Eur. Phys. J. B (2013) 86: 282
https://doi.org/10.1140/epjb/e2013-40159-3

Regular Article

Varied perturbation theory for the dispersion dip in the two-dimensional Heisenberg quantum antiferromagnet

¹ Lehrstuhl für Theoretische Physik I, Technische Universität Dortmund, Otto-Hahn Straße 4, 44221 Dortmund, Germany
² Department of Physics, Grand Valley State University, Allendale, Michigan 49401, USA

^a e-mail: goetz.uhrig@tu-dortmund.de

Received: 25 February 2013
Received in final form: 29 April 2013
Published online: 19 June 2013

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.