Field-induced spin density wave state of the quasi-one-dimensional organic conductors under the anion ordering

The periodical oscillation of the Hall resistance as a function of the magnetic field (B) has been observed in the field-induced spin density wave (FISDW) state of (TMTSF)2ClO4in strong magnetic field [Uji et al. Phys. Rev. Lett. 94, 077206 (2005)]. The mechanism of this interesting phenomenon has not been explained. It is known that the periodic potential due to the ordering of the anion plays important role in the FISDWand the Hall conductivity. Although some properties such as the suppression of the FISDW state with even index are explained in the perturbative treatment of the periodic potential, the non-perturbative calculation is indispensable to this system because the periodic potential is thought to be not small. We calculate the susceptibility in the system to obtain the wave vector of the FISDW at strong fields. We also discuss the Hall resistance in the strong periodic potential case