Shape-independent scaling of excitonic confinement in realistic quantum wires

Details Shape-independent scaling of excitonic confinement in realistic quantum wires Shape-independent scaling of excitonic confinement in realistic quantum wires

1997-04-08

arxiv.org/abs/cond-mat/9704061v1

Phys. Rev. Lett. 78 (1997), p. 3527

Physics

Condensed Matter

To appear in Phys. Rev. Lett. (12 pages + 2 figures in postscript)

Scientific paper

10.1103/PhysRevLett.78.3527

The scaling of exciton binding energy in semiconductor quantum wires is investigated theoretically through a non-variational, fully three-dimensional approach for a wide set of realistic state-of-the-art structures. We find that in the strong confinement limit the same potential-to-kinetic energy ratio holds for quite different wire cross-sections and compositions. As a consequence, a universal (shape- and composition-independent) parameter can be identified that governs the scaling of the binding energy with size. Previous indications that the shape of the wire cross-section may have important effects on exciton binding are discussed in the light of the present results.

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