Hydrogenic impurity in multilayered quantum wires

Abstract

The binding energy of the ground state of a hydrogenic impurity located at the center of a multilayered quantum wire (MLQW) is studied within the framework of the effective-mass approximation. The MLQW consists of a core wire (GaAs) coated by a cylindrical shell (Ga1-xAlxAs) and then embedded in the bulk (Ga1-yAlyAs). The calculation was performed by using a trial wave function. To make a comparison, the ground and excited states (1s, 2p, and 3d states) binding energies of a hydrogenic impurity located at the center of a single-layered quantum wire (QW) are also calculated. It is found for small wire radius, the ground-state binding energy of the hydrogenic impurity located at the center of a MLQW behaves very differently from that of a single-layered QW. (C) 2001 American Institute of Physics.