Analytical study of kinklike structures with polynomial tails

TL;DR

This paper analytically explores scalar field models supporting kink-like structures with polynomial tails, revealing new asymmetric solutions with potential applications in statistical mechanics and quantum systems.

Contribution

It introduces novel potentials supporting massless minima and long-range kink solutions, expanding understanding of topological structures with polynomial decay.

Findings

Discovered families of asymmetric kink solutions

Analyzed linear stability of the solutions

Identified potential applications in quantum and statistical physics

Abstract

This work deals with models described by a single real scalar field in two-dimensional spacetime. The aim is to propose potentials that support massless minima and investigate the presence of kinklike structures that engender polynomial tails. The results unveil the presence of families of asymmetric solutions with energy density and linear stability that behave adequately, enhancing the importance of the analytical study. We stress that the novel topological structures which we find in this work engender long range interactions that are of current interest to statistical mechanics, dipolar quantum gases and the study of quantum information with Rydberg atoms.