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Volumn 67, Issue 5, 2003, Pages 545051-5450512

Multicritical phenomena in O(n1)⊕O(n2)-symmetric theories

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; ARTICLE; CALCULATION; CHEMICAL STRUCTURE; CONDUCTANCE; CONDUCTOR; MAGNETIC FIELD; MATHEMATICAL ANALYSIS; MONTE CARLO METHOD; PHYSICAL CHEMISTRY; THEORETICAL MODEL; THEORY;

EID: 0037301127     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (188)

References (89)
  • 9
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    • hep-ph/0003214 (unpublished)
    • S. Chandrasekharan, V. Chudnovsky, B. Schlittgen, and U.-J. Wiese, Nucl. Phys. B (Proc. Suppl.) 94, 449 (2001); S. Chandrasekharan and U.-J. Wiese, hep-ph/0003214 (unpublished).
    • Chandrasekharan, S.1    Wiese, U.-J.2
  • 10
    • 33646635245 scopus 로고    scopus 로고
    • note
    • The competing order parameters are the four-component order parameter for chiral symmetry breaking and the six-component order parameter for color symmetry breaking.
  • 17
    • 0001348177 scopus 로고
    • edited by C. Domb and M.S. Green (Academic Press, New York)
    • A. Aharony, in Phase Transitions and Critical Phenomena, edited by C. Domb and M.S. Green (Academic Press, New York, 1976), Vol. 6, p. 357.
    • (1976) Phase Transitions and Critical Phenomena , vol.6 , pp. 357
    • Aharony, A.1
  • 20
    • 33646611400 scopus 로고    scopus 로고
    • cond-mat/0201576 (unpublished)
    • A. Aharony, cond-mat/0201576 (unpublished).
    • Aharony, A.1
  • 34
    • 33646603990 scopus 로고    scopus 로고
    • note
    • -x where x=10/(26×0.15)∼2.6. Taking into account that this is a very rough estimate, which may easily miss one order of magnitude, one cannot exclude the possibility of observing experimentally and numerically the unstable flow towards the eventual critical behavior, even in systems with a moderately small breaking of the O(5) symmetry at the multicritical point.
  • 36
    • 0034312557 scopus 로고    scopus 로고
    • E. Arrigoni and W. Hanke, Phys. Rev. Lett. 82, 2115 (1999); Phys. Rev. B 62, 11 770 (2000).
    • (2000) Phys. Rev. B , vol.62 , pp. 11770
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    • 33744561898 scopus 로고
    • H. Kleinert, J. Neu, V. Schulte-Frohlinde, K.G. Chetyrkin, and S.A. Larin, Phys. Lett. B 272, 39 (1991); 319, 545(E) (1993).
    • (1993) Phys. Lett. B , vol.319
  • 46
    • 33750104343 scopus 로고
    • J.C. Le Guillou and J. Zinn-Justin, Phys. Rev. Lett. 39, 95 (1977); Phys. Rev. B 21, 3976 (1980).
    • (1980) Phys. Rev. B , vol.21 , pp. 3976
  • 64
    • 0001598632 scopus 로고
    • In order to obtain field-theory estimates of the critical exponents for the three-dimensional O(5) universality class, we analyzed the available six-loop fixed-dimension expansions reported in S.A. Antonenko and A.I. Sokolov, Phys. Rev. E 51, 1894 (1995) and the five-loop ε expansions reported in Refs. 39 and 40. Using the conformal mapping method (Ref. 42), we obtained v=0.762(7), η=0.034(4) from the fixed-dimension expansion and v=0.75(2), η=0.033(3) from the ε expansion.
    • (1995) Phys. Rev. E , vol.51 , pp. 1894
    • Antonenko, S.A.1    Sokolov, A.I.2
  • 66
    • 0036025983 scopus 로고    scopus 로고
    • P. Calabrese, A. Pelissetto, and E. Vicari, Phys. Rev. B 67, 024418 (2003); Acta Phys. Slov. 52, 311 (2002).
    • (2002) Acta Phys. Slov. , vol.52 , pp. 311
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    • note
    • 2=2.
  • 86
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    • note
    • The projected SO(5) model (Ref. 6) was introduced to overcome some inconsistencies between the original SO(5) theory and the physics of the Mott insulating gap.


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