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Volumn 86, Issue 1, 2012, Pages

Yang-Lee edge singularities from extended activity expansions of the dimer density for bipartite lattices of dimensionality 2≤d≤7

Author keywords

[No Author keywords available]

Indexed keywords

BIPARTITE LATTICES; BODY-CENTERED CUBIC; BRANCHED POLYMER; DATA YIELDS; EDGE SINGULARITIES; FERROMAGNETIC SPIN MODEL; LATTICE ANIMALS; SERIES EXPANSION;

EID: 84863908488     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.86.011104     Document Type: Article
Times cited : (22)

References (52)
  • 1
    • 36149023450 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.87.404
    • C. N. Yang and T. D. Lee, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.87.404 87, 404 (1952).
    • (1952) Phys. Rev. , vol.87 , pp. 404
    • Yang, C.N.1    Lee, T.D.2
  • 2
    • 0000704106 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.87.410
    • T. D. Lee and C. N. Yang, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.87.410 87, 410 (1952).
    • (1952) Phys. Rev. , vol.87 , pp. 410
    • Lee, T.D.1    Yang, C.N.2
  • 3
    • 0040074163 scopus 로고
    • JMAPAQ 0022-2488 10.1063/1.1665005
    • R. B. Griffiths, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1665005 10, 1559 (1969).
    • (1969) J. Math. Phys. , vol.10 , pp. 1559
    • Griffiths, R.B.1
  • 4
    • 0000217639 scopus 로고
    • CMPHAY 0010-3616 10.1007/BF01609827
    • F. Dunlop and C. M. Newman, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01609827 44, 223 (1975).
    • (1975) Commun. Math. Phys. , vol.44 , pp. 223
    • Dunlop, F.1    Newman, C.M.2
  • 5
    • 28144449781 scopus 로고
    • JSTPBS 0022-4715 10.1007/BF01020342
    • C. M. Newman, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01020342 15, 399 (1976).
    • (1976) J. Stat. Phys. , vol.15 , pp. 399
    • Newman, C.M.1
  • 6
    • 0000888415 scopus 로고
    • CMPHAY 0010-3616 10.1007/BF01213009
    • E. H. Lieb and A. D. Sokal, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01213009 80, 153 (1981).
    • (1981) Commun. Math. Phys. , vol.80 , pp. 153
    • Lieb, E.H.1    Sokal, A.D.2
  • 7
    • 4243191411 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.27.1439
    • P. J. Kortman and R. B. Griffiths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.27.1439 27, 1439 (1971).
    • (1971) Phys. Rev. Lett. , vol.27 , pp. 1439
    • Kortman, P.J.1    Griffiths, R.B.2
  • 8
    • 4243157424 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.40.1610
    • M. E. Fisher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.40. 1610 40, 1610 (1978).
    • (1978) Phys. Rev. Lett. , vol.40 , pp. 1610
    • Fisher, M.E.1
  • 10
    • 0021425642 scopus 로고
    • JSTPBS 0022-4715 10.1007/BF01014388
    • D. Poland, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01014388 35, 341 (1984).
    • (1984) J. Stat. Phys. , vol.35 , pp. 341
    • Poland, D.1
  • 11
    • 0011976061 scopus 로고
    • 1050-2947 10.1103/PhysRevA.36.760
    • A. Baram and M. Luban, Phys. Rev. A 1050-2947 10.1103/PhysRevA.36.760 36, 760 (1987).
    • (1987) Phys. Rev. A , vol.36 , pp. 760
    • Baram, A.1    Luban, M.2
  • 12
    • 0000939237 scopus 로고
    • JCPSA6 0021-9606 10.1063/1.470178
    • S. N. Lai and M. E. Fisher, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.470178 103, 8144 (1995).
    • (1995) J. Chem. Phys. , vol.103 , pp. 8144
    • Lai, S.N.1    Fisher, M.E.2
  • 13
    • 0000067632 scopus 로고    scopus 로고
    • 1539-3755 10.1103/PhysRevE.60.6323
    • Y. Park and M. E. Fisher, Phys. Rev. E 1539-3755 10.1103/PhysRevE.60.6323 60, 6323 (1999).
    • (1999) Phys. Rev. e , vol.60 , pp. 6323
    • Park, Y.1    Fisher, M.E.2
  • 15
    • 84859530776 scopus 로고    scopus 로고
    • in edited by A. J. Guttmann, Lecture Notes in Physics Vol. 775 (Springer, New York
    • A. J. Guttmann, in Polygons, Polyominoes and Polycubes, edited by, A. J. Guttmann, Lecture Notes in Physics Vol. 775 (Springer, New York, 2009).
    • (2009) Polygons, Polyominoes and Polycubes
    • Guttmann, A.J.1
  • 16
    • 0003199471 scopus 로고
    • JPHAC5 0305-4470 10.1088/0305-4470/15/11/004
    • J. L. Cardy, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/15/11/004 15, L593 (1982).
    • (1982) J. Phys. A , vol.15 , pp. 593
    • Cardy, J.L.1
  • 17
    • 4243851869 scopus 로고
    • JPHAC5 0305-4470 10.1088/0305-4470/15/10/009
    • H. E. Stanley, S. Redner, and Z. R. Yang, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/15/10/009 15, L569 (1982).
    • (1982) J. Phys. A , vol.15 , pp. 569
    • Stanley, H.E.1    Redner, S.2    Yang, Z.R.3
  • 18
    • 0006327439 scopus 로고
    • ZPCMDN 0722-3277 10.1007/BF01305193
    • N. Breuer and H. K. Janssen, Z. Phys. B ZPCMDN 0722-3277 10.1007/BF01305193 48, 347 (1982).
    • (1982) Z. Phys. B , vol.48 , pp. 347
    • Breuer, N.1    Janssen, H.K.2
  • 19
    • 1842632424 scopus 로고    scopus 로고
    • Dimensional reduction for directed branched polymers
    • DOI 10.1088/0305-4470/37/12/L03, PII S030544700474490X
    • J. Z. Imbrie, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/37/12/L03 37, L137 (2004). (Pubitemid 38483032)
    • (2004) Journal of Physics A: Mathematical and General , vol.37 , Issue.12
    • Imbrie, J.Z.1
  • 20
    • 0001505046 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.46.871
    • G. Parisi and N. Sourlas, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.46.871 46, 871 (1981).
    • (1981) Phys. Rev. Lett. , vol.46 , pp. 871
    • Parisi, G.1    Sourlas, N.2
  • 21
    • 2842574379 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.41.829
    • T. C. Lubensky and J. Isaacson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.41.829 41, 829 (1978).
    • (1978) Phys. Rev. Lett. , vol.41 , pp. 829
    • Lubensky, T.C.1    Isaacson, J.2
  • 22
    • 0037276326 scopus 로고    scopus 로고
    • JSTPBS 0022-4715 10.1023/A:1022143331697
    • D. C. Brydges and J. Z. Imbrie, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1022143331697 110, 503 (2003).
    • (2003) J. Stat. Phys. , vol.110 , pp. 503
    • Brydges, D.C.1    Imbrie, J.Z.2
  • 23
    • 0019586363 scopus 로고
    • JOPQAG 0368-3842 10.1051/jphys:01981004202033100
    • T. C. Lubensky and A. Mc Kane, J. Phys. (France) Lett. JOPQAG 0368-3842 10.1051/jphys:01981004202033100 42, L331 (1981).
    • (1981) J. Phys. (France) Lett. , vol.42 , pp. 331
    • Lubensky, T.C.1    Mc Kane, A.2
  • 26
    • 80053524051 scopus 로고    scopus 로고
    • 1742-5468 10.1088/1742-5468/2011/09/P09026
    • S. Luther and S. Mertens, J. Stat. Mech. 1742-5468 10.1088/1742-5468/ 2011/09/P09026 (2011) P09026.
    • J. Stat. Mech. , vol.2011 , pp. 09026
    • Luther, S.1    Mertens, S.2
  • 27
    • 79960995577 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.83.054433
    • P. Butera and M. Pernici, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.054433 83, 054433 (2011).
    • (2011) Phys. Rev. B , vol.83 , pp. 054433
    • Butera, P.1    Pernici, M.2
  • 28
    • 84857598428 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.85.021105
    • P. Butera and M. Pernici, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.85.021105 85, 021105 (2012).
    • (2012) Phys. Rev. e , vol.85 , pp. 021105
    • Butera, P.1    Pernici, M.2
  • 29
    • 36049056879 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.179.174
    • D. S. Gaunt, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.179.174 179, 174 (1969).
    • (1969) Phys. Rev. , vol.179 , pp. 174
    • Gaunt, D.S.1
  • 30
    • 23344445644 scopus 로고
    • JAPIAU 0021-8979 10.1063/1.324991
    • G. A. Baker Jr. and P. Moussa, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.324991 49, 1360 (1978).
    • (1978) J. Appl. Phys. , vol.49 , pp. 1360
    • Baker, Jr.G.A.1    Moussa, P.2
  • 31
    • 0001015821 scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.20.2785
    • D. A. Kurtze and M. E. Fisher, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.20.2785 20, 2785 (1979).
    • (1979) Phys. Rev. B , vol.20 , pp. 2785
    • Kurtze, D.A.1    Fisher, M.E.2
  • 32
    • 0000199940 scopus 로고
    • CMPHAY 0010-3616 10.1007/BF01877590
    • O. J. Heilmann and E. H. Lieb, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01877590 25, 190 (1972).
    • (1972) Commun. Math. Phys. , vol.25 , pp. 190
    • Heilmann, O.J.1    Lieb, E.H.2
  • 33
    • 0000886046 scopus 로고
    • CMPHAY 0010-3616 10.1007/BF01651334
    • C. Gruber and H. Kunz, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01651334 22, 133 (1971).
    • (1971) Commun. Math. Phys. , vol.22 , pp. 133
    • Gruber, C.1    Kunz, H.2
  • 35
    • 0000485930 scopus 로고
    • CJPHAD 0008-4204 10.1139/p79-173
    • S. McKenzie, Can. J. Phys. CJPHAD 0008-4204 10.1139/p79-173 57, 1239 (1979).
    • (1979) Can. J. Phys. , vol.57 , pp. 1239
    • McKenzie, S.1
  • 36
    • 0001944678 scopus 로고
    • in edited by C. Domb and J. L. Lebowitz (Academic, New York
    • A. J. Guttmann, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic, New York, 1989), Vol. 13, p. 1.
    • (1989) Phase Transitions and Critical Phenomena , pp. 1
    • Guttmann, A.J.1
  • 37
    • 0000477528 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.54.1354
    • J. L. Cardy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.54. 1354 54, 1354 (1985).
    • (1985) Phys. Rev. Lett. , vol.54 , pp. 1354
    • Cardy, J.L.1
  • 38
    • 0008953763 scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.23.6037
    • R. Z. Roskies, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.23.6037 23, 6037 (1981).
    • (1981) Phys. Rev. B , vol.23 , pp. 6037
    • Roskies, R.Z.1
  • 39
    • 0032491338 scopus 로고    scopus 로고
    • Logarithmic corrections for spin glasses, percolation and Lee-Yang singularities in six dimensions
    • DOI 10.1088/0305-4470/31/44/006
    • J. J. Ruiz-Lorenzo, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/31/44/ 006 31, 8773 (1998). (Pubitemid 128156137)
    • (1998) Journal of Physics A: Mathematical and General , vol.31 , Issue.44 , pp. 8773-8788
    • Ruiz-Lorenzo, J.J.1
  • 41
    • 0011036407 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge
    • S. R. Finch, Mathematical Constants (Cambridge University Press, Cambridge, 2003).
    • (2003) Mathematical Constants
    • Finch, S.R.1
  • 42
    • 0000113399 scopus 로고
    • PHYSAG 0031-8914 10.1016/0031-8914(61)90063-5
    • P. W. Kasteleyn, Physica (Amsterdam) PHYSAG 0031-8914 10.1016/0031-8914(61)90063-5 27, 1209 (1961).
    • (1961) Physica (Amsterdam) , vol.27 , pp. 1209
    • Kasteleyn, P.W.1
  • 43
    • 84996204867 scopus 로고
    • PHMAA4 1478-6435 10.1080/14786436108243366
    • H. N. V. Temperley and M. E. Fisher, Philos. Mag. PHMAA4 1478-6435 10.1080/14786436108243366 6, 1061 (1961).
    • (1961) Philos. Mag. , vol.6 , pp. 1061
    • Temperley, H.N.V.1    Fisher, M.E.2
  • 44
    • 0001566238 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.124.1664
    • M. E. Fisher, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.124.1664 124, 1664 (1961).
    • (1961) Phys. Rev. , vol.124 , pp. 1664
    • Fisher, M.E.1
  • 45
    • 0000222002 scopus 로고
    • JMAPAQ 0022-2488 10.1063/1.1664623
    • R. J. Baxter, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1664623 9, 650 (1968).
    • (1968) J. Math. Phys. , vol.9 , pp. 650
    • Baxter, R.J.1
  • 46
    • 14844318558 scopus 로고    scopus 로고
    • Theory of computation of multidimensional entropy with an application to the monomer-dimer problem
    • DOI 10.1016/j.aam.2004.08.005, PII S0196885804001058
    • S. Friedland and U. N. Peled, Adv. Appl. Math. 0196-8858 10.1016/j.aam.2004.08.005 34, 486 (2005). (Pubitemid 40337313)
    • (2005) Advances in Applied Mathematics , vol.34 , Issue.3 , pp. 486-522
    • Friedland, S.1    Peled, U.N.2
  • 47
    • 22244484120 scopus 로고
    • JMAPAQ 0022-2488 10.1063/1.1665222
    • L. K. Runnels, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1665222 11, 842 (1970).
    • (1970) J. Math. Phys. , vol.11 , pp. 842
    • Runnels, L.K.1
  • 48
    • 0035396922 scopus 로고    scopus 로고
    • 1539-3755 10.1103/PhysRevE.64.016701
    • I. Beichl, D. P. O'Leary, and F. Sullivan, Phys. Rev. E 1539-3755 10.1103/PhysRevE.64.016701 64, 016701 (2001).
    • (2001) Phys. Rev. e , vol.64 , pp. 016701
    • Beichl, I.1    O'Leary, D.P.2    Sullivan, F.3
  • 49
    • 36049060609 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.152.190
    • J. F. Nagle, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.152.190 152, 190 (1966).
    • (1966) Phys. Rev. , vol.152 , pp. 190
    • Nagle, J.F.1
  • 51
    • 38349142168 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.77.016706
    • Y. Huo, H. Liang, S.-Q. Liu, and F. Bai, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.77.016706 77, 016706 (2008).
    • (2008) Phys. Rev. e , vol.77 , pp. 016706
    • Huo, Y.1    Liang, H.2    Liu, S.-Q.3    Bai, F.4


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