Ruprecht-Karls-Universität Heidelberg
University of HeidelbergFaculty of Physics and AstronomyInstitut of Theoretical PhysicsAndreas MielkeAndreas Mielkeemail

Andreas Mielke
Institut for Theoretical Physics
Ruprecht-Karls University
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D-69120 Heidelberg
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Moritz Drescher, Andreas Mielke: Hard-core bosons in flat band systems above the critical density
Eur. Phys. J. B90, 217 (2017) .

Archiv: arXiv:1704.03905


We investigate the behaviour of hard-core bosons in one- and two-dimensional flat band systems, the chequerboard and the kagom\'e 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.


author="Moritz Drescher, Andreas Mielke",
title="Hard-core bosons in flat band systems above the critical density",
journal="Eur. Phys. J. B",

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Last changes: 20.1.2018.