A002170 High temperature series for spin-1/2 Heisenberg susceptibility on 3-dimensional simple cubic lattice.

6, 48, 528, 7920, 149856, 3169248, 77046528, 2231209728, 71938507776, 2446325534208, 92886269386752, 3995799894239232, 180512165153832960, 8443006907441565696, 440473891771339603968, 25125124946211876962304, 1444211070518302580146176

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• 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 VI; b_n = a(n)*(-1)^n/2.
• M. D. Kuz'min, Extended high-temperature series for the Spin-1/2 Heisenberg ferromagnet, Phil. Mag. Lett., 99 (2019), 338-350; hal-02390804.

Crossrefs

Cf. A002169 (specific heat, or free energy).

Extensions

Better description from Steven Finch

a(11)-a(14) from Kuz'min added by Andrey Zabolotskiy, Oct 20 2021

a(15)-a(17) from Gonzalez et al. added by Andrey Zabolotskiy, May 10 2023