Unconventional Superconducting Symmetry in a Checkerboard Antiferromagnet

Abstract

We use a renormalized mean field theory to study the Gutzwiller projected BCS states of the extended Hubbard model in the large $U$ limit, or the $t$-$t^{\prime }$-$J$-$J^{\prime }$ model on a two-dimensional checkerboard lattice. At small $t^{\prime }/t$, the frustration due to the diagonal terms of $t^{\prime }$ and $J^{\prime }$ does not alter the $d_{x^2-y^2}$-wave pairing symmetry, and the negative (positive) $t^{\prime }/t$ enhances (suppresses) the pairing order parameter. At large $t^{\prime }/t$, the ground state has an extended s-wave symmetry. At the intermediate $t^{\prime }/t$, the ground state is $d+id$ or $d+is$-wave with time reversal symmetry broken.

arXiv comment6 pages, 6 figures

References in corpus (19)

• Spin Liquid State in an Organic Mott Insulator with Triangular Lattice
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• The Physics Behind High-Temperature Superconducting Cuprates: The "Plain Vanilla" Version Of RVB
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• An Electronic Model for $Co{O}_2$ layer based systems: Chiral RVB metal and Superconductivity
• Superconductivity in CoO${}_2$ Layers and the Resonating Valence Bond Mean Field Theory of the Triangular Lattice t-J model
• Superconducting states in frustrating t-J model: A model connecting high-$T_c$ cuprates, organic conductors and Na${}_x$CoO${}_2$
• Anisotropic pyrochlores and the global phase diagram of the checkerboard antiferromagnet
• Bond order from disorder in the planar pyrochlore magnet
• Ga NMR study of the local susceptibility in SrCr8Ga4O19: pseudogap and paramagnetic defects
• Thermal Conductivity of the Pyrochlore Superconductor KOs2O6: Strong Electron Correlations and Fully Gapped Superconductivity
• Spin-Charge Separation in Two-dimensional Frustrated Quantum Magnets
• A new paradigm for two-dimensional spin-liquids
• Geometrical frustration induced (semi-)metal to insulator transition
• Spinon deconfinement in doped frustrated quantum antiferromagnets
• Superconducting Pairing Symmetries in Anisotropic Triangular Quantum Antiferromagnets
• Metal-to-Insulator Transition, Spin Gap Generation, and Charge Ordering in Geometrically Frustrated Electron Systems
• Competing Orders and Superconductivity in the Doped Mott Insulator on the Shastry-Sutherland Lattice
• Enhanced pairing in doped quantum magnets with frustrating hole motion

Cited by in corpus (7)

• Quantum frustration in organic Mott insulators: from spin liquids to unconventional superconductors
• Determinant Quantum Monte Carlo Study of d-wave pairing in the Plaquette Hubbard Hamiltonian
• s-wave Superconductivity Phase Diagram in the Inhomogeneous Two-Dimensional Attractive Hubbard Model
• Systematic Analysis of Frustration Effects in Anisotropic Checkerboard Lattice Hubbard Model
• Supersolid phases of a doped valence-bond quantum antiferromagnet: Evidence for a coexisting superconducting order parameter
• Competition between $d$-wave and $d$+$is$-wave superconductivity in the Hubbard model on a checkerboard lattice
• Insulator-metal transition and quasi-flat-band of Shastry-Sutherland lattice