Plaquette bond order wave in the quarter-filled extended Hubbard model on the checkerboard lattice

Abstract

An extended Hubbard model (including nearest-neighbor repulsion and antiferromagnetic spin exchange) is investigated on the frustrated checkerboard lattice, a two-dimensional analog of the pyrochlore lattice. Combining Gutzwiller renormalized mean-field (MF) calculations, exact diagonalization (ED) techniques, and a weak-coupling renormalization group (RG) analysis we provide strong evidence for a crystalline valence bond plaquette phase at quarter-filling. The ground state is twofold degenerate and breaks translation symmetry. The bond energies show a staggering while the charge distribution remains uniform.

arXiv comment8 pages, 6 figures, published version

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Cited by in corpus (11)

• Simplex solids in SU(N) Heisenberg models on the kagome and checkerboard lattices
• Metallic phase in the two-dimensional ionic Hubbard model
• Determinant Quantum Monte Carlo Study of d-wave pairing in the Plaquette Hubbard Hamiltonian
• Doped Singlet-Pair Crystal in the Hubbard model on the checkerboard 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
• Numerical study of magnetization plateaux in the spin-1/2 Heisenberg antiferromagnet on the checkerboard lattice
• Exotic Mott phases of the extended t--J model on the checkerboard lattice at commensurate densities
• Cooperative orbital ordering and Peierls instability in the checkerboard lattice with doubly degenerate orbitals
• Mixed Columnar-Plaquette Crystal of correlated fermions on the 2D pyrochlore lattice at fractional filling
• Insulator-metal transition and quasi-flat-band of Shastry-Sutherland lattice