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# Correlated Phases of Bosons in the Flat Lowest Band of the Dice Lattice

Möller, Gunnar, Cooper, N R (2012) Correlated Phases of Bosons in the Flat Lowest Band of the Dice Lattice. Physical Review Letters, 108 (4). ISSN 0031-9007. (doi:10.1103/PhysRevLett.108.045306)

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http://dx.doi.org/10.1103/PhysRevLett.108.045306

## Abstract

We study correlated phases occurring in the flat lowest band of the dice lattice model at flux density one half. We discuss how to realize the dice lattice model, also referred to as the $\mathcal{T}_3$ lattice, in cold atomic gases. We construct the projection of the model to the lowest dice band, which yields a Hubbard-Hamiltonian with interaction-assisted hopping processes. We solve this model for bosons in two limits. In the limit of large density, we use Gross-Pitaevskii mean-field theory to reveal time-reversal symmetry breaking vortex lattice phases. At low density, we use exact diagonalization to identify three stable phases at fractional filling factors $\nu$ of the lowest band, including a classical crystal at $\nu=1/3$, a supersolid state at $\nu=1/2$ and a Mott insulator at $\nu=1$.

Item Type: Article 10.1103/PhysRevLett.108.045306 Physics of Quantum Materials, superfluids, flat bands, projective dynamics, time reversal symmetric, emergence, Aharonov-Bohm cages, Physics of Quantum Materials Q Science > QC Physics > QC173.45 Condensed Matter Faculties > Sciences > School of Physical SciencesFaculties > Sciences > School of Physical Sciences > Functional Materials Group Gunnar Moller 29 Sep 2016 14:56 UTC 17 Jul 2019 11:15 UTC https://kar.kent.ac.uk/id/eprint/55567 (The current URI for this page, for reference purposes) https://orcid.org/0000-0001-8986-0899
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