Myriad phases of the Checkerboard Hubbard Model

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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

Scientific paper

10.1103/PhysRevB.76.161104

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.

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