A002165 High temperature series for spin-1/2 Heisenberg specific heat on 3-dimensional f.c.c. lattice. (Formerly M5057 N2187)

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

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..13.

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).

Sequence in context: A123595 A317461 A225219 * A008654 A060787 A019584

Adjacent sequences: A002162 A002163 A002164 * A002166 A002167 A002168

Keyword

sign,more

Author

N. J. A. Sloane

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

Status

approved