Spectral functions and optical conductivity of spinless fermions on a checkerboard lattice

Abstract

We study the dynamical properties of spinless fermions on the checkerboard lattice. Our main interest is the limit of large nearest-neighbor repulsion $V$ as compared with hopping $|t|$. The spectral functions show broad low-energy excitation which are due to the dynamics of fractionally charged excitations. Furthermore, it is shown that the fractional charges contribute to the electrical current density.

9 Pages, 9 Figures

References in corpus (6)

• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Three dimensional resonating valence bond liquids and their excitations
• Cyclic exchange, isolated states and spinon deconfinement in an XXZ Heisenberg model on the checkerboard lattice
• Spin-Charge Separation in Two-dimensional Frustrated Quantum Magnets
• Metal-insulator transition in the quarter- filled frustrated checkerboard lattice
• Hardcore bosons on checkerboard lattices near half filling: geometric frustration, vanishing charge order and fractional phase

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• Systematic Analysis of Frustration Effects in Anisotropic Checkerboard Lattice Hubbard Model
• On confined fractional charges: a simple model
• 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
• Interacting spinless fermions on the square lattice: Charge order, phase separation, and superconductivity
• Charge degrees in the quarter-filled checkerboard lattice
• Fractionally charged excitations on frustrated lattices