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      Hartree-Fock approximation of bipolaron state in quantum dots and wires

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      Author
      Senger, R. T.
      Kozal, B.
      Chatterjee, A.
      Erçelebi, A.
      Date
      2010
      Source Title
      European Physical Journal B
      Print ISSN
      1434-6028
      Publisher
      Springer
      Volume
      78
      Issue
      4
      Pages
      525 - 529
      Language
      English
      Type
      Article
      Item Usage Stats
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      79
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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 state
      Bipolaronic 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/11693/22091
      Published Version (Please cite this version)
      https://doi.org/10.1140/epjb/e2010-10517-x
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      • Department of Physics 2299
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