Band-structure effects on superconductivity in Hubbard models

Abstract

We study the influence of the band structure on the symmetry and superconducting transition temperature in the (solvable) weak-coupling limit of the repulsive Hubbard model. Among other results we find: 1) As a function of increasing nematicity, starting from the square lattice (zero nematicity) limit where nodal d-wave state is strongly preferred, there is a smooth evolution to the quasi-1D limit, where a striking near-degeneracy is found between a p-wave- and a d-wave-type paired states with accidental nodes on the quasi-one-dimensional Fermi surfaces---a situation which may be relevant to the Bechgaard salts. 2) In a bilayer system, we find a phase transition as a function of increasing bilayer coupling from a d-wave to an $s_{\pm }$-wave state reminiscent of the iron-based superconductors. 3) When an antinodal gap is produced by charge-density-wave order, not only is the pairing scale reduced, but the symmetry of the pairs switches from $d_{x^2-y^2}to$d_{xy}$; in the context of the cuprates, this suggests that were the pseudo-gap entirely due to a competing order, this would likely cause a corresponding symmetry change of the superconducting order (which is not seen in experiment).

15 pages, 13 figures. Updated Version

References in corpus (12)

• Magnetism, superconductivity, and pairing symmetry in Fe-based superconductors
• Funtional Renormalization Group Study of the Pairing Symmetry and Pairing Mechanism of the FeAs Based High Temperature Superconductors
• Striped superconductors: How the cuprates intertwine spin, charge and superconducting orders
• Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution
• Pairing State with a time-reversal symmetry breaking in FeAs based superconductors
• Orbital currents in extended Hubbard models of high-T${}_c$ cuprates
• Valley density-wave and multiband superconductivity in Fe-pnictides
• Theory for Magnetism and Triplet Superconductivity in LiFeAs
• Myriad phases of the Checkerboard Hubbard Model
• Gapless Spin Liquids: Stability and Possible Experimental Relevance
• Enhanced Pairing in the "Checkerboard" Hubbard Ladder
• Suppression of d-wave superconductivity in the checkerboard Hubbard model

Cited by in corpus (38)

• Theory of Intertwined Orders in High Temperature Superconductors
• Robust $d_{x^2-y^2}$-wave superconductivity of infinite-layer nickelates
• Functional Renormalization Group for multi-orbital Fermi Surface Instabilities
• A proposal for reconciling diverse experiments on the superconducting state in Sr2RuO4
• Pairing symmetry and dominant band in Sr2RuO4
• Superconductivity from weak repulsion in hexagonal lattice systems
• Evidence from Tunneling Spectroscopy for a Quasi-One Dimensional Origin of Superconductivity in Sr2RuO4
• Large Chern Number and Edge Currents in Sr2RuO4
• Pair-density-wave and chiral superconductivity in twisted bilayer transition-metal-dichalcogenides
• Inhomogeneous time-reversal symmetry breaking in ${\mathrm{Sr}}_2\mathrm{Ru}{\mathrm{O}}_4$
• Superconducting order of ${\mathrm{Sr}}_2{\mathrm{RuO}}_4$ from a three-dimensional microscopic model
• Multilayer graphenes as a platform for interaction-driven physics and topological superconductivity
• Topological Properties of Time Reversal Symmetric Kitaev Chain and Applications to Organic Superconductors
• Triplet Superconductivity from Nonlocal Coulomb Repulsion in an Atomic Sn Layer Deposited onto a Si(111) Substrate
• Unconventional superconductivity in the extended Hubbard model: Weak-coupling renormalization group
• Spin-orbit coupled superconductivity: Rashba-Hubbard model on the square lattice
• Anisotropy of magnetic interactions and symmetry of the order parameter in unconventional superconductor Sr${}_2$RuO${}_4$
• Ground state phase diagram of the half-filled bilayer Hubbard model
• Nematic, chiral and topological superconductivity in transition metal dichalcogenides
• Understanding repulsively mediated superconductivity of correlated electrons via massively parallel DMRG
• Superconducting pairing in the spin-density-wave phase of iron pnictides
• Superconducting phase diagram of itinerant antiferromagnets
• Novel superconducting phenomena in quasi-one-dimensional Bechgaard salts
• Spin-triplet superconductivity in a weak-coupling Hubbard model for the quasi-one-dimensional compound Li${}_{0.9}$Mo${}_6$O${}_{17}$
• Higher angular momentum pairing states in Sr${}_2$RuO${}_4$ in the presence of longer-range interactions
• From high-$T_c$ to low-$T_c$: Multi-orbital effects in transition metal oxides
• Topological superconductivity on the honeycomb lattice: Effect of normal state topology
• Degeneracy between even- and odd-parity superconductivity in the quasi-1D Hubbard model and implications for Sr2RuO4
• Magnetic fluctuations and superconducting pairing in $\epsilon$-iron
• Doping asymmetry of superconductivity coexisting with antiferromagnetism in spin fluctuation theory
• Higher-order topological superconductivity in monolayer WTe${}_2$ from repulsive interactions
• Spin-orbit coupling and odd-parity superconductivity in the quasi-one-dimensional compound Li${}_{0.9}$Mo${}_6$O${}_{17}$
• Lifshitz transition enhanced triplet $p_z$-wave superconductivity in hydrogen doped KCr${}_3$As${}_3$
• Topological superconductivity from transverse optical phonons in oxide heterostructures
• Evolution of superconducting gap anisotropy in hole-doped 122 iron pnictides
• Pairing around a Single Dirac Point: A Unifying View of Kohn-Luttinger Superconductivity in Chern Bands, Quarter Metals, and Topological Surface States
• Order by projection in single-band Hubbard model: a DMRG study
• Hydrogen Doping Induced $p_x\pm i{p}_y$ Triplet Superconductivity in Quasi-One-Dimensional K${}_2$Cr${}_3$As${}_3$