A002910
High-temperature series in v = tanh(J/kT) for susceptibility for the Ising model on honeycomb structure.
Original entry on oeis.org
1, 3, 6, 12, 24, 48, 90, 168, 318, 600, 1098, 2004, 3696, 6792, 12270, 22140, 40224, 72888, 130650, 234012, 421176, 756624, 1348998, 2403840, 4299018, 7677840, 13635630, 24206220, 43092888, 76635984, 135698970, 240199320, 426144654, 755420328, 1334488074
Offset: 0
- C. Domb, Ising model, in Phase Transitions and Critical Phenomena, vol. 3, ed. C. Domb and M. S. Green, Academic Press, 1974; p. 380.
- N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
- N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
- Y. Chan, A. J. Guttmann, B. G. Nickel, J. H. H. Perk, The Ising Susceptibility Scaling Function, J Stat Phys 145 (2011), 549-590; arXiv:1012.5272 [cond-mat.stat-mech], 2010-2020. Gives 639 terms in the file Honeycomb_v638.txt.
- C. Domb, Ising model, Phase Transitions and Critical Phenomena 3 (1974), 257, 380-381, 384-387, 390-391, 412-423. (Annotated scanned copy)
- M. F. Sykes, Some counting theorems in the theory of the Ising problem and the excluded volume problem, J. Math. Phys., 2 (1961), 52-62.
- M. F. Sykes and M. E. Fisher, Antiferromagnetic susceptibility of the plane square and honeycomb Ising lattices, Physica, 28 (1962), 919-938.
- M. F. Sykes, D. G. Gaunt, P. D. Roberts and J. A. Wyles, High temperature series for the susceptibility of the Ising model, I. Two dimensional lattices, J. Phys. A 5 (1972) 624-639.
A002912
Low-temperature series in z = exp(-2J/kT) for ferromagnetic susceptibility for the Ising model on honeycomb structure.
Original entry on oeis.org
0, 0, 1, 6, 27, 122, 516, 2148, 8792, 35622, 143079, 570830, 2264649, 8942436, 35169616, 137839308, 538594704, 2098892928, 8159937669, 31656305550, 122575164923, 473797120338, 1828512928200, 7046581314292, 27119735418924, 104247226432566, 400272672674603
Offset: 1
- C. Domb, Ising model, in Phase Transitions and Critical Phenomena, vol. 3, ed. C. Domb and M. S. Green, Academic Press, 1974; p. 421.
- N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
- N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
- Y. Chan, A. J. Guttmann, B. G. Nickel, J. H. H. Perk, The Ising Susceptibility Scaling Function, J Stat Phys 145 (2011), 549-590; arXiv:1012.5272 [cond-mat.stat-mech], 2010-2020. Gives 641 term in the file Honeycomb_z641.txt (divide by 4 to get this sequence).
- C. Domb, Ising model, Phase Transitions and Critical Phenomena 3 (1974), 257, 380-381, 384-387, 390-391, 412-423. (Annotated scanned copy)
- J. W. Essam and M. E. Fisher, Padé approximant studies of the lattice gas and Ising ferromagnet below the critical point, J. Chem. Phys., 38 (1963), 802-812.
- M. F. Sykes and M. E. Fisher, Antiferromagnetic susceptibility of the plane square and honeycomb Ising lattices, Physica, 28 (1962), 919-938.
A002979
Low-temperature series in exp(4J/kT) for antiferromagnetic susceptibility for the Ising model on square lattice.
Original entry on oeis.org
0, 4, 0, 16, 32, 156, 608, 2688, 12064, 55956, 266656
Offset: 1
- N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
A007214
Low temperature antiferromagnetic susceptibility for honeycomb lattice.
Original entry on oeis.org
1, 0, 3, 2, 12, 24, 80, 222, 687, 2096, 6585, 20892, 67216, 218412, 716304, 2367696, 7881381, 26398728, 88918451, 301014786, 1023681792, 3495786472, 11983194420, 41220422022, 142247592803, 492339048156, 1708741395441, 5945617039980, 20737219258440, 72488490389592
Offset: 0
- C. Domb, Ising model, in Phase Transitions and Critical Phenomena, vol. 3, ed. C. Domb and M. S. Green, Academic Press, 1974; p. 421.
- N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
- L. J. De Jongh (Ed.), Magnetic Properties of Layered Transition Metal Compounds, Kluwer Academic, Dordrecht, 1989, page 175. [Gives incorrect a(14)-a(18): they actually belong to A002978, i.e. differ by a factor of 4.]
- C. Domb, Ising model, Phase Transitions and Critical Phenomena 3 (1974), 257, 380-381, 384-387, 390-391, 412-423. (Annotated scanned copy)
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