Monte Carlo simulations of the Si(111) surface at equilibrium have been per
formed. No evidence is found for the existence of a disordered flat phase,
as previously reported in literature. Examination of the specific heat as a
function of temperature, the height-height correlation function and an ord
er parameter for the Si(111) surface reveals only one phase transition, the
familiar Kosterlitz-Thouless roughening transition. It is shown that the a
rgument for the existence of a disordered flat phase is based on a spurious
effect on the specific heat that can be attributed to the presence of isol
ated adatoms. The presence of such adatoms, with no bonds to the bulk of th
e crystal at all, is excluded in our Monte Carlo simulations. (C) 1999 Else
vier Science B.V. All rights reserved.