MAGNETOPHONON RESONANCES IN QUANTUM WIRES

Magnetophonon resonances axe studied in quantum wires with parabolic confinement potential. The conductivity sigma(xx) in quantum wires consists of two types of contributions; one is related to the current carried by electron hopping motion between the localized cyclotron orbits, sigma(ep), and the other is caused by the effect of the confinement potential to flow electrons along the wire, sigma(po). Magnitude of both the conductivity and the oscillatory part of the conductivity is calculated as a function of the strength of the confinement potential. In the case of strong confinement, i.e. in narrow quantum wires, sigma(xx) is found to be dominated by sigma(po), resulting minima of the oscillatory part of the conductivity at resonances.