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Supersolid order from disorder: hard-core bosons on the triangular lattice
R G Melko1, A Paramekanti, A A Burkov
1Department of Physics, University of California, Santa Barbara, California 93106, USA.
Physical Review Letters
|October 4, 2005
Summary
We found that hard-core bosons on a triangular lattice can remain superfluid even with strong repulsion. A stable supersolid phase emerges from an order-by-disorder mechanism in this strongly correlated system.
Area of Science:
- Condensed matter physics
- Quantum many-body systems
- Ultracold atomic gases
Background:
- Mott localization and geometric frustration are key phenomena in quantum many-body systems.
- Hard-core bosons on lattices exhibit complex behaviors influenced by interactions and geometry.
- Understanding the interplay of these factors is crucial for designing novel quantum states.
Purpose of the Study:
- To investigate the phase diagram of hard-core bosons with nearest-neighbor repulsion on a triangular lattice.
- To explore the stability of superfluidity under strong correlation and geometric frustration.
- To identify emergent ordered phases in strongly correlated bosonic systems.
Main Methods:
- Bosonic dynamical mean-field theory (BDMFT)
- Quantum Monte Carlo simulations
- Renormalization group analysis
Main Results:
- Superfluidity persists for arbitrarily large nearest-neighbor repulsion at half filling.
- Diagonal solid order emerges in the strongly correlated regime via an order-by-disorder mechanism.
- A stable supersolid phase is identified for hard-core lattice bosons at commensurate filling.
Conclusions:
- The triangular lattice provides a unique platform for realizing exotic quantum phases.
- Geometric frustration and strong correlations can lead to unexpected emergent phenomena like stable supersolids.
- This work offers insights into the rich physics of interacting bosons in low dimensions.