XY frustrated systems: Continuous exponents in discontinuous phase transitions

Physical Review B - Condensed Matter and Materials Physics

Volumn 67, Issue 13, 2003, Pages 1344221-13442211

  Tissier, M ^a   Delamotte, B ^b   Mouhanna, D ^b  

^a UNIVERSITÉ PARIS SUD   (France)

^b LPTHE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; MAGNET; PHASE TRANSITION; PHYSICS; QUALITATIVE ANALYSIS; QUANTITATIVE ANALYSIS; XY FRUSTRATED MAGNET;

EID: 0038778454     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (46)

1. Magnetic Systems with Competing Interactions edited by H. Diep (World Scientific, Singapore, 1994).
2. A. Pelissetto, P. Rossi, and E. Vicari, Phys. Rev. B 63, 140414 (2001).
3. A. Pelissetto and E. Vicari, Phys. Rep. 368, 549 (2002).
4. M. Tissier, B. Delamotte, and D. Mouhanna, Phys. Rev. Lett. 84, 5208 (2000).
5. M. Tissier, B. Delamotte, and D. Mouhanna (unpublished).
6. G. Zumbach, Nucl. Phys. B 413, 771 (1994).
7. M. Yosefin and E. Domany, Phys. Rev. B 32, 1778 (1985).
8. H. Kawamura, Phys. Rev. B 38, 4916 (1988).
9. T. Garel and P. Pfeuty, J. Phys. C 9, L245 (1976).
10. F. Pérez, T. Werner, J. Wosnitza, H. von Löhneysen, and H. Tanaka, Phys. Rev. B 58, 9316 (1998).
11. M.F. Collins and O.A. Petrenko, Can. J. Phys. 75, 605 (1997).
12. V.P. Plakhty, J. Kulda, D. Visser, E.V. Moskvin, and J. Wosnitza, Phys. Rev. Lett. 85, 3942 (2000).
13. P. de V. Du Plessis, A.M. Venter, and G.H.F. Brits, J. Phys.: Condens. Matter 7, 9863 (1995).
14. R. Deutschmann, H. von Löhneysen, J. Wosnitza, R.K. Kremer, and D. Visser, Europhys. Lett. 17, 637 (1992).
15. D. Loison and K.D. Schotte, Eur. Phys. J. B 5, 735 (1998).
16. H.B. Weber, T. Werner, J. Wosnitza, H. von Löhneysen, and U. Schotte, Phys. Rev. B 54, 15 924 (1996).
17. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena 3rd ed. (Oxford University Press, New York, 1989), pp. 151 and 578.
18. H. Kawamura, J. Phys. Soc. Jpn. 61, 1299 (1992).
19. M.L. Plumer and A. Mailhot, Phys. Rev. B 50, 16 113 (1994).
20. E.H. Boubeheur, D. Loison, and H.T. Diep, Phys. Rev. B 54, 4165 (1996).
21. M. Itakura, J. Phys. Soc. Jpn. 72, 74 (2003).
22. D.T.R. Jones, A. Love, and M.A. Moore, J. Phys. C 9, 743 (1976).
23. P. Bak, S. Krinsky, and D. Mukamel, Phys. Rev. Lett. 36, 52 (1976).
24. A. Pelissetto, P. Rossi, and E. Vicari, Nucl. Phys. B: Field Theory Stat. Syst. 607[FS], 605 (2001).
25. S.A. Antonenko and A.I. Sokolov, Phys. Rev. B 49, 15 901 (1994).
26. S.A. Antonenko, A.I. Sokolov, and V.B. Varnashev, Phys. Lett. A 208, 161 (1995).
27. L.P. Kadanoff, Physics (Long Island City, N,Y.) 2, 263 (1966).
28. K.G. Wilson and J. Kogut, Phys. Rep. C 12, 75 (1974).
29. C. Wetterich, Phys. Lett. B 301, 90 (1993).
30. U. Ellwanger, Z. Phys. C 62, 503 (1994).
31. T.R. Morris, Int. J. Mod. Phys. A 9, 2411 (1994).
32. N. Tetradis and C. Wetterich, Nucl. Phys. B: Field Theory Stat. Syst. 422[FS], 541 (1994).
33. D. Litim, Phys. Lett. B 486, 92 (2000).
34. J. Berges, N. Tetradis, and C. Wetterich, Phys. Rep. 363, 223 (2002).
35. C. Bagnuls and C. Bervillier. Phys. Rep. 348, 91 (2001).
36. P. Azaria, B. Delamotte, F. Delduc, and T. Jolicceur, Nucl. Phys. B: Field Theory Stat. Syst. 408[FS], 485 (1993).
37. D. Loison, A. Sokolov, B. Delamotte, S.A. Antonenko, K.D. Schotte, and H.T. Diep, JETP Lett. 72, 337 (2000).
38. G. Zumbach, Phys. Rev. Lett. 71, 2421 (1993).
39. J. Polchinski, Nucl. Phys. B 231, 269 (1984).
40. A. Mailhot, M.L. Plumer, and A. Caillé, Phys. Rev. B 50, 6854 (1994).
41. D. Loison and K.D. Schotte, Eur. Phys. J. B 14, 125 (2000).
42. H.W. Blöte, E. Luijten, and J.R. Heringa, J. Phys. A 28, 6289 (1995).
43. As usual, we consider the extension to the continuum of the discrete symmetry group of the lattice.
44. In the ferromagnetic Ising case, for instance, it is probable that neglecting these corrections to scaling does not affect much the determination of the exponents but is a possible source of underestimations of the error bars when they are announced to be of order of 1% or less (see Ref. 42).
45. P. Calabrese, P. Parruccini, and A. I. Sokolov, Phys. Rev. B 66, 180403(R) (2002).
46. P. Calabrese, E. V. Orlov, P. Parruccini, and A. I. Sokolov, Phys. Rev. B 67, 024413 (2003).