TY - JOUR

T1 - Low-temperature series expansions for the square lattice Ising model with spin S > 1

AU - Jensen, I.

AU - Guttmann, A. J.

AU - Enting, I. G.

PY - 1996/7/21

Y1 - 1996/7/21

N2 - We derive low-temperature series (in the variable u = exp[-βJ/S2]) for the spontaneous magnetization, susceptibility, and specific heat of the spin-S Ising model on the square lattice for S = 3/2, 2, 5/2, and 3. We determine the location of the physical critical point and non-physical singularities. The number of non-physical singularities closer to the origin than the physical critical point grows quite rapidly with S. The critical exponents at the singularities which are closest to the origin and for which we have reasonably accurate estimates are independent of S. Due to the many non-physical singularities, the estimates for the physical critical point and exponents are poor for higher values of S, though consistent with universality.

AB - We derive low-temperature series (in the variable u = exp[-βJ/S2]) for the spontaneous magnetization, susceptibility, and specific heat of the spin-S Ising model on the square lattice for S = 3/2, 2, 5/2, and 3. We determine the location of the physical critical point and non-physical singularities. The number of non-physical singularities closer to the origin than the physical critical point grows quite rapidly with S. The critical exponents at the singularities which are closest to the origin and for which we have reasonably accurate estimates are independent of S. Due to the many non-physical singularities, the estimates for the physical critical point and exponents are poor for higher values of S, though consistent with universality.

UR - http://www.scopus.com/inward/record.url?scp=0000793613&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/29/14/009

DO - 10.1088/0305-4470/29/14/009

M3 - Article

AN - SCOPUS:0000793613

VL - 29

SP - 3805

EP - 3815

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 0305-4470

IS - 14

ER -