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      On the stability of Fröhlich bipolarons in spherical quantum dots

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      Author
      Senger, R. T.
      Erçelebi, A.
      Date
      2002
      Source Title
      Journal of Physics Condensed Matter
      Print ISSN
      0953-8984
      Publisher
      Institute of Physics
      Volume
      14
      Issue
      22
      Pages
      5549 - 5560
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      In the strong-electron-phonon-coupling regime, we retrieve the stability criterion for bipolaron formation in a spherical quantum dot. The model that we use consists of a pair of electrons immersed in a reservoir of bulk LO phonons and confined within an isotropic parabolic potential box. In this particular quasi-zero-dimensional geometry, where the electrons do not have any free spatial direction to expand indefinitely, a plausible approach would be to treat the electrons either to form a bipolaronic bound state or enter a state of two close, but individual polarons inside the same dot. The confined two-polaron model adopted here involves the polaron-polaron separation introduced as an adjustable parameter to be determined variationally. It is found that the fundamental effect of imposing such a variational flexibility is to modify the phase diagram to a considerable extent and to sustain the bipolaron phase in a broader domain of stability.
      Keywords
      Calculations
      Electrons
      High temperature superconductors
      Phase diagrams
      Phonons
      Semiconductor quantum dots
      Stability
      Electron-phonon coupling
      Polarons
      Permalink
      http://hdl.handle.net/11693/24689
      Published Version (Please cite this version)
      http://dx.doi.org/10.1088/0953-8984/14/22/308
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      • Department of Physics 2299
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