Polaron effects in electron channels on a helium film

Details Polaron effects in electron channels on a helium film Polaron effects in electron channels on a helium film

2001-04-19

arxiv.org/abs/cond-mat/0104375v1

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 7 figures, submitted to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.64.104301

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 ($\alpha $), and lateral confinement ($\omega_{0}$). Analytical and numerical results are obtained for limiting cases of $T$, $\alpha $, and $\omega_{0}$. 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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