Charge Density Waves under Magnetic Fields

By taking into account magnetic field through the Zeeman effect the charge density wave state is discussed theoretically. The relative stability of various charge density wave states under applied fields are examined by utilizing a snoidal solution which is characterized by only a single periodicity but satisfies exactly a self-consistent equation for the Frohlich model with a nearly half-filled band. The detailed phase diagram of the commensurate and incommensurate states, the energy gap structure, the wave number of the lattice modulation and the magnetization are calculated. From the obtained energy gap we discuss the applicability of our solution with the single wave length modulation. Possible experiments of field induced transitions on low dimensional Peierls systems under fields are proposed.