Ground state energy of the fröhlich polaron as a function of dimensionality and the phonon coupling strength
Author
Bayrak, Hamdi Burak
Advisor
Erçelebi, Zeki Atilla
Date
2018-09Publisher
Bilkent University
Language
en_US
Type
ThesisItem Usage Stats
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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.