cp's OEIS Frontend

A002165 High temperature series for spin-1/2 Heisenberg specific heat on 3-dimensional f.c.c. lattice.

%I A002165 M5057 N2187 #34 Oct 09 2023 11:30:03
%S A002165 0,18,108,180,-5040,162000,14565600,563253408,17544639744,
%T A002165 750412309248,56646776913408,4973976625190400,421817449494804480
%N A002165 High temperature series for spin-1/2 Heisenberg specific heat on 3-dimensional f.c.c. lattice.
%D A002165 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D A002165 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A002165 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 A002165 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 A002165 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 A002165 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.
%H A002165 <a href="/index/Fa#fcc">Index entries for sequences related to f.c.c. lattice</a>
%H A002165 <a href="/index/Sp#specific_heat">Index entries for sequences related to specific heat</a>
%Y A002165 Cf. A002169 (cubic), A002167 (b.c.c.); A002166 (susceptibility).
%K A002165 sign,more
%O A002165 1,2
%A A002165 _N. J. A. Sloane_
%E A002165 Better description from _Steven Finch_
%E A002165 a(10) corrected, a(11)-a(12) added from Oitmaa and Bornilla by _Andrey Zabolotskiy_, Oct 20 2021
%E A002165 a(13) from Gonzalez et al. added by _Andrey Zabolotskiy_, May 06 2023