Hartree-Fock approximation of bipolaron state in quantum dots and wires
Author
Senger, R. T.
Kozal, B.
Chatterjee, A.
Erçelebi, A.
Date
2010Source Title
European Physical Journal B
Print ISSN
1434-6028
Publisher
Springer
Volume
78
Issue
4
Pages
525 - 529
Language
English
Type
ArticleItem Usage Stats
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Abstract
The bipolaronic ground state of two electrons in a spherical quantum dot or a quantum wire with parabolic boundaries is studied in the strong electron-phonon coupling regime. We introduce a variational wave function that can conveniently conform to represent alternative ground state configurations of the two electrons, namely, the bipolaronic bound state, the state of two individual polarons, and two nearby interacting polarons confined by the external potential. In the bipolaron state the electrons are found to be separated by a finite distance about a polaron size. We present the formation and stability criteria of bipolaronic phase in confined media. It is shown that the quantum dot confinement extends the domain of stability of the bipolaronic bound state of two electrons as compared to the bulk geometry, whereas the quantum wire geometry aggravates the formation of stable bipolarons.
Keywords
Bipolaron stateBipolaronic phase
Bipolarons
Bound state
Domain of stability
Electron phonon couplings
External potential
Finite distance
Ground state configuration
Hartree-Fock approximations
Quantum Dot
Quantum-dot confinements
Spherical quantum dot
Electrons
Ground state
Hartree approximation
Nanowires
Optical waveguides
Phonons
Polarons
Semiconductor quantum dots
Semiconductor quantum wires
Wave functions
Wire
Stability criteria
Permalink
http://hdl.handle.net/11693/22091Published Version (Please cite this version)
https://doi.org/10.1140/epjb/e2010-10517-xCollections
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