A002167 High temperature series for spin-1/2 Heisenberg specific heat on 3-dimensional b.c.c. lattice.

0, 12, -24, 168, 1440, 24480, -297024, 28017216, -533681664, 41156316672, -503287538688, 53001415916544, -1839416689004544, 246102905022713856, -9001661201883684864

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

Crossrefs

Cf. A002169 (cubic), A002165 (f.c.c.); A002168 (susceptibility).

Extensions

Better description from Steven Finch

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

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