Quantum disordered ground state for hard-core bosons on the frustrated square lattice

Abstract

We investigate the phase diagram of hard-core bosons on a square lattice with competing interactions. The hard-core bosons can be represented also by spin-1/2 operators and the model can therefore be mapped onto an anisotropic $J_1$-$J_2$-Heisenberg model. We find the Néel state and a collinear antiferromagnetic state as classical ordered phases to be suppressed for small ferromagnetic exchange terms $J_{1,2}^{x,y}$ and a ferromagnetic phase which orders in the x-y-plane for large $J_{1,2}^{x,y}$. For an intermediate regime the emergence of new quantum states like valence bond crystals or super-solids is predicted for similar models. We do not observe any signal for long-range order in terms of conventional order or dimer correlations in our model and find an exponential decay in the spin correlations. Hence, all evidence is pointing towards a quantum disordered ground state for a small region in the phase diagram.

8 pages, 9 figures; version 3 includes erratum Phys. Rev. B 84, 219902(E) (2011): correction of formulas in Sec. III and replacement of "DPT transition line" in Fig. 1, (no other changes)

References in corpus (12)

• The ALPS project release 1.3: open source software for strongly correlated systems
• Supersolid hardcore bosons on the triangular lattice
• Feedback-optimized parallel tempering Monte Carlo
• Generalized Directed Loop Method for Quantum Monte Carlo Simulations
• Plaquette valence bond solid in the frustrated Heisenberg quantum antiferromagnet on the square lattice
• Putting competing orders in their place near the Mott transition
• Phase diagram of the Ising square lattice with competing interactions
• Supersolidity from defect-condensation in the extended boson Hubbard model
• Second-order quantum corrections for the frustrated, spatially anisotropic, spin-1/2 Heisenberg antiferromagnet on a square lattice
• Supersolid phases in the extended boson hubbard model
• Simulations of Quantum XXZ Models on Two-Dimensional Frustrated Lattices
• Monte Carlo studies of the Ising square lattice with competing interactions

Cited by in corpus (7)

• Analysis of the phase transition for the Ising model on the frustrated square lattice
• Anisotropic frustrated Heisenberg model on the honeycomb lattice
• The Quantum Cluster Variational Method and the Phase Diagram of the quantum ferromagnetic $J_1$-$J_2$ model
• Dynamical lattice instability versus spin liquid state in a frustrated spin chain system
• Phase Structure of Repulsive Hard-Core Bosons in a Stacked Triangular Lattice
• Bose-Hubbard model with occupation-parity couplings
• Quantum disordered ground state for the frustrated square lattice