The Fermion Approach to the Commensurate-Incommensurate System

Abstract

The Schultz-Halperin-Henley model for an assembly of adsorbed atoms on an anisotropic rectangular lattice is considered. The Kosterlitz-Thouless dislocations are neglected. A rigorous solution of such model is presented by revising the free Fermion approach into an exact formalism. A complete phase diagram of this model is given. A new phase is found. The critical exponents are obtained. It is found that the particle-hole symmetry does not hold in the exact prediction. Finally an approach to a more extensive model including the KT dislocations is briefly presented.