A002168 High-temperature series for spin-1/2 Heisenberg susceptibility on b.c.c. lattice. (Formerly M4566 N1943)

1, 8, 96, 1664, 36800, 1008768, 32626560, 1221399040, 51734584320, 2459086364672, 129082499311616, 7432690738003968, 464885622793134080, 31456185663820136448, 2284815238218471260160, 177611252880786297913344

Offset

0,2

References

Jaan Oitmaa, Chris Hamer and Weihong Zheng, Series expansion methods for strongly interacting lattice models, Cambridge University Press, 2006. See Table 7.8.

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=0..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 VI; b_n = a(n)*(-1)^n/2.

Index entries for sequences related to b.c.c. lattice

Crossrefs

Cf. A002167 (specific heat, or free energy).

Sequence in context: A220285 A052570 A034177 * A114425 A224767 A360548

Adjacent sequences: A002165 A002166 A002167 * A002169 A002170 A002171

Keyword

nonn,more

Author

N. J. A. Sloane

Extensions

a(0) and a(11)-a(14) from Oitmaa et al. added by Andrey Zabolotskiy, Oct 18 2021

Name clarified, a(15) from Gonzalez et al. added by Andrey Zabolotskiy, May 10 2023

Status

approved