A002165 High temperature series for spin-1/2 Heisenberg specific heat on 3-dimensional f.c.c. lattice.

0, 18, 108, 180, -5040, 162000, 14565600, 563253408, 17544639744, 750412309248, 56646776913408, 4973976625190400, 421817449494804480

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.
• Index entries for sequences related to f.c.c. lattice
• Index entries for sequences related to specific heat

Crossrefs

Cf. A002169 (cubic), A002167 (b.c.c.); A002166 (susceptibility).

Extensions

Better description from Steven Finch

a(10) corrected, a(11)-a(12) added from Oitmaa and Bornilla by Andrey Zabolotskiy, Oct 20 2021

a(13) from Gonzalez et al. added by Andrey Zabolotskiy, May 06 2023