Chirality correlation of spin solitons: Bloch walls, spin-1/2 solitons and holes in a 2D antiferromagnetic background

International Journal of Modern Physics B

Volumn 10, Issue 2, 1996, Pages 219-234

  Braun, Hans Benjamin ^a   Loss, Daniel ^a  

^a SIMON FRASER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000218454     PISSN: 02179792     EISSN: None     Source Type: Journal    
DOI: 10.1142/s021797929600009x     Document Type: Article

References (31)

1. For a review see, e.g., H.-J. Mikeska and M. Steiner, Adv. Phys. 40, 191 (1991).
2. Quantum Tunneling in Magnetism, eds. B. Barbara and L. Gunther (Kluwer ASI Series, 1995).
3. J. Villain, Physica B79, 1 (1975).
4. S. E. Nagler, W. J. L. Buyers, R. L. Armstrong and B. Briat, Phys. Rev. Lett. 49, 590 (1982); J. Appl. Phys. 55, 1856 (1984).
5. S. E. Nagler, W. J. L. Buyers, R. L. Armstrong and B. Briat, Phys. Rev. Lett. 49, 590 (1982); J. Appl. Phys. 55, 1856 (1984).
6. H. B. Braun and D. Loss, Europhys. Lett. 31, 555 (1995).
7. 8
8. F. D. M. Haldane, Phys. Rev. Lett. 50, 1153 (1983); I. Affleck, J. Phys. Cond. Mat. 1, 3047 (1989).
9. F. D. M. Haldane, Phys. Rev. Lett. 50, 1153 (1983); I. Affleck, J. Phys. Cond. Mat. 1, 3047 (1989).
10. D. Loss and D. L. Maslov, Phys. Rev. Lett. 74, 178 (1995).
11. (a) B. O. Wells, Z.-X. Shen, A. Matsuura, D. M. King, M. A. Kastner, M. Greven and R. J. Birgeneau, Phys. Rev. Lett. 74, 964 (1995)
12. (b) Z.-X. Shen, W. E. Spicer, D. M. King, D. S. Dessau and B. O. Wells, Science 267, 343 (1995).
13. E. Fradkin, Field Theories of Condensed Matter Systems, (Addison-Wesley, Redwood-City, 1991).
14. D. Loss, D. DiVincenzo and G. Grinstein, Phys. Rev. Lett. 69, 3233 (1992).
15. J. van Delft and C. Henley, Phys. Rev. Lett. 69, 3237 (1992).
16. x transform odd under C and P.
17. B. Sakita, Quantum Theory of Many Variable Systems and Fields (World Scientific, Singapore 1985).
18. Strictly speaking, periodic boundary conditions require either a Möbius-band topology or a pair of π-solitons. In the latter case, the solitons can be regarded as independent objects since we are interested in the dilute limit.
19. H. B. Braun and D. Loss, J. Appl. Phys. 76, 6177 (1994); in Ref. 2; and Phys. Rev. B, in press.
20. H. B. Braun and D. Loss, J. Appl. Phys. 76, 6177 (1994); in Ref. 2; and Phys. Rev. B, in press.
21. In (3) we have chosen A such that the Dirac-string runs through the south pole. An equivalent gauge choice would be As · dn. = -(1 + cos θ)dφ. Both, the nonzero value of the chirality and the correlation between adjacent band minima are gauge independent. However, the correlation between sgn k and sgn C is a gauge artifact.
22. 3 term has now disappeared at the expense of a spin dependent potential of period 2α (which implies halving of the BZ).
23. Since the soliton is a compact object, chiral symmetry is only broken in a, finite space region with vanishing weight in the thermodynamic limit. This symmetry breaking is thus not associated with a phase transition with broken symmetry every-where (Elitzur's theorem is thus of no relevance here). Note that this fact and our definition of chirality are fundamentally different from the "chiral phase" discussed by X.-G. Wen, F. Wilczek and A. Zee, Phys. Rev. B39, 1141 (1989).
24. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Oxford Univ. Press, New York, 1993) ch. 39.2.
25. R. Rajaraman, Solitons and Instantons (North-Holland, Amsterdam, 1982).
26. D. D. Awschalom, J. F. Smyth, G. Grinstein, D. P. DiVincenzo and D. Loss, Phys. Rev. Lett. 68, 3092 (1992); ibid 71, 4279(E) (1993).
27. D. D. Awschalom, J. F. Smyth, G. Grinstein, D. P. DiVincenzo and D. Loss, Phys. Rev. Lett. 68, 3092 (1992); ibid 71, 4279(E) (1993).
28. B. Barbara and E. M. Chudnovsky, Phys. Lett. A145, 205 (1990); I. Krive and O. B. Zaslavskii, J. Phys.: CM 2, 9457 (1990).
29. B. Barbara and E. M. Chudnovsky, Phys. Lett. A145, 205 (1990); I. Krive and O. B. Zaslavskii, J. Phys.: CM 2, 9457 (1990).
30. H. B. Braun and O. Brodbeck, Phys. Rev. Lett. 70, 3335 (1993).
31. I. Affleck and B. Marston, Phys. Rev. B37, 3774 (1988).