Mixed Columnar-Plaquette Crystal of correlated fermions on the 2D pyrochlore lattice at fractional filling

Abstract

We study a model of strongly correlated S=1/2 fermions on the planar pyrochlore, or checkerboard, lattice, at fractional (1/8) filling. Starting with the extended Hubbard model in the limit of strong Coulomb repulsion, low-energy configurations can be mapped onto hard-core dimer configurations whose dimers carry a spin degree of freedom. An effective Hamiltonian similar to the kinetic term of a quantum dimer model on the square lattice which rotates two parallel dimers (in a spin-singlet configuration) by 90 degrees naturally emerges. We also introduce an additional term in the Hamiltonian, a generalized dimer plaquette interaction, in order to realize a closer analogy to the latter model. For a strong dimer plaquette attraction stabilizing a columnar phase, a spontaneous dimerization takes place in the direction of the columns of (spin-carrying) dimers. Using exact diagonalizations of two-dimensional periodic clusters, the analysis of the low-energy spectrum and of several types of correlation functions gives indeed evidence for a new type of lattice symmetry breaking phase, the eight-fold degenerate Mixed Columnar-Plaquette Crystal, and for a transition from this phase to a Resonating-Singlet-Pair Crystal (found in previous studies) which restores the rotational symmetry of the lattice. Similar conclusions and phase diagram are also reached from a simple variational approach.

14 pages, 15 figures

References in corpus (11)

• Supersolid hardcore bosons on the triangular lattice
• Anisotropic pyrochlores and the global phase diagram of the checkerboard antiferromagnet
• On Ising and dimer models in two and three dimensions
• Variational wavefunction study of the triangular lattice supersolid
• Correlated Fermions on a Checkerboard Lattice
• Spectral functions and optical conductivity of spinless fermions on a checkerboard lattice
• Doped Singlet-Pair Crystal in the Hubbard model on the checkerboard lattice
• Enhanced pairing in doped quantum magnets with frustrating hole motion
• Superfluid Insulator Transitions of Hard-Core Bosons on the Checkerboard Lattice
• Plaquette bond order wave in the quarter-filled extended Hubbard model on the checkerboard lattice
• Exotic Mott phases of the extended t--J model on the checkerboard lattice at commensurate densities

Cited by in corpus (1)

• Fermionic quantum dimer and fully-packed loop models on the square lattice