A002169 High temperature series for spin-1/2 Heisenberg specific heat on 3-dimensional simple cubic lattice. (Formerly M4602 N1963)

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

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..17.

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).

Sequence in context: A050250 A080453 A222811 * A050685 A278588 A133361

Adjacent sequences: A002166 A002167 A002168 * A002170 A002171 A002172

Keyword

sign,more

Author

N. J. A. Sloane

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

Status

approved