou, and F.-C. Zhang, Phys. Rev. Lett. 106, 057205 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.057205
17. S. Manipatruni, D.E. Nikonov, and I.A. Young, Appl. Phys. Express 7, 103001 (2014). APEPC4 1882-0778 10.7567/APEX.7.103001
18. J. Lee, J.-H. Lee, J. Park, J.S. Kim, and H.-J. Lee, Phys. Rev. X 4, 011039 (2014). PRXHAE 2160-3308 10.1103/PhysRevX.4.011039
19. J. Chen, Phys. Rev. Lett. 105, 176602 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.176602
20. A.A. Burkov and D.G. Hawthorn, Phys. Rev. Lett. 105, 066802 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.066802
21. Y. Tserkovnyak and D. Loss, Phys. Rev. Lett. 108, 187201 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.187201
22. E.I. Rashba, Phys. Rev. B 68, 241315 (2003). PRBMDO 0163-1829 10.1103/PhysRevB.68.241315
23. I.V. Tokatly, Phys. Rev. Lett. 101, 106601 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.106601
24. E.B. Sonin, Phys. Rev. Lett. 99, 266602 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.266602
25. F. Mahfouzi and B.K. Nikolić, SPIN 03, 1330002 (2013). 10.1142/S2010324713300028
26. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevLett.114.176801 for the details of the discretized (Equation presented) Hamiltonian, the NEGF method for nonequilibrium spin current, and the analytical expression for the total current. It includes Refs. [20,21,27-32].
27. S. Hong, V. Diep, S. Datta, and Y.P. Chen, Phys. Rev. B 86, 085131 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.085131
28. H. Zhang, C.-X. Liu, X.-L. Qi, X. Dai, Z. Fang, and S.-C. Zhang, Nat. Phys. 5, 438 (2009). NPAHAX 1745-2473 10.1038/nphys1270
29. R. Stacey, Phys. Rev. D 26, 468 (1982). PRVDAQ 0556-2821 10.1103/PhysRevD.26.468
30. L. Susskind, Phys. Rev. D 16, 3031 (1977). PRVDAQ 0556-2821 10.1103/PhysRevD.16.3031
31. A.N.M. Zainuddin, S. Hong, L. Siddiqui, S. Srinivasan, and S. Datta, Phys. Rev. B 84, 165306 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.165306
32. See Eq. (8.6.5) in S. Datta, Electronic Transport in Mesoscopic Systems (Cambridge University Press, Cambridge, England, 1997), p. 317.
33. Q.-f. Sun and X.C. Xie, Phys. Rev. B 72, 245305 (2005). PRBMDO 1098-0121 10.1103/PhysRevB.72.245305
34. O.V. Yazyev, J.E. Moore, and S.G. Louie, Phys. Rev. Lett. 105, 266806 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.266806