cp's OEIS Frontend

A002167 High temperature series for spin-1/2 Heisenberg specific heat on 3-dimensional b.c.c. lattice.

%I A002167 M4830 N2066 #34 Oct 09 2023 11:30:21
%S A002167 0,12,-24,168,1440,24480,-297024,28017216,-533681664,41156316672,
%T A002167 -503287538688,53001415916544,-1839416689004544,246102905022713856,
%U A002167 -9001661201883684864
%N A002167 High temperature series for spin-1/2 Heisenberg specific heat on 3-dimensional b.c.c. lattice.
%D A002167 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D A002167 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A002167 G. A. Baker et al., <a href="https://doi.org/10.1103/PhysRev.164.800">High-temperature expansions for the spin-1/2 Heisenberg model</a>, Phys. Rev., 164 (1967), 800-817.
%H A002167 C. Domb and D. Wood, <a href="https://doi.org/10.1088/0370-1328/86/1/302">On high-temperature expansions for the Heisenberg model</a>, Proc. Physical Soc., 86 (1965), 1-16.
%H A002167 M. G. Gonzalez, B. Bernu, L. Pierre and L. Messio, <a href="https://doi.org/10.1103/PhysRevB.107.235151">Finite-temperature phase transitions in S=1/2 three-dimensional Heisenberg magnets from high-temperature series expansions</a>, Phys. Rev. B 107 (2023), 235151; arXiv:<a href="https://arxiv.org/abs/2303.03135">2303.03135</a> [cond-mat.str-el], 2023. See Table V; a_n = a(n)*(-1)^n.
%H A002167 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 A002167 <a href="/index/Ba#bcc">Index entries for sequences related to b.c.c. lattice</a>
%H A002167 <a href="/index/Sp#specific_heat">Index entries for sequences related to specific heat</a>
%Y A002167 Cf. A002169 (cubic), A002165 (f.c.c.); A002168 (susceptibility).
%K A002167 sign,more
%O A002167 1,2
%A A002167 _N. J. A. Sloane_
%E A002167 Better description from _Steven Finch_
%E A002167 Terms a(11)-a(14) added from Oitmaa and Bornilla by _Andrey Zabolotskiy_, Oct 20 2021 and Feb 05 2022
%E A002167 Name clarified, a(15) added from Gonzalez et al. by _Andrey Zabolotskiy_, May 06 2023