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

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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.

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Authors and Affiliations

  1. Lehrstuhl für Theoretische Physik I, Technische Universität Dortmund, Otto-Hahn Straße 4, 44221, Dortmund, Germany

    Götz S. Uhrig

  2. Department of Physics, Grand Valley State University, Allendale, Michigan, 49401, USA

    Kingshuk Majumdar

Authors
  1. Götz S. Uhrig
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  2. Kingshuk Majumdar
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Correspondence to Götz S. Uhrig.

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Uhrig, G., Majumdar, K. Varied perturbation theory for the dispersion dip in the two-dimensional Heisenberg quantum antiferromagnet. Eur. Phys. J. B 86, 282 (2013). https://doi.org/10.1140/epjb/e2013-40159-3

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  • DOI: https://doi.org/10.1140/epjb/e2013-40159-3

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