The nature of the transition between double-stepped and single-stepped
structures of vicinal Si(001) surfaces is investigated theoretically.
By using the transfer-matrix method and the elastic monopole and dipo
le step-step interactions, modified in such a way that they are valid
at small step separations, it is predicted that the double steps, whic
h are stable only at low temperatures and large miscut angles (theta g
reater-than-or-equal-to 1.37-degrees), gradually unbind into pairs of
single steps as T is increased or theta is decreased. The recently pub
lished experimental data support the proposed model.