Hall effect of spin waves in frustrated magnets

Physical Review Letters

Volumn 103, Issue 4, 2009, Pages

  Fujimoto, Satoshi ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ANOMALOUS HALL EFFECTS; DEGREES OF FREEDOM; FRUSTRATED MAGNET; ITINERANT ELECTRON SYSTEM; LOCALIZED SPIN; LONGITUDINAL MAGNETIC FIELDS; MICROSCOPIC MODELS; PHASE EFFECTS; SEMICLASSICAL EQUATIONS; SPIN CHIRALITY; SPIN HALL EFFECT; SPIN SYSTEMS; SPINWAVE EXCITATION; TRANSVERSE SPIN CURRENTS;

CRYSTAL SYMMETRY; ELECTRIC CURRENTS; EQUATIONS OF MOTION; GYRATORS; HALL EFFECT; MAGNETS; MECHANICS; MULTILAYERS; SPIN DYNAMICS; SPIN WAVES; STEREOCHEMISTRY;

MAGNETIC FIELD EFFECTS;

EID: 68749084956     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.103.047203     Document Type: Article

References (40)

1. M.I. Dyakonov and V.I. Perel, Phys. Lett. A 35, 459 (1971); PYLAAG 0375-9601 10.1016/0375-9601(71)90196-4
2. J.E. Hirsch, Phys. Rev. Lett. 83, 1834 (1999); PRLTAO 0031-9007 10.1103/PhysRevLett.83.1834
3. S. Murakami, N. Nagaosa, and S.C. Zhang, Science 301, 1348 (2003); SCIEAS 0036-8075 10.1126/science.1087128
4. J. Sinova, Phys. Rev. Lett. 92, 126603 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.92.126603
5. J. Schliemann and D. Loss, Phys. Rev. B PRBMDO 0163-1829 69, 165315 (2004); 10.1103/PhysRevB.69.165315
6. J. Inoue, G.E. Bauer, and L.W. Molenkamp, Phys. Rev. B PRBMDO 1098-0121 70, 041303 (2004); 10.1103/PhysRevB.70.041303
7. E.G. Mishchenko, A.V. Shytov, and B.I. Halperin, Phys. Rev. Lett. 93, 226602 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.93.226602
8. H.A. Engel, B.I. Halperin, and E.I. Rashba, Phys. Rev. Lett. 95, 166605 (2005); PRLTAO 0031-9007 10.1103/PhysRevLett.95.166605
9. M.I. Dyakonov, Phys. Rev. Lett. 99, 126601 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.126601
10. Y. Kato, Science 306, 1910 (2004); SCIEAS 0036-8075 10.1126/science. 1105514
11. S.O. Valenzuela and M. Tinkham, Nature (London) NATUAS 0028-0836 442, 176 (2006). 10.1038/nature04937
12. G. Sundaram and Q. Niu, Phys. Rev. B PRBMDO 0163-1829 59, 14915 (1999). 10.1103/PhysRevB.59.14915
13. M.C. Chung and Q. Niu, Phys. Rev. B PRBMDO 0163-1829 53, 7010 (1996). 10.1103/PhysRevB.53.7010
14. T. Jungwirth, Q. Niu, and A.H. MacDonald, Phys. Rev. Lett. 88, 207208 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.88.207208
15. F.D.M. Haldane, Phys. Rev. Lett. 93, 206602 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.206602
16. R. Karplus and J.M. Luttinger, Phys. Rev. 95, 1154 (1954); PHRVAO 0031-899X 10.1103/PhysRev.95.1154
17. J.M. Luttinger, Phys. Rev. 112, 739 (1958). PHRVAO 0031-899X 10.1103/PhysRev.112.739
18. J. Ye, Phys. Rev. Lett. 83, 3737 (1999); PRLTAO 0031-9007 10.1103/PhysRevLett.83.3737
19. K. Ohgushi, S. Murakami, and N. Nagaosa, Phys. Rev. B PRBMDO 0163-1829 62, R6065 (2000); 10.1103/PhysRevB.62.R6065
20. Y. Taguchi, Science 291, 2573 (2001); SCIEAS 0036-8075 10.1126/science.1058161
21. H. Kawamura, Phys. Rev. Lett. 90, 047202 (2003); PRLTAO 0031-9007 10.1103/PhysRevLett.90.047202
22. M. Taillefumier, Phys. Rev. B PRBMDO 1098-0121 74, 085105 (2006). 10.1103/PhysRevB.74.085105
23. D. Loss, P. Goldbart, and A.V. Balatsky, Phys. Rev. Lett. 65, 1655 (1990); PRLTAO 0031-9007 10.1103/PhysRevLett.65.1655
24. A.V. Balatsky and B.L. Altshuler, Phys. Rev. Lett. 70, 1678 (1993); PRLTAO 0031-9007 10.1103/PhysRevLett.70.1678
25. X.-C. Gao and T.-Z. Qian, Phys. Rev. B PRBMDO 0163-1829 47, 7128 (1993); 10.1103/PhysRevB.47.7128
26. F. Schütz, M. Kollar, and P. Kopietz, Phys. Rev. Lett. 91, 017205 (2003); PRLTAO 0031-9007 10.1103/PhysRevLett.91.017205
27. J. Heurich, J. König, and A.H. MacDonald, Phys. Rev. B PRBMDO 0163-1829 68, 064406 (2003); 10.1103/PhysRevB.68.064406
28. I.G. Bostrem, J. Kishine, and A.S. Ovchinnikov, Phys. Rev. B PRBMDO 1098-0121 78, 064425 (2008). 10.1103/PhysRevB.78.064425
29. F. Meier and D. Loss, Phys. Rev. Lett. 90, 167204 (2003). Also, in this paper, a mechanism of the SHE in spin systems is proposed that is quite different from that considered in this Letter. PRLTAO 0031-9007 10.1103/PhysRevLett.90.167204
30. M. Büttiker, Y. Imry, and R. Landauer, Phys. Lett. A 96, 365 (1983); PYLAAG 0375-9601 10.1016/0375-9601(83)90011-7
31. B.S. Shastry and B. Sutherland, Phys. Rev. Lett. 65, 243 (1990); PRLTAO 0031-9007 10.1103/PhysRevLett.65.243
32. S. Fujimoto and N. Kawakami, Phys. Rev. B PRBMDO 0163-1829 48, 17406 (1993). 10.1103/PhysRevB.48.17406
33. F.D.M. Haldane and D.P. Arovas, Phys. Rev. B PRBMDO 0163-1829 52, 4223 (1995). 10.1103/PhysRevB.52.4223
34. M. Yamashita, Nature Phys. 5, 44 (2009). NPAHAX 1745-2481 10.1038/nphys1134
35. A similar topologically induced transverse force which acts on magnetic bubbles in ferromagnets is known to exist. See, e.g., A.P. Malozemoff and J.C. Sloncewski, Magnetic Domain Walls in Bubble Materials (Academic, New York, 1979);
36. F.H. de Leeuw, R. van den Doel, and U. Enz, Rep. Prog. Phys. 43, 689 (1980). RPPHAG 0034-4885 10.1088/0034-4885/43/6/001
37. F.D.M. Haldane, Phys. Lett. A 93, 464 (1983). PYLAAG 0375-9601 10.1016/0375-9601(83)90631-X
38. E.I. Blount, in Solid State Physics, edited by, F. Seiz, and, D. Turnbull, (Academic, New York, 1962), Vol. 13, p. 305.
39. S.J. Miyake, J. Phys. Soc. Jpn. 61, 983 (1992); JUPSAU 0031-9015 10.1143/JPSJ.61.983
40. A.V. Chubukov, S. Sachdev, and T. Senthil, J. Phys. Condens. Matter JCOMEL 0953-8984 6, 8891 (1994). 10.1088/0953-8984/6/42/019