The Aharonov-Bohm effect for an exciton

Details The Aharonov-Bohm effect for an exciton The Aharonov-Bohm effect for an exciton

1999-06-21

arxiv.org/abs/cond-mat/9906314v2

Physics

Condensed Matter

Strongly Correlated Electrons

13 RevTeX 3.0 pages plus 4 EPS-figures, changes include updated references and an improved chapter on possible experimental re

Scientific paper

10.1103/PhysRevB.62.7045

We study theoretically the exciton absorption on a ring shreded by a magnetic flux. For the case when the attraction between electron and hole is short-ranged we get an exact solution of the problem. We demonstrate that, despite the electrical neutrality of the exciton, both the spectral position of the exciton peak in the absorption, and the corresponding oscillator strength oscillate with magnetic flux with a period $\Phi_0$---the universal flux quantum. The origin of the effect is the finite probability for electron and hole, created by a photon at the same point, to tunnel in the opposite directions and meet each other on the opposite side of the ring.

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