A striped supersolid phase and the search for deconfined quantum criticality in hard-core bosons on the triangular lattice

Abstract

Using large-scale quantum Monte Carlo simulations we study bosons hopping on a triangular lattice with nearest (V) and next-nearest (V') neighbor repulsive interactions. In the limit where V=0 but V' is large, we find an example of an unusual period-three striped supersolid state that is stable at 1/2-filling. We discuss the relationship of this state to others on the rich ground-state phase diagram, which include a previously-discovered nearest-neighbor supersolid, a uniform superfluid, as well as several Mott insulating phases. We study several superfluid- and supersolid-to-Mott phase transitions, including one proposed by a recent phenomenological dual vortex field theory as a candidate for an exotic deconfined quantum critical point. We find no examples of unconventional quantum criticality among any of the interesting phase transitions in the model.

10 pages, 11 figures: new data for superfluid density anisotropy

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• "Deconfined" quantum critical points
• Bose-Einstein condensation of chromium
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Supersolid hardcore bosons on the triangular lattice
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• Putting competing orders in their place near the Mott transition
• Density wave and supersolid phases of correlated bosons in an optical lattice
• Spin nematics and magnetization plateau transition in anisotropic Kagome magnets
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• Competing orders II: the doped quantum dimer model
• On the Melting of Bosonic Stripes

Cited by in corpus (8)

• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• Supersolidity from defect-condensation in the extended boson Hubbard model
• Phase Diagram of Interacting Bosons on the Honeycomb Lattice
• Superfluid Insulator Transitions of Hard-Core Bosons on the Checkerboard Lattice
• Spin correlations near the edge as probe of Dimer order in square-lattice Heisenberg models
• Barriers to Macroscopic Superfluidity and Insulation in a 2D Aubry-André Model
• Emergent Spin Supersolids in Frustrated Quantum Materials
• Dissipationless dynamics of spin supersolid states in a spin-1/2 triangular antiferromagnet with impurities