Role of interlayer electron hopping for spin density wave state in the zero-gap organic conductor

We investigate the formation of density waves in the zero-gap state (ZGS) which has been found in the quasi-two-dimensional organic conductor alpha-(BEDT-TTF)(2)I-3 salt under the hydrostatic pressure. The ZGS exhibits the cone-like dispersion for both the conduction band and the valence band which degenerate each other at the two-dimensional wave vectors, +/- k(0) forming a zero gap. By using the extended Hubbard model with repulsive interaction we calculate the onset temperature of the spin density wave (SDW) as a function of the interlayer electron hopping, which by itself does not break the cone-like dispersion. It is shown that the SDW with wave number 2k(0) is induced by the combined effect of the interaction, the interband excitation across the zero-gap and the interlayer hopping.