Analysis of coherent anomalies, scaling exponent and confluent singularities for spin-S Ising model on cubic nets

Shiladitya Sardar and K.G. Chakraborty

Physica A: Statistical Mechanics and its Applications, 1997, vol. 238, issue 1, 317-337

Abstract: The zero-field high temperature static susceptibility series of the spin-S nearest-neighbour Ising model on simple cubic (SC), body-centred cubic (BCC) and face-centred cubic (FCC) lattices is thoroughly analysed by means of a power series coherent anomaly method (CAM). Our analysis revealed that the ten-term high-temperature susceptibility series is consistent with the universal value of the scaling exponent γ = 54 for all S and for all cubic nets, provided that (i) a single confluent correction of the form Δ∗ ≅ o.44 is inserted for FCC lattice and for all spins except S = 12 and (ii) two confluent corrections Δo∗and Δ3∗ are inserted for SC and BCC lattices covering all spins except the spin-12 case. For S = 12, the results obtained for all lattices demonstrate the non-existence (except for the SC lattice where Δo∗ ≠ 0, Δe∗ = 0) of confluent correction in agreement with the observation of earlier authors. The variation Tc∗ for all lattices and for all spin is also analysed quantitatively.

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:238:y:1997:i:1:p:317-337

DOI: 10.1016/S0378-4371(96)00443-8

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