Surface tension of the three-dimensional Ising model: A low-temperature series analysis

The application of Padé and inhomogeneous differential approximants to the low-temperature series for the surface tension Σ(T ) of the simple cubic Ising model provides accurate values for temperatures T≲$T_R$, where $T_R$ is the roughening temperature. The roughening transition is marked by significant structure in the variation of Σ(T ) above $T_R$. Approximants with surface-tension amplitudes, $A_{\Sigma }$ $a^2$/$k_B$ $T_c$, between 1.4 and 2.0 agree well with Monte Carlo data for T<$T_c$.