Intrasubband plasmons in a finite array of quantum wires placed into an external magnetic field

Abstract

The paper deals with the theoretical investigation of intrasubband plasmons in an array of quantum wires, consisting of a finite number of quantum wires, arranged at an equal distance from each other and placed into an external magnetic field. Two types of quantum wire array are under consideration: an ordered array of quantum wires with equal electron densities in all quantum wires and weakly disordered array of quantum wires, which is characterized by the fact that the density of electrons of one defect quantum wire was different from that of other quantum wires. For the ordered array of quantum wires, placed into the external magnetic field, the nonmonotonical dependence of plasmon frequency upon the 1D density of electrons in quantum wires is predicted. For high magnetic field the existence of 1D electron density ranges, in which plasmon modes do not exist, is shown. For the weakly disordered array of quantum wires the existence of the local plasmon modes, which properties differ from those of usual modes, is found. At high magnetic field the disappearance of the local plasmon modes at certain ranges of 1D electron density in defect quantum wire is shown.