Spin wave renormalization and thermally induced order in two-dimensional dipolar systems

Physics Essays

Volumn 9, Issue 4, 1996, Pages 609-616

  Whitehead, J P ^a  

^a MEMORIAL UNIVERSITY OF NEWFOUNDLAND   (Canada)

Author keywords

Energy gap; Ground state; Spin model; Zero energy modes

Indexed keywords

EID: 0030299755     PISSN: 08361398     EISSN: None     Source Type: Journal    
DOI: 10.4006/1.3029278     Document Type: Article

References (16)

1. Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122, 345 (1961); ibid. 124, 246 (1961).
2. Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122, 345 (1961); ibid. 124, 246 (1961).
3. J. Goldstone, Nuovo Cimento 19, 154 (1961).
4. H. Umezawa, H. Matsunioto, and M. Tachiki, Thermofield Dynamics and Condensed States (North-Holland, Amsterdam, 1982).
5. H. Umezawa, Nuovo Cimento 40, 450 (1965).
6. J.C. Ward, Phys. Rev. 78, 1824 (1950).
7. Y. Takahashi, Nuovo Cimento 6, 370 (1957).
8. L. Leplae, F. Mancini, and H. Umezawa, Phys. Rep. C 10, 152 (1974).
9. M. Wadati, H. Matsumoto, and H. Umezawa, Phys. Rev. B 18, 4077 (1978).
10. N.D. Mermin and H. Wagner, Phys. Rev. Lett. 17, 1133 (1966).
11. J.M. Kosterlitz and D.J. Thouless, J. Phys. C 6, 1181 (1973).
12. G.O. Zimmerman, A.K. Ibrahim, and F. Y. Wu, Phys. Rev. 37, 2059 (1988).
13. S. Prakash and C. L. Henley, Phys. Rev. B 42, 6574 (1990).
14. K. De'Bell, A.B. MacIsaac, I.N. Booth, and J.P. Whitehead, Phys. Rev. B, to be published (1996).
15. J. Tobochnik and G.V. Chester, Phys. Rev. B 20, 3761 (1979).
16. J.V. Jose, L.P. Kadanoff, S. Kirkpatrick, and D.R. Nelson, Phys. Rev. 16, 1217 (1977).