Abstract
Quasi-one-dimensional excitons in quantum wires are investigated using an isotropic “hard” Coulomb potential of the type: V(r)=−(1/ar), where a is a specified length parameter of the confined region. Using the virial theorem, this interaction potential gives a constant ratio of 34 for the exciton binding energy to its potential energy, a result that has been recently verified for various configurations of GaAs/AlxGa1−xAs quantum wires. We utilize this simple model to show a semiempirical approach to determine the exciton binding energy in quantum wires with transverse cross sections of widely used geometrical shapes. The significance of channel points and strong curvatures in the cross section of quantum wires is highlighted.
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