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Volumn 67, Issue 6, 2003, Pages 645031-645036

Pocket Monte Carlo algorithm for classical doped dimer models

Author keywords

[No Author keywords available]

Indexed keywords

DIMER; MONOMER;

EID: 0037301983     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (57)

References (31)
  • 4
    • 33646629137 scopus 로고    scopus 로고
    • note
    • This is in fact only true for each sector separately - see, e.g., Ref. 2.
  • 10
    • 0014799509 scopus 로고
    • O.J. Heilmann and E.H. Lieb, Phys. Rev. 24, 1412 (1970). These authors showed that the free energy of noninteracting monomer-dimer mixtures can be nonanalytical as a function of density and temperature only in the limit of vanishing density.
    • (1970) Phys. Rev. , vol.24 , pp. 1412
    • Heilmann, O.J.1    Lieb, E.H.2
  • 19
    • 0041883610 scopus 로고    scopus 로고
    • A. Buhot and W. Krauth, Phys. Rev. Lett. 80, 3787 (1998); Phys. Rev. E 59, 2939 (1999).
    • (1999) Phys. Rev. E , vol.59 , pp. 2939
  • 21
    • 0000219340 scopus 로고    scopus 로고
    • and in Ref. 11
    • The issue of ergodicity on the triangular lattice is discussed in C. Kenyon and E. Remila, Discrete Math. 152, 191 (1996) and in Ref. 11.
    • (1996) Discrete Math. , vol.152 , pp. 191
    • Kenyon, C.1    Remila, E.2
  • 23
    • 33646618973 scopus 로고    scopus 로고
    • to be published
    • Although an asymptotic form is missing, the monomer correlation function has been obtained recursively for finite distances in parallel with this work by P. Fendley, R. Moessner, and S. L. Sondhi, Phys. Rev. B (to be published).
    • Phys. Rev. B
    • Fendley, P.1    Moessner, R.2    Sondhi, S.L.3
  • 24
    • 33646633505 scopus 로고    scopus 로고
    • note
    • By conformal invariance, this form is strictly applicable only for an infinite strip of width L for a system with critical correlations.
  • 25
    • 33646626066 scopus 로고    scopus 로고
    • note
    • For these simulations, the initial seed of the pocket algorithm was chosen to be one of the monomers.
  • 26
    • 0000500746 scopus 로고
    • A monomer interaction of logarithmic nature at long distances appeared in the context of the quantum dimer model in L.B. Ioffe and A.I. Larkin, Phys. Rev. B 40, 6941 (1989).
    • (1989) Phys. Rev. B , vol.40 , pp. 6941
    • Ioffe, L.B.1    Larkin, A.I.2
  • 28
    • 0036109461 scopus 로고    scopus 로고
    • L. Samaj and B. Jancovici, J. Stat. Phys. 106, 301 (2002); 106, 323 (2002).
    • (2002) J. Stat. Phys. , vol.106 , pp. 323
  • 31
    • 0034896225 scopus 로고    scopus 로고
    • R. Moessner, S.L. Sondhi, and P. Chandra, Phys. Rev. Lett. 84, 4457 (2000); R. Moessner and S.L. Sondhi, Phys. Rev. B 63, 224401 (2001).
    • (2001) Phys. Rev. B , vol.63 , pp. 224401
    • Moessner, R.1    Sondhi, S.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.