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Hard-core bosons in flat band systems above the critical density

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  • Moritz Drescher

    (Institut für Theoretische Physik, University of Heidelberg)

  • Andreas Mielke

    (Institut für Theoretische Physik, University of Heidelberg)

Abstract

We investigate the behaviour of hard-core bosons in one- and two-dimensional flat band systems, the chequerboard and the kagomé lattice and one-dimensional analogues thereof. The one-dimensional systems have an exact local reflection symmetry which allows for exact results. We show that above the critical density an additional particle forms a pair with one of the other bosons and that the pair is localised. In the two-dimensional systems exact results are not available but variational results indicate a similar physical behaviour.

Suggested Citation

  • Moritz Drescher & Andreas Mielke, 2017. "Hard-core bosons in flat band systems above the critical density," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(11), pages 1-8, November.
  • Handle: RePEc:spr:eurphb:v:90:y:2017:i:11:d:10.1140_epjb_e2017-80218-1
    DOI: 10.1140/epjb/e2017-80218-1
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    Solid State and Materials;

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