A030045 Low temperature series for spin-1/2 Ising partition function on 4D simple cubic lattice.

1, 0, 0, 0, 1, 0, 0, 4, -4, 0, 28, -60, 38, 228, -798, 1036, 1528, -10064, 20266, -432, -116414, 342376, -312232, -1128944, 5218867, -8614080, -6284630, 71744552, -175745087, 80875672, 855493548, -3086044908, 3923353016, 7675455720, -48219069200

Offset: 0

Author

Steven Finch

Keywords

• sign

References

• S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 391-406.
• C. Vohwinkel, personal communication.

Links

• Steven R. Finch, Lenz-Ising Constants [broken link]
• Steven R. Finch, Lenz-Ising Constants [From the Wayback Machine]
• M. F. Sykes, Derivation of low-temperature expansions for Ising model, X: The four-dimensional simple hypercubic lattice, J. Phys. A 12 (1979) 879-892.
• C. Vohwinkel and P. Weisz, Low-temperature expansion in the d=4 Ising model, Nucl. Phys. B 374 (1992) 647-666. See Table A.1, column f, for the power series which is the logarithm of this power series.

Crossrefs

Cf. A002891, A030044, A030046, A030047.

Extensions

"Free energy" corrected to "partition function" (basically the exponential of the free energy) in the name by Andrey Zabolotskiy, Feb 12 2022

a(33)-a(34) using Vohwinkel & Weisz's data added by Andrey Zabolotskiy, Aug 10 2022