Mobile small polaron

TL;DR

This paper investigates small polarons on a discrete ionic lattice, comparing their properties using perturbation theory and Monte Carlo methods, revealing that Froehlich polarons are significantly lighter than Holstein polarons.

Contribution

It extends the Froehlich polaron model to a lattice, providing new calculations of energy dispersion and effective mass using both perturbation theory and Monte Carlo simulations.

Findings

Froehlich polarons are lighter than Holstein polarons by orders of magnitude.

The study provides detailed energy and mass calculations in different regimes.

The methods used include 1/λ perturbation theory and Monte Carlo simulations.

Abstract

Extending the Froehlich polaron problem to a discrete ionic lattice we study a polaronic state with a small radius of the wave function but a large size of the lattice distortion. We calculate the energy dispersion and the effective mass of the polaron with the 1/\lambda perturbation theory and with the exact Monte Carlo method in the nonadiabatic and adiabatic regimes, respectively. The ``small'' Froehlich polaron is found to be lighter than the small Holstein polaron by one or more orders of magnitude.