A005401 High-temperature series for Heisenberg model susceptibility on square lattice.

4, 16, 64, 416, 4544, 23488, -207616, 4205056, 198295552, -2574439424, -112886362112, 3567419838464, 94446596145152, -5636771173998592, -80736001427931136, 11035864514607054848, 15012780903941799936, -25650368909583695740928

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, 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_18_1.py; multiply pol1[1] by 2 to get this sequence.

Crossrefs

Cf. A005399 (hexagonal), A002170 (cubic); A005402 (specific heat).

Extensions

Terms a(11)-a(14) added from Oitmaa and Bornilla by Andrey Zabolotskiy, Oct 20 2021 and Feb 05 2022

Name clarified, terms a(15)-a(18) using Pierre, Bernu & Messio's data added by Andrey Zabolotskiy, Nov 25 2024