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Quantum Domain Walls Induce Incommensurate Supersolid Phase on the Anisotropic Triangular Lattice
Xue-Feng Zhang1,2,3, Shijie Hu1, Axel Pelster1
1Physics Department and Research Center OPTIMAS, University of Kaiserslautern, 67663 Kaiserslautern, Germany.
Physical Review Letters
|November 19, 2016
Summary
Researchers explored the Bose-Hubbard model on a triangular lattice, discovering an incommensurate supersolid phase driven by frustration and topological defects. This phase exhibits unique density and superfluid properties.
Area of Science:
- Condensed Matter Physics
- Quantum Many-Body Systems
- Statistical Mechanics
Background:
- The extended hard-core Bose-Hubbard model is crucial for understanding quantum phases in interacting boson systems.
- Investigating anisotropic effects in lattice models reveals novel emergent phenomena.
- Frustration and topological defects are key to complex phase diagrams.
Purpose of the Study:
- To explore the phase diagram of the Bose-Hubbard model on a triangular lattice under spatial anisotropy.
- To characterize the emergent incommensurate supersolid phase and its underlying mechanisms.
- To investigate the role of topological defects in driving novel quantum phases.
Main Methods:
- Theoretical investigation of the extended hard-core Bose-Hubbard model.
- Analysis of spatial anisotropy in hopping and nearest-neighbor interactions.
- Quantum Monte Carlo simulations to validate theoretical predictions.
Main Results:
- Tuning anisotropy transitions the system between 1D chains and a 2D solid phase.
- An intermediate anisotropy reveals an incommensurate supersolid phase due to frustration.
- This supersolid phase is characterized by anisotropic superfluid density and topological defects (domain walls).
- Structure factor peaks confirm the linear relationship between wave vectors and domain wall numbers.
Conclusions:
- The study identifies a novel incommensurate supersolid phase in an anisotropic triangular lattice Bose-Hubbard model.
- Topological defects, specifically quantum bosonic domain walls, are fundamental to the emergence of this phase.
- Findings offer insights into supersolid behavior and potential connections to high-temperature superconductivity.
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