Topological insulator magnetic tunnel junctions: Quantum hall effect and fractional charge via folding

Physical Review Letters

Volumn 109, Issue 17, 2012, Pages

  Meng, Qinglei ^a   Vishveshwara, Smitha ^a   Hughes, Taylor L ^a  

^a University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FERROMAGNETIC LAYERS; FRACTIONAL CHARGES; INTERACTION EFFECT; MAGNETIC TUNNEL JUNCTION; QUANTUM HALL; SAMPLE GEOMETRY; TOPOLOGICAL INSULATORS;

ELECTRIC INSULATORS; TOPOLOGY;

QUANTUM HALL EFFECT;

EID: 84868032305     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.109.176803     Document Type: Article

References (24)

1. C.L. Kane and E.J. Mele, Phys. Rev. Lett. 95, 226801 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.226801 (Pubitemid 41776999)
2. C.L. Kane and E.J. Mele, Phys. Rev. Lett. 95, 146802 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.146802 (Pubitemid 41777602)
3. B.A. Bernevig and S.C. Zhang, Phys. Rev. Lett. 96, 106802 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.106802
4. B.A. Bernevig, T.L. Hughes, and S.C. Zhang, Science 314, 1757 (2006). SCIEAS 0036-8075 10.1126/science.1133734 (Pubitemid 44969083)
5. M. König, S. Wiedmann, C. Brüne, A. Roth, H. Buhmann, L. Molenkamp, X.-L. Qi, and S.-C. Zhang, Science 318, 766 (2007). SCIEAS 0036-8075 10.1126/science.1148047 (Pubitemid 351411764)
6. L. Fu, C.L. Kane, and E.J. Mele, Phys. Rev. Lett. 98, 106803 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.106803 (Pubitemid 46393379)
7. J.E. Moore and L. Balents, Phys. Rev. B 75, 121306 (2007). PRBMDO 1098-0121 10.1103/PhysRevB.75.121306
8. R. Roy, Phys. Rev. B 79, 195322 (2009). PRBMDO 1098-0121 10.1103/PhysRevB.79.195322
9. M.Z. Hasan and C.L. Kane, Rev. Mod. Phys. 82, 3045 (2010). RMPHAT 0034-6861 10.1103/RevModPhys.82.3045
10. X.-L. Qi, T.L. Hughes, and S.-C. Zhang, Nat. Phys. 4, 273 (2008). NPAHAX 1745-2473 10.1038/nphys913
11. L. Fu and C.L. Kane, Phys. Rev. Lett. 100, 096407 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.096407 (Pubitemid 351399080)
12. L. Fu and C.L. Kane, Phys. Rev. B 76, 045302 (2007). PRBMDO 1098-0121 10.1103/PhysRevB.76.045302
13. X.-L. Qi, T.L. Hughes, and S.-C. Zhang, Phys. Rev. B 78, 195424 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.78.195424
14. L. Fu and C.L. Kane, Phys. Rev. Lett. 102, 216403 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.216403
15. A.R. Akhmerov, J. Nilsson, and C.W.J. Beenakker, Phys. Rev. Lett. 102, 216404 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.216404
16. R. Jackiw and C. Rebbi, Phys. Rev. D 13, 3398 (1976). PRVDAQ 0556-2821 10.1103/PhysRevD.13.3398
17. B. Seradjeh, J.E. Moore, and M. Franz, Phys. Rev. Lett. 103, 066402 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.066402
18. G. Rosenberg, H.-M. Guo, and M. Franz, Phys. Rev. B 82, 041104 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.041104
19. X.-L. Qi, T.L. Hughes, and S.-C. Zhang, Phys. Rev. B 82, 184516 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.184516
20. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.109.176803 for more detailed derivations.
21. C. Wu, B.A. Bernevig, and S.C. Zhang, Phys. Rev. Lett. 96, 106401 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.106401
22. T. Giamarchi, Quantum Physics in One Dimension (Oxford University Press, New York, 2003).
23. A. Roth, C. Brune, H. Buhmann, L.W. Molenkamp, J. Maciejko, X.-L. Qi, and S.-C. Zhang, Science 325, 294 (2009). SCIEAS 0036-8075 10.1126/science.1174736
24. Y.L. Chen, J.-H. Chu, J.G. Analytis, Z.K. Liu, K. Igarashi, H.-H. Kuo, X.-L. Qi, S.K. Mo, R.G. Moore, D.H. Lu, M. Hashimoto, T. Sasagawa, S.-C. Zhang, I.R. Fisher, Z. Hussain, and Z.-X. Shen, Science 329, 659 (2010). SCIEAS 0036-8075 10.1126/science.1189924