arXiv · cond-mat/0104375
Polaron effects in electron channels on a helium film
Abstract
Using the Feynman path-integral formalism we study the polaron effects in quantum wires above a liquid helium film. The electron interacts with two-dimensional (2D) surface phonons, i.e. ripplons, and is confined in one dimension (1D) by an harmonic potential. The obtained results are valid for arbitrary temperature ($T$), electron-phonon coupling strength ($α$), and lateral confinement ($ω_{0}$). Analytical and numerical results are obtained for limiting cases of $T$, $α$, and $ω_{0}$. We found the surprising result that reducing the electron motion from 2D to quasi-1D makes the self-trapping transition more continuous.
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G. A. Farias, R. N. Costa Filho, F. M. Peeters, Nelson Studart. 2001-04-19. Polaron effects in electron channels on a helium film. https://doi.org/10.1103/physrevb.64.104301
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