A002169 High temperature series for spin-1/2 Heisenberg specific heat on 3-dimensional simple cubic lattice.

0, 9, -18, -162, 2520, 33192, -1019088, -7804944, 723961728, 2596523904, -856142090496, 6383648984832, 1356696930401280, -27667884260938752, -2908030732698175488, 122264703581556307968, 7238339805811283361792

Offset: 1

Author

N. J. A. Sloane

Keywords

• sign
• more

References

• 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).

Links

• G. A. Baker et al., High-temperature expansions for the spin-1/2 Heisenberg model, Phys. Rev., 164 (1967), 800-817.
• C. Domb and D. Wood, On high-temperature expansions for the Heisenberg model, Proc. Physical Soc., 86 (1965), 1-16.
• M. G. Gonzalez, B. Bernu, L. Pierre and L. Messio, Finite-temperature phase transitions in S=1/2 three-dimensional Heisenberg magnets from high-temperature series expansions, Phys. Rev. B 107 (2023), 235151; arXiv:2303.03135 [cond-mat.str-el], 2023. See Table V; a_n = a(n)*(-1)^n.
• J. Oitmaa and E. Bornilla, High-temperature-series study of the spin-1/2 Heisenberg ferromagnet, Phys. Rev. B, 53 (1996), 14228. See Table I and the note added in proof.
• Index entries for sequences related to specific heat
• Index entries for sequences related to cubic lattice

Crossrefs

Cf. A002165 (f.c.c.), A002167 (b.c.c.), A002922 (diamond), A005402 (square), A005402 (hexagonal); A002170 (susceptibility); A002916 (Ising).

Extensions

Better description from Steven Finch

a(11)-a(14) added from Oitmaa and Bornilla by Andrey Zabolotskiy, Oct 20 2021 and Feb 05 2022

a(15)-a(17) added from Gonzalez et al. by Andrey Zabolotskiy, May 06 2023