Varied Perturbation Theory for the Dispersion Dip in the Two-Dimensional Heisenberg Quantum Antiferromagnet

TL;DR

This paper improves the understanding of the magnon dispersion dip in the 2D Heisenberg antiferromagnet by applying varied perturbation theory and the principle of minimal sensitivity, offering a better magnon description.

Contribution

It introduces the use of varied perturbation theory and minimal sensitivity to enhance magnon dispersion analysis in quantum antiferromagnets.

Findings

Enhanced magnon dispersion description using advanced evaluation schemes

Application of minimal sensitivity improves theoretical predictions

Provides a framework for similar correlated systems

Abstract

We study the roton-like dip in the magnon dispersion at the boundary of the Brillouin zone in the isotropic S=1/2 Heisenberg quantum antiferromagnet. This high-energy feature is sometimes seen as indication of a fractionalization of the magnons to spinons. In this article, we provide evidence that the description of the dip in terms of magnons can be improved significantly by applying more advanced evaluation schemes. In particular, we illustrate the usefulness of the application of the principle of minimal sensitivity in varied perturbation theory. Thereby, we provide an example for the application of this approach to an extended condensed matter problem governed by correlations which can trigger analogous investigations for many other systems.