Third-harmonic exponent in three-dimensional N-vector models

Physical Review B - Condensed Matter and Materials Physics

Volumn 68, Issue 9, 2003, Pages

  De Prato, Martino ^a   Pelissetto, Andrea ^b   Vicari, Ettore ^c  

^a ROMA TRE UNIVERSITY   (Italy)

^b UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

^c UNIVERSITY OF PISA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; LIQUID CRYSTAL; MAGNETIC FIELD; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; PHASE TRANSITION;

EID: 0242362626     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.68.092403     Document Type: Article

References (33)

1. A. Pelissetto and E. Vicari, Phys. Rep. 368, 549 (2002).
2. J.D. Brock, A. Aharony, R.J. Birgeneau, K.W. Evans-Lutterodt, J.D. Litster, P.M. Horn, G.B. Stephenson, and A.R. Tajbakhsh, Phys. Rev. Lett. 57, 98 (1985).
3. A. Aharony, R.J. Birgeneau, J.D. Brock, and J.D. Litster, Phys. Rev. Lett. 57, 1012 (1986).
4. A. Aharony, R.J. Birgeneau, C.W. Garland, Y.-J. Kim, V.V. Lebedev, R.R. Netz, and M.J. Young, Phys. Rev. Lett. 74, 5064 (1995).
5. S.R. Andrews and H. Mashiyama, J. Phys. C 16, 4985 (1983).
6. G. Helgesen, J.P. Hill, T.R. Thurston, and D. Gibbs, Phys. Rev. B 52, 9446 (1995).
7. M.P. Zinkin, D.F. McMorrow, J.P. Hill, R.A. Cowley, J.-G. Lussier, A. Gibaud, G. Grübel, and C. Sutter, Phys. Rev. B 54, 3115 (1996).
8. P. Bak, Phys. Rev. Lett. 44, 889 (1980).
9. P. Calabrese, A. Pelissetto, and E. Vicari, Phys. Rev. E 65, 046115 (2002).
10. P. Calabrese, A. Pelissetto, and E. Vicari, Phys. Rev. B 67, 054505 (2003).
11. J.M. Carmona, A. Pelissetto, and E. Vicari, Phys. Rev. B 61, 15-136 (2000).
12. F.J. Wegner and A. Houghton, Phys. Rev. A 10, 435 (1974).
13. D.J. Wallace, in Phase Transitions and Critical Phenomena, edited by C. Domb and M. S. Green (Academic, New York, 1976), Vol. 6.
14. A. Aharony, K.A. Müller, and W. Berlinger, Phys. Rev. Lett. 38, 33 (1977).
15. D. Mukamel, M.E. Fisher, and E. Domany, Phys. Rev. Lett. 37, 565 (1976).
16. B.R. Heap, J. Math. Phys. 7, 1582 (1966).
17. B.G. Nickel, D.I. Meiron, and G.A. Baker Jr. (unpublished).
18. H. Kleinert and V. Schulte-Frohlinde, Critical Properties of φ4-Theories (World Scientific, Singapore, 2001).
19. D.J. Wallace and R.K.P. Zia, J. Phys. C 8, 839 (1975).
20. J.C. Le Guillou and J. Zinn-Justin, Phys. Rev. Lett. 39, 95 (1977);
21. J.C. Le Guillou J. Zinn-Justin Phys. Rev. B 21, 3976 (1980).
22. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena, 4th ed. (Clarendon, Oxford, 2001).
23. R. Guida and J. Zinn-Justin, J. Phys. A 31, 8103 (1998).
24. P. Butera and M. Comi, Phys. Rev. B 58, 11-552 (1998).
25. A. Pelissetto and E. Vicari, Nucl. Phys. B 575, 579 (2000)
26. M. Campostrini, M. Hasenbusch, A. Pelissetto, P. Rossi, and E. Vicari, Phys. Rev. B 63, 214503 (2001).
27. A. Pelissetto and E. Vicari, Nucl. Phys. B 519, 626 (1998).
28. P. Calabrese, M. Caselle, A. Celi, A. Pelissetto, and E. Vicari, J. Phys. A 33, 8155 (2000).
29. M. Caselle, A. Pelissetto, and E. Vicari, in Fluctuating Paths and Fields, edited by W. Janke, A.
30. J.E.G. Lipson, S.G. Whittington, M.K. Wilkinson, J.L. Martin, and D.S. Gaunt, J. Phys. A 18, L469 (1985);
31. D.S. Gaunt and T.C. Yu, J. Phys. A. 33, 1333 (2000).
32. M.S. Causo, S. Caracciolo, and A. Pelissetto, Phys. Rev. E 57, R1215 (1998).
33. M. Campostrini, M. Hasenbusch, A. Pelissetto, P. Rossi, and E. Vicari, Phys. Rev. B 65, 144520 (2002).