Regular Article

The European Physical Journal B

, 86:282

First online:

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

  • Götz S. UhrigAffiliated withLehrstuhl für Theoretische Physik I, Technische Universität Dortmund Email author 
  • , Kingshuk MajumdarAffiliated withDepartment of Physics, Grand Valley State University

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


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.


Solid State and Materials