New DNLS Equations for Anharmonic Vibrational Impurities

TL;DR

This paper introduces new discrete nonlinear Schrödinger (DNLS) equations modeling strongly-coupled electron-vibration systems with anharmonic potentials, analyzing impurity bound states and self-trapping phenomena.

Contribution

It presents novel DNLS-like equations tailored for anharmonic vibrational impurities, expanding the theoretical framework for electron-vibration interactions.

Findings

Derived conditions for bound states of anharmonic vibrational impurities.

Analyzed dynamical self-trapping properties of the impurity.

Identified parameter regimes for localized vibrational states.

Abstract

We examine some new DNLS-like equations that arise when considering strongly-coupled electron-vibration systems, where the local oscillator potential is anharmonic. In particular, we focus on a single, rather general nonlinear vibrational impurity and determine its bound state(s) and its dynamical selftrapping properties.