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

Moritz Drescher and Andreas Mielke ()
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Moritz Drescher: Institut für Theoretische Physik, University of Heidelberg
Andreas Mielke: Institut für Theoretische Physik, University of Heidelberg

The European Physical Journal B: Condensed Matter and Complex Systems, 2017, vol. 90, issue 11, 1-8

Abstract: 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.

Keywords: Solid; State; and; Materials (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1140/epjb/e2017-80218-1

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