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- Title
Hard-core bosons in flat band systems above the critical density.
- Authors
Drescher, Moritz; Mielke, Andreas
- 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.
- Subjects
BOSONS; BOSE-Einstein condensation; METAL-insulator transitions; ENERGY-band theory of solids; OPTICAL lattices; HUBBARD model
- Publication
European Physical Journal B: Condensed Matter, 2017, Vol 90, Issue 11, p1
- ISSN
1434-6028
- Publication type
Article
- DOI
10.1140/epjb/e2017-80218-1