We review recent advances in the theoretical modelling of π-conjugated polymers. Our
emphasis is on quasi-one-dimensional π-electron models that include both electron-phonon …

Through an application of the quantum Monte Carlo technique, we investigate the thermal
equilibrium properties of the one-dimensional model proposed by Davydov for the …

In this article we revisit from a contemporary perspective a classic problem of polaron theory
in one space dimension following the variational approach originally taken by Toyozawa …

We present polaron effective masses and selected polaron band structures of the Holstein
molecular crystal model in one dimension as computed by the Global-Local variational …

We apply weak-coupling perturbation theory and strong-coupling perturbation theory to the
Holstein molecular crystal model in order to elucidate the effects of anisotropy on polaron …

A simple yet reliable valence bond theory was applied to ascertain the effective size and
shape for the electron and hole polarons in bulk anatase TiO2 by examining the extent of …

We have studied a time-independent nonlinear Schrödinger equation of the tight-binding
form on a one-dimensional lattice. The real and complex wave functions as solutions to the …

An exact-diagonalization technique is used to investigate the low-lying excited polaron
states in the Holstein model for the infinite one-dimensional lattice. For moderate values of …

In this paper we revisit from a contemporary perspective a classic problem of polaron theory
in one dimension using a new variational approach generalizing that of Toyozawa, based …

We developed a method based on functional integration to treat the dynamics of polarons in
one-dimensional systems. We treat the acoustical and the optical case in a unified manner …