1. Linear dynamic polarizability and the absorption spectrum of an exciton in a quantum ring in a magnetic field
- Author
-
Ghazaryan, A. V., Djotyan, Anahit P., Moulopoulos, Konstantinos, Kirakosyan, Albert A., and Moulopoulos, Konstantinos [0000-0001-5139-436X]
- Subjects
Contact potential ,Absorption spectroscopy ,Aharonov-Bohm flux ,Exciton ,FOS: Physical sciences ,Molecular physics ,Absorption ,Analytical expressions ,Polarizability ,Electron hole system ,Polarization ,Mesoscale and Nanoscale Physics (cond-mat.mes-hall) ,Boundary value problem ,Light absorption ,Wave function ,Quantum ,Mathematical Physics ,Magnetic flux ,Physics ,Quantum Physics ,Condensed Matter - Mesoscale and Nanoscale Physics ,Optical properties ,Nanorings ,Condensed Matter Physics ,Condensed Matter::Mesoscopic Systems and Quantum Hall Effect ,Straight-forward method ,Atomic and Molecular Physics, and Optics ,Magnetic field ,Dark excitonic state ,Energy spectra ,Magnetic fields ,Excitons ,Linear dynamics ,Quantum Physics (quant-ph) ,Quantum ring - Abstract
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., 12 pages, 4 figures more...
- Published
- 2011