Permutation cycles of hardcore Bose-Hubbard models on square and kagome lattices

@article{Shpani2020PermutationCO,
  title={Permutation cycles of hardcore Bose-Hubbard models on square and kagome lattices},
  author={Liana Shpani and Fabio Lingua and Wei Wang and Barbara Capogrosso-Sansone},
  journal={Physical Review B},
  year={2020}
}
In this paper, we study the statistics of permutation cycles of ground-state hardcore lattice bosons described by various two-dimensional Bose-Hubbard-type models on both square and Kagome lattices. We find that it is possible to differentiate quantum phases by the statistics of permutations cycles. Indeed, features in the permutation cycles statistics can be used to uniquely identify certain insulating phases, and are consistent with local resonances of occupation numbers in the ground-state… 

Figures from this paper

References

SHOWING 1-10 OF 21 REFERENCES
Z 2 topological liquid of hard-core bosons on a kagome lattice at 1 / 3 filling
We consider hard-core bosons on the kagome lattice in the presence of short-range repulsive interactions and focus particularly on the filling factor $1/3$. In the strongly interacting limit, the
Hard-core bosons on the kagome lattice: valence-bond solids and their quantum melting.
TLDR
Using large scale quantum Monte Carlo simulations and dual vortex theory, the ground state phase diagram of hard-core bosons on the kagome lattice with nearest-neighbor repulsion is analyzed, providing evidence for a weakly first-order phase transition at the quantum melting point between these solid phases and the superfluid.
Long Cycles in the Infinite-Range-Hopping Bose-Hubbard Model with Hard Cores
In this paper we study the relation between long cycles and Bose-Condensation in the Infinite range Bose-Hubbard Model with a hard core interaction. We calculate the density of particles on long
Fractionalization in an easy-axis Kagome antiferromagnet
We study an antiferromagnetic spin-$1/2$ model with up to third nearest-neighbor couplings on the Kagome lattice in the easy-axis limit, and show that its low-energy dynamics are governed by a
Percolation transition in the Bose gas
The canonical partition function of a Bose gas gives rise to a probability distribution over the permutations of N particles. The author studies the probability and mean value of the cycle lengths in
Quantum phases of cold polar molecules in 2D optical lattices.
TLDR
The quantum phases of hard-core bosonic polar molecules on a two-dimensional square lattice interacting via repulsive dipole-dipole interactions are studied, establishing the existence of extended regions of parameters where the ground state is a supersolid.
Quantum phase transitions in the two-dimensional hardcore boson model
We use two quantum Monte Carlo algorithms to map out the phase diagram of the two-dimensional hardcore boson Hubbard model with near (V 1 ) and next near (V 2 ) neighbor repulsion. At half filling we
Structure, Bose-Einstein condensation, and superfluidity of two-dimensional confined dipolar assemblies
Low temperature properties of harmonically confined two-dimensional assemblies of dipolar bosons are systematically investigated by Monte Carlo simulations. Calculations carried out for different
Topological entanglement entropy of a Bose-Hubbard spin liquid
Spin liquids are states of matter that reside outside the regime where the Landau paradigm for classifying phases can be applied. This makes them interesting, but also hard to find, as no
Absence of Superfluidity in 2D Dipolar Bose Striped Crystals
We present results of computer simulations at low temperature of a two-dimensional system of dipolar bosons, with dipole moments aligned at an arbitrary angle with respect to the direction
...
...