Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2000-08-28
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
REVTEX + 4ps figs. to appear in Phys Rev B (15 Feb 2001)
Scientific paper
10.1103/PhysRevB.63.125302
We study the effect of magnetic field and geometric confinement on excitons confined to a quantum ring. We use analytical matrix elements of the Coulomb interaction and diagonalize numerically the effective-mass Hamiltonian of the problem. To explore the role of different boundary conditions, we investigate the quantum ring structure with a parabolic confinement potential, which allows the wavefunctions to be expressed in terms of center of mass and relative degrees of freedom of the exciton. On the other hand, wavefunctions expressed in terms of Bessel functions for electron and hole are used for a hard-wall confinement potential. The binding energy and electron-hole separation of the exciton are calculated as function of the width of the ring and the strength of a external magnetic field. The linear optical susceptibility as a function of magnetic fields is also discussed. We explore the Coulomb electron-hole correlation and magnetic confinement for several ring width and size combinations. The Aharanov-Bohm oscillations of exciton characteristics predicted for one-dimensional rings are found to not be present in these finite-width systems.
Song Jakyoung
Ulloa Sergio E.
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