We study the vicinal surface with adsorption below the roughening temperatu
re, using a solid-on-solid model coupled with the Ising model. We calculate
the step tension gamma and the step-interaction coefficient B using the de
nsity matrix algorithm. We find a temperature T-s where B vanishes and that
the surface free energy has the form f(p) - f(0) = gammap + (const) p(5) ..., where p is the surface gradient.