Staircase of crystal phases of hard-core bosons on the Kagome lattice

Abstract

We study the quantum phase diagram of a system of hard-core bosons on the Kagome lattice with nearest-neighbor repulsive interactions, for arbitrary densities, by means of the hierarchical mean field theory and exact diagonalization techniques. This system is isomorphic to the spin S=1/2 XXZ model in presence of an external magnetic field, a paradigmatic example of frustrated quantum magnetism. In the non-frustrated regime, we find two crystal phases at densities 1/3 and 2/3 that melt into a superfluid phase when increasing the hopping amplitude, in semi-quantitative agreement with quantum Monte Carlo computations. In the frustrated regime and away from half-filling, we find a series of plateaux with densities commensurate with powers of 1/3. The broader density plateaux (at densities 1/3 and 2/3) are remnants of the classical degeneracy in the Ising limit. For densities near half-filling, this staircase of crystal phases melts into a superfluid, which displays finite chiral currents when computed with clusters having an odd number of sites. Both the staircase of crystal phases and the superfluid phase prevail in the non-interacting limit, suggesting that the lowest dispersionless single-particle band may be at the root of this phenomenon.

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Cited by in corpus (11)

• Quantum phases of Rydberg atoms on a kagome lattice
• Supersolid phase of the extended Bose-Hubbard model with an artificial gauge field
• The spin-1/2 Kagome XXZ model in a field: competition between lattice nematic and solid orders
• Kinetic frustration induced supersolid in the $S=1/2$ kagome lattice antiferromagnet in a magnetic field
• Magnetization Plateau Observed by Ultra-High Field Faraday Rotation in a Kagomé Antiferromagnet Herbertsmithite
• Numerical study of magnetization plateaux in the spin-1/2 Heisenberg antiferromagnet on the checkerboard lattice
• Magnetic phase diagram and quantum phase transitions in a two-species boson model
• Systematic Analysis of Crystalline Phases in Bosonic Lattice Models with Algebraically Decaying Density-Density Interactions
• Emergent magnetic order in the antiferromagnetic Kitaev model with a [111] field
• Variational Quantum Simulation of Valence-Bond Solids
• Translation-Invariant Parent Hamiltonians of Valence Bond Crystals