Spin-Hall insulator

Physical Review Letters

Volumn 93, Issue 15, 2004, Pages

  Murakami, Shuichi ^a   Nagaosa, Naoto ^a,b,c   Zhang, Shou Cheng ^d  

^a UNIVERSITY OF TOKYO   (Japan)

^b NATIONAL INSTITUTE OF ADVANCED INDUSTRIAL SCIENCE AND TECHNOLOGY AIST   (Japan)

^c JAPAN SCIENCE AND TECHNOLOGY AGENCY   (Japan)

^d STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC FIELDS; FERMI LEVEL; HALL EFFECT; HAMILTONIANS; LATTICE CONSTANTS; MAGNETIC FIELDS; PARAMETER ESTIMATION; SEMICONDUCTOR MATERIALS; STRAIN; STRESS ANALYSIS; VECTORS;

BAND INSULATORS; CHARGE CURRENTS; QUANTUM-HALL EFFECTS; SPIN CURRENTS;

ELECTRIC INSULATORS;

EID: 19644400795     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.93.156804     Document Type: Article

References (27)

1. S. Murakami, N. Nagaosa, and S. C. Zhang, Science 301, 1348 (2003).
2. J. Sinova et al., Phys. Rev. Lett. 92, 126603 (2004).
3. J. Inoue, G. E. W. Bauer, and L. W. Molenkamp, Phys. Rev. B 70, 041303 (2004).
4. S. Murakami, Phys. Rev. B 69, 241202(R) (2004).
5. F. Meier and D. Loss, Phys. Rev. Lett. 90, 167204 (2003).
6. S. Murakami, N. Nagaosa, and S. C. Zhang, Phys. Rev. B 69, 235206 (2004).
7. Here we changed the normalization of d by a constant factor from [6] for convenience.
8. K.-U. Gawlik et al., Phys. Rev. Lett. 78, 3165 (1997), and references therein; T. Dietl et al., Phys. Rev. Lett. 81, 1535 (1998); K.-U. Gawlik et al., ibid. 81, 1536 (1998); D. Eich et al., Phys. Rev. B 61, 12666 (2000).
9. K.-U. Gawlik et al., Phys. Rev. Lett. 78, 3165 (1997), and references therein; T. Dietl et al., Phys. Rev. Lett. 81, 1535 (1998); K.-U. Gawlik et al., ibid. 81, 1536 (1998); D. Eich et al., Phys. Rev. B 61, 12666 (2000).
10. K.-U. Gawlik et al., Phys. Rev. Lett. 78, 3165 (1997), and references therein; T. Dietl et al., Phys. Rev. Lett. 81, 1535 (1998); K.-U. Gawlik et al., ibid. 81, 1536 (1998); D. Eich et al., Phys. Rev. B 61, 12666 (2000).
11. K.-U. Gawlik et al., Phys. Rev. Lett. 78, 3165 (1997), and references therein; T. Dietl et al., Phys. Rev. Lett. 81, 1535 (1998); K.-U. Gawlik et al., ibid. 81, 1536 (1998); D. Eich et al., Phys. Rev. B 61, 12666 (2000).
12. A. Delin, Phys. Rev. B 65, 153205 (2002); A. Delin and T. Klüner, ibid. 66, 035117 (2002).
13. A. Delin, Phys. Rev. B 65, 153205 (2002); A. Delin and T. Klüner, ibid. 66, 035117 (2002).
14. J. E. Avron, L. Sadun, J. Segert, and B. Simon, Phys. Rev. Lett. 61, 1329 (1988).
15. J. M. Luttinger, Phys. Rev. 102, 1030 (1956).
16. We take the hole picture where only the LH is occupied
17. B. A. Bernevig, J. P. Hu, E. Mukamel, and S.C. Zhang, Phys. Rev. B 70, 113301 (2004).
18. B. J. Roman and A. W. Ewald, Phys. Rev. B 5, 3914 (1972).
19. G. E. Pikus and G. L. Bir, Fiz. Tverd. Tela 1, 1642 (1959) [Sov. Phys. Solid State 1, 1502 (1960)].
20. G. E. Pikus and G. L. Bir, Fiz. Tverd. Tela 1, 1642 (1959) [Sov. Phys. Solid State 1, 1502 (1960)].
21. S. C. Zhang, S. Kivelson, and D. H. Lee, Phys. Rev. Lett. 69, 1252 (1992).
22. These materials have been studied theoretically for the model of parity anomaly for a possibilitiy of the Hall effect at the domain boundary. See E. Fradkin, E. Dagotto, and D. Boyanovsky, Phys. Rev. Lett. 57, 2967 (1986); 58, 961(E) (1987); D. Boyanovsky, E. Dagotto, and E. Fradkin, Nucl. Phys. B285, 340 (1987).
23. These materials have been studied theoretically for the model of parity anomaly for a possibilitiy of the Hall effect at the domain boundary. See E. Fradkin, E. Dagotto, and D. Boyanovsky, Phys. Rev. Lett. 57, 2967 (1986); 58, 961(E) (1987); D. Boyanovsky, E. Dagotto, and E. Fradkin, Nucl. Phys. B285, 340 (1987).
24. These materials have been studied theoretically for the model of parity anomaly for a possibilitiy of the Hall effect at the domain boundary. See E. Fradkin, E. Dagotto, and D. Boyanovsky, Phys. Rev. Lett. 57, 2967 (1986); 58, 961(E) (1987); D. Boyanovsky, E. Dagotto, and E. Fradkin, Nucl. Phys. B285, 340 (1987).
25. O. Tchernyshyov, Phys. Rev. B 62, 16751 (2000).
26. B. A. Volkov, O. A. Pankratov, and A. V. Sazonov, Zh. Eksp. Teor. Fiz. 85, 1395 (1983) [Sov. Phys. JETP 58, 809 (1983)].
27. B. A. Volkov, O. A. Pankratov, and A. V. Sazonov, Zh. Eksp. Teor. Fiz. 85, 1395 (1983) [Sov. Phys. JETP 58, 809 (1983)].