Myriad phases of the Checkerboard Hubbard Model

Abstract

The zero temperature phase diagram of the checkerboard Hubbard model is obtained in the solvable limit in which it consists of weakly coupled square plaquettes. As a function of the on-site Coulomb repulsion U and the density of holes per site, x, we demonstrate the existence of at least 16 distinct phases. For instance, at zero doping, the ground state is a novel d-wave Mott insulator (d-Mott), which is not adiabatically continuable to a band insulator; by doping the d-Mott state with holes, depending on the magnitude of U, it gives way to a d-wave superconducting state, a two-flavor spin-1/2 Fermi liquid (FL), or a spin-3/2 FL.

4 pages, 2 figures, minor revisions, published in Phys. Rev. B as a Rapid Communication

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• Distinct trivial phases protected by a point-group symmetry in quantum spin chains
• Band-structure effects on superconductivity in Hubbard models
• Preparation and detection of d-wave superfluidity in two-dimensional optical superlattices
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• d-Wave Superfluidity in Optical Lattices of Ultracold Polar Molecules
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