Hard-core bosons in flat band systems above the critical density
Institut für Theoretische Physik, University of Heidelberg,
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Received in final form: 21 July 2017
Published online: 13 November 2017
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.
Key words: Solid State and Materials
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2017