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Excitonic Aharonov-Bohm effect in a two-dimensional quantum ring
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González-Santander, C., Domínguez-Adame, F. and Römer, Rudolf A. (2011) Excitonic Aharonov-Bohm effect in a two-dimensional quantum ring. Physical Review B (Condensed Matter and Materials Physics), Vol.84 (No.23). 235103 . doi:10.1103/PhysRevB.84.235103
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Official URL: http://dx.doi.org/10.1103/PhysRevB.84.235103
Abstract
We study theoretically the optical properties of an exciton in a two-dimensional ring threaded by a magnetic flux. We model the quantum ring by a confining potential that can be continuously tuned from strictly one-dimensional to truly two-dimensional with finite radius-to-width ratio. We present an analytic solution of the problem when the electron-hole interaction is short ranged. The oscillatory dependence of the oscillator strength as a function of the magnetic flux is attributed to the Aharonov-Bohm effect. The amplitude of the oscillations changes upon increasing the width of the quantum ring. We find that the Aharonov-Bohm oscillations of the ground state of the exciton decrease with increasing the width, but, remarkably, the amplitude remains finite down to radius-to-width ratios less than unity. We attribute this resilience of the excitonic oscillations to the nonsimple connectedness of our chosen confinement potential with its centrifugal core at the origin.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QC Physics | ||||
| Divisions: | Faculty of Science > Physics Faculty of Science > Centre for Scientific Computing |
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| Library of Congress Subject Headings (LCSH): | Exciton theory | ||||
| Journal or Publication Title: | Physical Review B (Condensed Matter and Materials Physics) | ||||
| Publisher: | American Physical Society | ||||
| ISSN: | 1098-0121 | ||||
| Official Date: | 2011 | ||||
| Dates: |
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| Volume: | Vol.84 | ||||
| Number: | No.23 | ||||
| Number of Pages: | 6 | ||||
| Page Range: | 235103 | ||||
| DOI: | 10.1103/PhysRevB.84.235103 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Funder: | Spain. Ministerio de Ciencia e Innovación (MICINN) | ||||
| Grant number: | Mosaico (MICINN), MAT2010-17180 (MICINN) |
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