Hartree-Fock approximation of bipolaron state in quantum dots and wires
Senger, R. T.
European Physical Journal B
525 - 529
Item Usage Stats
MetadataShow full item record
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.
Domain of stability
Electron phonon couplings
Ground state configuration
Spherical quantum dot
Semiconductor quantum dots
Semiconductor quantum wires
Published Version (Please cite this version)https://doi.org/10.1140/epjb/e2010-10517-x
Showing items related by title, author, creator and subject.
A self-consistent microscopic model of Coulomb interaction in a bilayer system as an origin of Drag Effect Phenomenon Güven, K.; Siddiki, A.; Krishna, P. M.; Hakioǧlu T. (Elsevier B.V., 2008)In this work we implement the self-consistent Thomas-Fermi model that also incorporates a local conductivity model to an electron-electron bilayer system, in order to describe novel magneto-transport properties such as the ...
Zandi H.; Safaei, S.; Khorasani, S.; Fardmanesh, M. (2012)The exact numerical solution of the nonlinear Ginzburg-Landau equation for Josephson junctions is obtained, from which the precise nontrivial current density and effective potential of the Josephson junctions are found. ...
The self-consistent calculation of the edge states at quantum Hall effect (QHE) based Mach-Zehnder interferometers (MZI) Siddiki, A.; Kavruk, A. E.; Öztürk, T.; Atav, U.; Şahin, M.; Hakioǧlu T. (Elsevier B.V., 2008)The spatial distribution of the incompressible edge states (IES) is obtained for a geometry which is topologically equivalent to an electronic Mach-Zehnder interferometer, taking into account the electron-electron interactions ...