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      Ground state energy of the fröhlich polaron as a function of dimensionality and the phonon coupling strength

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      Author
      Bayrak, Hamdi Burak
      Advisor
      Erçelebi, Zeki Atilla
      Date
      2018-09
      Publisher
      Bilkent University
      Language
      en_US
      Type
      Thesis
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      Abstract
      We use the trial polaron wave function introduced by Devreese et al. [1] to estimate the ground state energies of the Fröhlich polaron over a broad range of the phonon coupling strength by a variational approach. We calculate the binding energy of the polaron as a function of dimensionality interpolating between two and three dimensions. We compare these results with the outcomes obtained by the Strong and Weak Coupling Theories and conclude that in the strong coupling regime, the present work leads to a significantly improved upper bound for the ground state energy.
      Keywords
      Fröhlich
      Polaron
      Weak Coupling
      Strong coupling
      Permalink
      http://hdl.handle.net/11693/48096
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      • Dept. of Physics - Master's degree 160
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