The anisotropic Harper-Hofstadter-Mott model: supersolid, striped superfluid, and symmetry protected topological groundstates
Bulletin of the American Physical Society(2017)
摘要
Since the discovery of the quantum Hall effect, the lattice geometryu0027s influence on charged particles in magnetic fields has been the subject of extensive research. Prototypical models such as the non-interacting Harper-Hofstadter model (HHm) exhibit fractionalization of the Bloch bands with non-trivial topology, manifesting in quantum (spin) Hall phases. Ultracold atomic gases with artificial magnetic fields enabled the experimental study of the non-interacting model, while the effect of strong interactions on the band properties remains an open problem. In this work we study the strongly-interacting bosonic Harper-Hofstadter-Mott model (HHMm) using a reciprocal cluster mean-field (RCMF) method. We obtain a rich groundstate phase diagram featuring striped superfluid, supersolid, and symmetry protected topological (SPT) phases. At filling $nu=2$ (in contrast to fillings $nu=1, 3$) the SPT phase has no fermionic counterpart. Incompressible metastable states at fractional filling are also observed. The SPT phases in the HHMm are promising candidates for realizing strongly-correlated topological phases using cold atoms.
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