Abstract
The availability of extended series expansions for =χ/∂, accurate Monte Carlo estimates of the critical temperature for the sc spin-(1/2) Ising model, and refined methods of series analysis allow the hyperscaling relation dν=2Δ-γ to be severely tested. From analysis of and / we estimate γ=1.240±0.006 and Δ=1.565±0.004. The estimate of Δ is in complete agreement with the prediction of hyperscaling using both the best extant series and renormalization-group estimates of the exponents γ and ν. With the assumption of hyperscaling, our analysis gives ν=0.630±0.002.
- Received 30 September 1985
DOI:https://doi.org/10.1103/PhysRevB.33.5089
©1986 American Physical Society