Hall conductivity in some organic metals

Abstract

The Hall conductivity of organic metals having electrons described by the tight-binding Hamiltonians characteristic for simple cubic lattices is examined on a theoretical basis. The dependences of the Hall conductivity on the ratios of the external microwave frequency and the cyclotron frequency are calculated for different fillings of the electron band. The area swept by the electron velocity at the Fermi level, and the fulfilment of the condition j_y = 0 for the electric current in the presence of a constant magnetic field, are also examined for the same metal systems in dependence on the band filling.