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Supersolids in the Bose-Hubbard Hamiltonian

G. G. Batrouni·R. T. Scalettar·G. T. Zimanyi·A. P. Kampf
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Abstract

We use a combination of numeric and analytic techniques to determine the groun d state phase diagram of the Bose--Hubbard Hamiltonian with longer range repulsi ve interactions. At half filling one finds superfluidity and an insulating solid phase. Depending on the relative sizes of near--neighbor and next near--neighbor interactions, this solid either follows a checkerboard or a striped pattern. In neither case is there a coexistence with superfluidity. However upon doping ``supersolid'' phases appear with simultaneous diagonal and off--diagonal long range order.

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G. G. Batrouni, R. T. Scalettar, G. T. Zimanyi, A. P. Kampf. 1994-04-14. Supersolids in the Bose-Hubbard Hamiltonian. https://doi.org/10.1103/physrevlett.74.2527

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