A005402 High temperature series for spin-1/2 Heisenberg specific heat on 2D square lattice.

0, 6, -12, -84, 1200, 3120, -249312, 920928, 86274816, -1232035584, -40970012160, 1391730516480, 20983074318336, -1798371774277632, -1850681724997632, 2713439169345073152, -40045819902128750592, -4625352042615223025664, 171173842584165886328832, 8223835353617664214695936

Offset: 1

Author

N. J. A. Sloane

Keywords

• sign

References

• N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

• G. A. Baker Jr., H. E. Gilbert, J. Eve and G. S. Rushbrooke, On the two-dimensional, spin-1/2 Heisenberg ferromagnetic models, Phys. Lett., 25A (1967), 207-209.
• 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.
• Laurent Pierre, Bernard Bernu and Laura Messio, High temperature series expansions of S = 1/2 Heisenberg spin models: Algorithm to include the magnetic field with optimized complexity, SciPost Phys. 17, 105 (2024); arXiv:2404.02271 [cond-mat.str-el], 2024. See the supporting file Square_20_0.py.
• Index entries for sequences related to specific heat

Crossrefs

Cf. A005400 (hexagonal), A002169 (cubic); A005401 (susceptibility).

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

Terms a(15) and beyond from Pierre, Bernu & Messio added by Andrey Zabolotskiy, Nov 18 2024