Chiral phase transitions: Focus driven critical behavior in systems with planar and vector ordering

Physical Review B - Condensed Matter and Materials Physics

Volumn 66, Issue 18, 2002, Pages 1-4

  Calabrese, P ^a   Parruccini, P ^b   Sokolov, A I ^a,c  

^a INFN SEZIONE DI PISA   (Italy)

^b UNIVERSITY OF PISA   (Italy)

^c SAINT PETERSBURG ELECTROTECHNICAL UNIVERSITY LETI   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85038283274     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.66.180403     Document Type: Article

References (41)

1. H. Kawamura, J. Phys.: Condens. Matter 10, 4707 (1998).
2. M.F. Collins and O.A. Petrenko, Can. J. Phys. 75, 605 (1997).
3. A. Pelissetto and E. Vicari, Phys. Rep. 368, 549 (2002).
4. D. Loison, A.I. Sokolov, B. Delamotte, S.A. Antonenko, K.D. Schotte, and H.T. Diep, JETP Lett. 72, 337 (2000).
5. M. Tissier, B. Delamotte, and D. Mouhanna, Phys. Rev. Lett. 84, 5208 (2000);
6. M. Tissier, D. Mouhanna, and B. Delamotte, Phys. Rev. B 61, 15327 (2000);
7. M. Tissier, B. Delamotte, and D. Mouhanna, (unpublished).
8. A. Pelissetto, P. Rossi, and E. Vicari, Phys. Rev. B 63, 140414(R) (2001).
9. A. Pelissetto, P. Rossi, and E. Vicari, Nucl. Phys. B 607, 605 (2001).
10. A. Pelissetto, P. Rossi, and E. Vicari, Phys. Rev. B 65, 020403(R) (2002).
11. M. Itakura, (unpublished).
12. P. Calabrese and P. Parruccini, Phys. Rev. B 64, 184408 (2001).
13. G. Ramirez-Santiago and J.V. José, Phys. Rev. Lett. 68, 1224 (1992);
14. G. Ramirez-Santiago, J.V. JoséPhys. Rev. B 49, 9567 (1994);
15. J.V. José and G. Ramirez-Santiago, Phys. Rev. Lett. 77, 4849 (1996).
16. P. Olsson, Phys. Rev. Lett. 75, 2758 (1995);
17. Phys. Rev. Lett.P. Olsson77, 4850 (1996);
18. P. OlssonPhys. Rev. B 55, 3585 (1997).
19. V.I. Marconi and D. Domínguez, Phys. Rev. Lett. 87, 017004 (2001).
20. G. Franzese, V. Cataudella, S.E. Korshunov, and R. Fazio, Phys. Rev. B 62, R9287 (2000).
21. W. Stephan and B.W. Southern, Phys. Rev. B 61, 11 514 (1999);
22. W. Stephan and B. W. Southern, cond-mat/0009115, Can. J. Phys. (to be published).
23. H. Kawamura, Phys. Rev. B 38, 4916 (1988);
24. Phys. Rev. BH. Kawamura42, 2610(E) (1990).
25. P. Azaria, B. Delamotte, and T. Jolicoeur, Phys. Rev. Lett. 64, 3175 (1990).
26. S.A. Antonenko and A.I. Sokolov, Phys. Rev. B 49, 15 901 (1994).
27. S.A. Antonenko, A.I. Sokolov, and K.B. Varnashev, Phys. Lett. A 208, 161 (1995).
28. V.P. Plakhty, J. Kulda, D. Visser, E.V. Moskvin, and J. Wosnitza, Phys. Rev. Lett. 85, 3942 (2000).
29. V.P. Plakhty, W. Schweika, Th. Brückel, J. Kulda, S.V. Gavrilov, L.-P. Regnault, and D. Visser, Phys. Rev. B 64, 100402(R) (2001).
30. M. Fiebig, C. Degenhard, and R.V. Pisarev, Phys. Rev. Lett. 88, 027203 (2002).
31. J.M. Carmona, A. Pelissetto, and E. Vicari, Phys. Rev. B 61, 15136 (2000).
32. A. Pelissetto and E. Vicari, Phys. Rev. B 62, 6393 (2000).
33. E.V. Orlov and A.I. Sokolov, Fiz. Tverd. Tela 42, 2087 (2000)
34. [Phys. Solid State 42, 2151 (2000)] and unpublished.
35. P. Calabrese, E.V. Orlov, P. Parruccini, and A.I. Sokolov, (unpublished).
36. J.C. Le Guillou and J. Zinn-Justin, Phys. Rev. Lett. 39, 95 (1977);
37. J.C. Le Guillou, J. Zinn-JustinPhys. Rev. B 21, 3976 (1980).
38. Big values of the imaginary parts found not only for three-dimensional, but also for two-dimensional systems make us sure that this result is not an artifact of the perturbative analysis and an account for nonanalytic contributions, clearly visible in two dimensions (Ref. 25), will not kill it. See P. Calabrese, M. Caselle, A. Celi, A. Pelissetto, and E. Vicari, J. Phys. A 33, 8155 (2000) and references therein for an explanation of the effects of nonanalyticities in the (formula presented) models.
39. We adopt here different rescalings for the four-point renormalized couplings in two and three dimensions; they coincide with those used in Refs. 10 and 6, respectively. Due to this difference, the shaded areas turns out to depend on the space dimensionality D. In these pictures the mean-field domain of first-order phase transitions are exactly two times larger than the shaded areas (formula presented) in the symmetric normalization of Ref. 10). Note that saying “the domain of the first-order phase transitions” we mean, as usually, the region where the quartic form in free energy expansion can acquire negative values. In fact, because of the presence of the higher-order terms in this expansion that make the system globally stable at any temperature, the true domains of the first-order transitions may be substantially more narrow than those predicted by the mean-field approximation.
40. A.L. Korzhenevskii and B.N. Shalaev, Zh. Éksp. Teor. Fiz. 76, 2166 (1979) [Sov. Phys. JETP 49, 1094 (1979)].
41. A.I. Sokolov, Zh. Éksp. Teor. Fiz. 77, 1598 (1979) [Sov. Phys. JETP 50, 802 (1979)].