First Principles Calculation of Anomalous Hall Conductivity in Ferromagnetic bcc Fe

Physical Review Letters

Volumn 92, Issue 3, 2004, Pages 4-

  Yao, Yugui ^a,b,c   Kleinman, Leonard ^a   MacDonald, A H ^a   Sinova, Jairo ^a,d   Jungwirth, T ^a,e   Wang, Ding sheng ^c   Wang, Enge ^b,c   Niu, Qian ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

^c INSTITUTE OF PHYSICS   (China)

^d TEXAS A AND M UNIVERSITY   (United States)

^e INSTITUTE OF PHYSICS   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84869067539     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.92.037204     Document Type: Article

References (33)

1. The Hall Effect and Its Application, edited by C.L. Chien and C.R. Westgate (Plenum, New York, 1980).
2. E.H. Hall, Philos. Mag.PHMAA4 10, 301 (1880)
3. E.H. HallPhilos. Mag.PHMAA412, 157 (1881).
4. A.W. Smith and R.W. Sears, Phys. Rev. 34, 1466 (1929).10.1103/PhysRev.34.1466
5. Henri Leribaux, Phys. Rev. 150, 384 (1966).10.1103/PhysRev.150.384
6. R. Karplus and J.M. Luttinger, Phys. Rev. 95, 1154 (1954). It appears to us that there is an error in Eq. (2.18) of this paper, which depends on an arbitrary phase choice of the wave functions.10.1103/PhysRev.95.1154
7. J. Smit, Physica (Utrecht) 21, 877 (1955)
8. J. SmitPhysica (Utrecht)24, 39 (1958). In his criticism of Karplus and Luttinger, Smit attributed the anomalous velocity to a field induced polarization of the band by identifying (Formula presented) as the polarization. This physical interpretation is questionable in our opinion because of its gauge dependence.
9. L. Berger, Phys. Rev. B10.1103/PhysRevB.2.4559 2, 4559 (1970).
10. G. Sundaram and Q. Niu, Phys. Rev. B 59, 14?915 (1999).10.1103/PhysRevB.59.14915
11. The semiclassical formalism can also be applied to magnetic Bloch bands which incorporate a strong magnetic field; see Ming-Che Chang and Q. Niu, Phys. Rev. B 53, 7010 (1996).10.1103/PhysRevB.53.7010
12. This is distinct from the Berry phase effect in real space discussed in J. Ye et al, Phys. Rev. Lett. 83, 3737 (1999); 10.1103/PhysRevLett.83.3737
13. Y. Taguchi et al, Science 291, 2573 (2001); 10.1126/science.1058161
14. R. Shindou et al, Phys. Rev. Lett. 87, 116801 (2001).10.1103/PhysRevLett.87.116801
15. T. Jungwirth, Q. Niu, and A.H. MacDonald, Phys. Rev. Lett. 88, 207208 (2002).10.1103/PhysRevLett.88.207208
16. T. Jungwirth et al, Appl. Phys. Lett. 83, 320 (2003).10.1063/1.1590433
17. J.M. Luttinger, Phys. Rev. 112, 739 (1958).10.1103/PhysRev.112.739
18. D.J. Thouless, M. Kohmoto, M.P. Nightingale, and M. den Nijs, Phys. Rev. Lett. 49, 405 (1982).10.1103/PhysRevLett.49.405
19. D.J. Singh, Planewaves, Pseudopotentials and the LAPW Method (Kluwer Academic, Boston, 1994).
20. J.P. Perdew, K. Burke, and M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996); 10.1103/PhysRevLett.77.3865
21. J.P. PerdewK. BurkeM. ErnzerhofPhys. Rev. Lett.10.1103/PhysRevLett.78.139678, 1396(E) (1997).
22. P. Blaha et al, in WIEN2K, Karlheinz Schwarz, Technische Universität Wien, Austria, 2001.
23. H. Danan, A. Herr, and A.J.P. Meyer, J. Appl. Phys. 39, 669 (1968).
24. M. Singh, C.S. Wang, and J. Callaway, Phys. Rev. B10.1103/PhysRevB.11.287 11, 287 (1975).
25. H.J. Monkhorst and J.D. Park, Phys. Rev. B10.1103/PhysRevB.13.5188 13, 5188 (1976).
26. P.N. Dheer, Phys. Rev. 156, 637 (1967). It was found that (Formula presented) at room temperature, (Formula presented), and (Formula presented), yielding (Formula presented).10.1103/PhysRev.156.637
27. J. Sinova et al, Phys. Rev. B 67, 235203 (2003).10.1103/PhysRevB.67.235203
28. G.S. Krinchik and V.A. Artem’ev, Zh. Eksp. Teor. Fiz.ZETFA7 53, 1901 (1967)
29. G.S. KrinchikV.A. Artem’ev[Sov. Phys. JETP 26, 1080 (1967)].
30. N. Mainkar, D.A. Browne, and J. Callaway, Phys. Rev. B 53, 3692 (1996); 10.1103/PhysRevB.53.3692
31. G.Y. Guo and H. Ebert, Phys. Rev. B 51, 12?633 (1995).10.1103/PhysRevB.51.12633
32. I.V. Solovyev, Phys. Rev. B 67, 174406 (2003); 10.1103/PhysRevB.67.174406
33. Z. Fang et al, Science 302, 92 (2003).10.1126/science.1089408