# Localised Pair Formation in Bosonic Flat-Band Hubbard Models

@article{Fronk2020LocalisedPF, title={Localised Pair Formation in Bosonic Flat-Band Hubbard Models}, author={Jacob Fronk and Andreas Mielke}, journal={Journal of Statistical Physics}, year={2020}, volume={185} }

Flat-band systems are ideal model systems to study strong correlations. In a large class of one or two dimensional bosonic systems with a lowest flat-band it has been shown that at a critical density the ground states are Wigner crystals. Under very special conditions it has been shown that pair formation occurs if one adds another particle to the system. The present paper extends this result to a much larger class of lattices and to a much broader region in the parameter space. Further, a…

## One Citation

### Mott-insulator-like Bose-Einstein condensation in a tight-binding system of interacting bosons with a flat band

- Physics, EducationPhysical Review Research
- 2021

Hosho Katsura, 2, 3 Naoki Kawashima, Satoshi Morita, Akinori Tanaka, and Hal Tasaki Department of Physics, Graduate School of Science, The University of Tokyo, 7-3-1 Hongo, Tokyo 113-0033, Japan…

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