Linear dynamic polarizability and absorption spectrum of an exciton in a quantum ring in a magnetic field

The problem of an electron-hole system interacting through a contact potential and moving in a one-dimensional quantum ring threaded by an Aharonov-Bohm flux is considered, both with respect to the system's energetics as well as its optical properties. An exact analytical expression for the ene...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2011-03
Main Authors: Ghazaryan, A V, Djotyan, A P, Moulopoulos, K, Kirakosyan, A A
Format: Article
Language:English
Subjects:
Absorption spectra
Boundary conditions
Contact potentials
Electrons
Energy spectra
Excitation spectra
Excitons
Holes (electron deficiencies)
Magnetic flux
Optical properties
Wave functions
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The problem of an electron-hole system interacting through a contact potential and moving in a one-dimensional quantum ring threaded by an Aharonov-Bohm flux is considered, both with respect to the system's energetics as well as its optical properties. An exact analytical expression for the energy spectrum is derived using a straightforward method based on boundary conditions for wavefunctions and their derivatives along the ring. The optical properties of this exciton system, namely the linear dynamic polarizability and absorption spectrum are investigated demonstrating certain unusual features. It is shown, for example, that for special values of the magnetic flux there are energies in the spectrum that correspond to the dark excitonic states.
ISSN:2331-8422
DOI:10.48550/arxiv.1103.0777