D-wave superconductivity in boson+fermion dimer models

Abstract

We present a slave-particle mean-field study of the mixed boson+fermion quantum dimer model introduced by Punk, Allais, and Sachdev [PNAS 112, 9552 (2015)] to describe the physics of the pseudogap phase in cuprate superconductors. Our analysis naturally leads to four charge e fermion pockets whose total area is equal to the hole doping p, for a range of parameters consistent with the t-J model for high temperature superconductivity. Here we find that the dimers are unstable to d-wave superconductivity at low temperatures. The region of the phase diagram with d-wave rather than s-wave superconductivity matches well with the appearance of the four fermion pockets. In the superconducting regime, the dispersion contains eight Dirac cones along the diagonals of the Brillouin zone.

12 pages, 3 figures

References in corpus (10)

• Atomic quantum simulator for lattice gauge theories and ring exchange models
• On the Reconstructed Fermi Surface in the Underdoped Cuprates
• On bipartite Rokhsar-Kivelson points and Cantor deconfinement
• On Ising and dimer models in two and three dimensions
• Identification of an RVB liquid phase in a quantum dimer model with competing kinetic terms
• Confinement transition to density wave order in metallic doped spin liquids
• Doped Singlet-Pair Crystal in the Hubbard model on the checkerboard lattice
• Superfluid Insulator Transitions of Hard-Core Bosons on the Checkerboard Lattice
• Engineering exotic phases for topologically-protected quantum computation by emulating quantum dimer models
• Exotic Mott phases of the extended t--J model on the checkerboard lattice at commensurate densities

Cited by in corpus (8)

• Fractionalized Fermi liquid with bosonic chargons as a candidate for the pseudogap metal
• Spin density wave order, topological order, and Fermi surface reconstruction
• Magnetic field induced quantum criticality and the Luttinger sum rule
• Electron spectral functions in a quantum dimer model for topological metals
• A slave boson description of pseudogap metals in t-J models
• Nematic phase in a two-dimensional Hubbard model at weak coupling and finite temperature
• Generalised route to effective field theories for quantum systems with local constraints
• Quantum oscillations and criticality in a fermionic and bosonic dimer model for the cuprates