cp's OEIS Frontend

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

%I A005401 M3519 #22 Nov 26 2024 02:59:46
%S A005401 4,16,64,416,4544,23488,-207616,4205056,198295552,-2574439424,
%T A005401 -112886362112,3567419838464,94446596145152,-5636771173998592,
%U A005401 -80736001427931136,11035864514607054848,15012780903941799936,-25650368909583695740928
%N A005401 High-temperature series for Heisenberg model susceptibility on square lattice.
%D A005401 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A005401 G. A. Baker Jr., H. E. Gilbert, J. Eve, G. S. Rushbrooke, <a href="https://doi.org/10.1016/0375-9601(67)90860-2">On the two-dimensional, spin-1/2 Heisenberg ferromagnetic models</a>, Phys. Lett., 25A (1967), 207-209.
%H A005401 J. Oitmaa and E. Bornilla, <a href="https://doi.org/10.1103/PhysRevB.53.14228">High-temperature-series study of the spin-1/2 Heisenberg ferromagnet</a>, Phys. Rev. B, 53 (1996), 14228. See Table I and the note added in proof.
%H A005401 Laurent Pierre, Bernard Bernu and Laura Messio, <a href="https://doi.org/10.21468/SciPostPhys.17.4.105">High temperature series expansions of S = 1/2 Heisenberg spin models: Algorithm to include the magnetic field with optimized complexity</a>, SciPost Phys. 17, 105 (2024); arXiv:<a href="https://arxiv.org/abs/2404.02271">2404.02271</a> [cond-mat.str-el], 2024. See the supporting file <a href="https://bitbucket.org/lmessio/htse-coefficients/src/main/Square/Square_18_1.py">Square_18_1.py</a>; multiply pol1[1] by 2 to get this sequence.
%Y A005401 Cf. A005399 (hexagonal), A002170 (cubic); A005402 (specific heat).
%K A005401 sign
%O A005401 1,1
%A A005401 _N. J. A. Sloane_
%E A005401 Terms a(11)-a(14) added from Oitmaa and Bornilla by _Andrey Zabolotskiy_, Oct 20 2021 and Feb 05 2022
%E A005401 Name clarified, terms a(15)-a(18) using Pierre, Bernu & Messio's data added by _Andrey Zabolotskiy_, Nov 25 2024