A005400 High temperature series for spin-1/2 Heisenberg specific heat on 2D hexagonal lattice. (Formerly M4603)

0, 9, 18, -306, -3240, 49176, 1466640, -13626000, -1172668032, 75256704, 1392243773184, 18426692664576, -2213592367094784

Offset

1,2

Comments

The hexagonal lattice is the familiar 2-dimensional lattice in which each point has 6 neighbors. This is sometimes called the triangular lattice.

References

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=1..13.

G. A. Baker Jr., H. E. Gilbert, J. Eve, and G. S. Rushbrooke, On the two-dimensional, spin-1/2 Heisenberg ferromagnetic models, Phys. Lett., 25A (1967), 207-209.

N. Elstner, R. R. P. Singh and A. P. Young, Finite temperature properties of the spin-1/2 Heisenberg antiferromagnet on the triangular lattice, Phys. Rev. Lett., 71 (1993), 1629-1632.

G. Nebe and N. J. A. Sloane, Home page for hexagonal (or triangular) lattice A2

J. Oitmaa and E. Bornilla, High-temperature-series study of the spin-1/2 Heisenberg ferromagnet, Phys. Rev. B, 53 (1996), 14228.

Index entries for sequences related to specific heat

Crossrefs

Cf. A005399, A005402.

Sequence in context: A278588 A133361 A353183 * A134115 A071587 A061750

Adjacent sequences: A005397 A005398 A005399 * A005401 A005402 A005403

Keyword

sign,more

Author

N. J. A. Sloane

Extensions

Better description from Steven Finch

a(11)-a(12) added from Oitmaa and Bornilla by Andrey Zabolotskiy, Oct 20 2021

a(13) from Elstner et al. (see table I; signs differ because they consider antiferromagnet, and they mention energy instead of specific heat because the same coefficients are involved, cf. Eqs. (11) and (13) from Oitmaa & Bornilla) added by Andrey Zabolotskiy, Jun 17 2022

Status

approved