Doped Singlet-Pair Crystal in the Hubbard model on the checkerboard lattice

Abstract

In the limit of large nearest--neighbor and on--site Coulomb repulsions, the Hubbard model on the planar pyrochlore lattice maps, near quarter-filling, onto a doped quantum fully packed loop model. The phase diagram exhibits at quarter filling a novel quantum state of matter, the Resonating Singlet-Pair Crystal, an insulating phase breaking lattice symmetry. Properties of a few doped holes are investigated. In contrast to the doped quantum antiferromagnet, phase separation is restricted to very small hopping leaving an extended``window'' for superconducting pairing. However the later is more fragile for large hopping than in the case of the antiferromagnet.

arXiv comment4 pages, 5 figures

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• Determinant Quantum Monte Carlo Study of d-wave pairing in the Plaquette Hubbard Hamiltonian
• Interplay of charge and spin fluctuations of strongly interacting electrons on the kagome lattice
• Quantum Melting of Valence Bond Crystal Insulators and Novel Supersolid Phase at Commensurate Density
• Systematic Analysis of Frustration Effects in Anisotropic Checkerboard Lattice Hubbard Model
• Criticality of a classical dimer model on the triangular lattice
• Mixed Columnar-Plaquette Crystal of correlated fermions on the 2D pyrochlore lattice at fractional filling
• Cooperative orbital ordering and Peierls instability in the checkerboard lattice with doubly degenerate orbitals
• Exotic Mott phases of the extended t--J model on the checkerboard lattice at commensurate densities
• Fermionic quantum dimer and fully-packed loop models on the square lattice
• D-wave superconductivity in boson+fermion dimer models
• Solvable models for 2+1D quantum critical points: Loop soups of 1+1D conformal field theories