Valence Bond Solids and Their Quantum Melting in Hard-Core Bosons on the Kagome Lattice

Details Valence Bond Solids and Their Quantum Melting in Hard-Core Bosons on the Kagome Lattice Valence Bond Solids and Their Quantum Melting in Hard-Core Bosons on the Kagome Lattice

2006-02-17

arxiv.org/abs/cond-mat/0602430v2

Phys. Rev. Lett. 97, 147202 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 7 figures

Scientific paper

10.1103/PhysRevLett.97.147202

Using large scale quantum Monte Carlo simulations and dual vortex theory we analyze the ground state phase diagram of hard-core bosons on the kagome lattice with nearest neighbor repulsion. In contrast to the case of a triangular lattice, no supersolid emerges for strong interactions. While a uniform superfluid prevails at half-filling, two novel solid phases emerge at densities $\rho=1/3$ and $\rho=2/3$. These solids exhibit an only partial ordering of the bosonic density, allowing for local resonances on a subset of hexagons of the kagome lattice. We provide evidence for a weakly first-order phase transition at the quantum melting point between these solid phases and the superfluid.

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