cp's OEIS Frontend

A002169 High temperature series for spin-1/2 Heisenberg specific heat on 3-dimensional simple cubic lattice.

%I A002169 M4602 N1963 #43 Oct 09 2023 11:29:47
%S A002169 0,9,-18,-162,2520,33192,-1019088,-7804944,723961728,2596523904,
%T A002169 -856142090496,6383648984832,1356696930401280,-27667884260938752,
%U A002169 -2908030732698175488,122264703581556307968,7238339805811283361792
%N A002169 High temperature series for spin-1/2 Heisenberg specific heat on 3-dimensional simple cubic lattice.
%D A002169 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D A002169 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A002169 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 A002169 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 A002169 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 A002169 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 A002169 <a href="/index/Sp#specific_heat">Index entries for sequences related to specific heat</a>
%H A002169 <a href="/index/Cu#cubic_lattice">Index entries for sequences related to cubic lattice</a>
%Y A002169 Cf. A002165 (f.c.c.), A002167 (b.c.c.), A002922 (diamond), A005402 (square), A005402 (hexagonal); A002170 (susceptibility); A002916 (Ising).
%K A002169 sign,more
%O A002169 1,2
%A A002169 _N. J. A. Sloane_
%E A002169 Better description from _Steven Finch_
%E A002169 a(11)-a(14) added from Oitmaa and Bornilla by _Andrey Zabolotskiy_, Oct 20 2021 and Feb 05 2022
%E A002169 a(15)-a(17) added from Gonzalez et al. by _Andrey Zabolotskiy_, May 06 2023