Exciton states in cylindrical nanowires

TL;DR

This paper calculates exciton energy levels in infinitely long cylindrical nanowires, examining the effects of wire radius and magnetic fields, providing analytical fits and insights into exciton behavior in nanostructures.

Contribution

It presents exact numerical calculations of exciton states in cylindrical nanowires, including effects of magnetic fields, with analytical expressions for effective potentials and energies.

Findings

Exciton energies depend on wire radius and magnetic field.

Analytical expressions accurately fit numerical results.

Magnetic fields influence exciton binding energies.

Abstract

The exciton ground state and excited state energies are calculated for a model system of an infinitely long cylindrical wire. The effective Coulomb potential between the electron and the hole is studied as function of the wire radius. Within the adiabatic approximation, we obtain `exact' numerical results for the effective exciton potential and the lowest exciton energy levels which are fitted to simple analytical expressions. Furthermore, we investigated the influence of a magnetic field parallel to the nanowire on the effective potential and the exciton energy.