Existence of bound states of a polaron with a breather in soft potentials

Abstract

We consider polarons in models of coupled electronic and vibrational degrees of freedom, in the presence of a soft nonlinear substrate potential (Morse potential). In particular, we focus on a bound state of a polaron with a breather, a so-called “polarobreather.” We analyze the existence of these states based on frequency resonance conditions and illustrate their stability using Floquet spectrum techniques. Multisite solutions of this type are also obtained both in the stationary case (bond-centered and twisted polarons) and in the breathing case (bond-centered and twisted polarobreathers). For all the branches examined, the dynamical evolution of instabilities pertinent to the corresponding solutions are also briefly discussed. Finally, a different branch of so-called phantom polarobreathers is also demonstrated.