Quasi - one - dimensional spin - density - wave states in the presence of two commensurate potentials and an interchain misfit

Spin density wave (SDW) states of a quasi-one-dimensional system with an incommensu-rate wave vector perpendicular to the chain have been studied in the presence of two kinds of commensurate potentials, which originate in a quarter-filled band and dimerization along the chain. In terms of a phase variable of the SDW order parameter, we treat classically the two-dimensional Hamiltonian, which includes both acoustic excitations with long wave length and a vortex excitation with short wave length. A phase diagram on the plane of temperature and chemical potential (where the latter corresponds to the deviation of the transverse wave vector from the commensurate one) exhibits a variety of states given by the commensurate SDW state without charge density, the commensurate SDW state with charge density, the incommensurate SDW state and the disordered state.