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 a harmonic potential. The obtained results are valid for arbitrary temperature (T), electron-phonon coupling strength (α), and lateral confinement (ω0). Analytical and numerical results are obtained for limiting cases of T, α, and ω0. We found the surprising result that reducing the electron motion from 2D to quasi-1D makes the self-trapping transition more continuous.
- Publication:
-
Physical Review B
- Pub Date:
- September 2001
- DOI:
- 10.1103/PhysRevB.64.104301
- arXiv:
- arXiv:cond-mat/0104375
- Bibcode:
- 2001PhRvB..64j4301F
- Keywords:
-
- 63.20.Kr;
- 71.38.-k;
- 73.21.-b;
- 73.90.+f;
- Phonon-electron and phonon-phonon interactions;
- Polarons and electron-phonon interactions;
- Electron states and collective excitations in multilayers quantum wells mesoscopic and nanoscale systems;
- Other topics in electronic structure and electrical properties of surfaces interfaces thin films and low-dimensional structures;
- Condensed Matter - Strongly Correlated Electrons;
- Condensed Matter - Mesoscale and Nanoscale Physics
- E-Print:
- 6 pages, 7 figures, submitted to Phys. Rev. B