A002167 High temperature series for spin-1/2 Heisenberg specific heat on 3-dimensional b.c.c. lattice. (Formerly M4830 N2066)

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

Offset

1,2

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

Table of n, a(n) for n=1..15.

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).

Sequence in context: A056500 A056490 A130163 * A154268 A058994 A198808

Adjacent sequences: A002164 A002165 A002166 * A002168 A002169 A002170

Keyword

sign,more

Author

N. J. A. Sloane

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

Status

approved