Correlated Fermions on a Checkerboard Lattice

Abstract

A model of strongly correlated spinless fermions hopping on a checkerboard lattice is mapped onto a quantum fully-packed loop model. We identify a large number of fluctuationless states specific to the fermionic case. We also show that for a class of fluctuating states, the fermionic sign problem can be gauged away. This claim is supported by numerically evaluating the energies of the low-lying states. Furthermore, we analyze in detail the excitations at the Rokhsar-Kivelson point of this model thereby using the relation to the height model and the single-mode approximation.

4 Pages, 3 Figures; v4: updated version published in Phys. Rev. Lett.; one reference added

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Cited by in corpus (24)

• Seeing the light : experimental signatures of emergent electromagnetism in a quantum spin ice
• Shannon and entanglement entropies of one- and two-dimensional critical wave functions
• Quantum Ice : a quantum Monte Carlo study
• Strongly correlated fermions on a kagome lattice
• High-dimensional fractionalization and spinon deconfinement in pyrochlore antiferromagnets
• Sweeping cluster algorithm for quantum spin systems with strong geometric restrictions
• A phase diagram for a topological Kondo insulating system
• Supersymmetric lattice fermions on the triangular lattice: superfrustration and criticality
• Doped Singlet-Pair Crystal in the Hubbard model on the checkerboard lattice
• Superfluid Insulator Transitions of Hard-Core Bosons on the Checkerboard Lattice
• Unconventional metallic conduction in two-dimensional Hubbard-Wigner lattices
• Emergent Fracton Dynamics in a Non-Planar Dimer Model
• Coulombic Charge Ice
• Systematic Analysis of Frustration Effects in Anisotropic Checkerboard Lattice Hubbard Model
• Dimensional tuning of electronic states under strong and frustrated interactions
• Mixed Columnar-Plaquette Crystal of correlated fermions on the 2D pyrochlore lattice at fractional filling
• 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
• Fractionalization as an alternate to charge ordering in electronic insulators
• Large-Amplitude Superexchange of High-Spin Fermions in Optical Lattices
• Topological glass states
• Strings in strongly correlated electron systems
• Crystalline phases and devil's staircase in qubit spin ice
• Fractionally charged excitations on frustrated lattices