Conductivity in quantum wires in a homogeneous magnetic field

The electroconductivity of quantum wires in homogeneous magnetic fields directed along the quantum wire and perpendicular to it is calculated in the model of parabolic potentials that takes into account the anisotropy of the effective mass of current carriers. The temperature and field dependences of the conductivity are calculated for nondegenerate and degenerate quantum quasi one-dimensional systems; the results are compared with the experimental data. The features of the electroconductivity arising in 1-D dimension quantum systems are discussed in detail. In particular, it is shown that the conductivity in 1-D dimensional systems for a perpendicular magnetic field in the quantum limit omega(c)tau much greater than 1 (omega(c) - cyclotron frequency, 1/tau is the probability of carriers scattering on acoustic vibrations) can be significantly higher than in bulk semiconductor systems. We assume that this is the probable reason for the sharp increase in electroconductivity observed in quantum Bi wires 50-100 nm thick in the perpendicular magnetic field.