Competing nodal d-wave superconductivity and antiferromagnetism

Abstract

Competing unconventional superconductivity and antiferromagnetism widely exist in several strongly correlated quantum materials whose direct simulation generally suffers from fermion sign problem. Here we report unbiased Quantum Monte Carlo (QMC) simulations on a sign-problem-free repulsive toy model with same onsite symmetries as the standard Hubbard model on a 2D square lattice. Using QMC, supplemented with mean-field and continuum field-theory arguments, we find that it hosts three distinct phases: a nodal d-wave phase, an antiferromagnet, and an intervening phase which hosts coexisting antiferromagnetism and nodeless d-wave superconductivity. The transition from the coexisting phase to the antiferromagnet is described by the 2+1-D XY universality class, while the one from the coexisting phase to the nodal d-wave phase is described by the Heisenberg-Gross-Neveu theory. The topology of our phase diagram resembles that of layered organic materials which host pressure tuned Mott transition from antiferromagnet to unconventional superconductor at half-filling.

6+9 pages, 4+9 figures

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• Dirac fermions with plaquette interactions. I. SU(2) phase diagram with Gross-Neveu and deconfined quantum criticalities
• Gross-Neveu-Heisenberg criticality from $2+\mathbf{\epsilon }$ expansion
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• Delay Update in determinant quantum Monte Carlo
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• Deconfined quantum criticality of nodal $d$-wave superconductivity, Néel order, and charge order on the square lattice at half-filling
• Chiral critical behavior of 3D lattice fermionic models with quartic interactions
• Boosting Determinant Quantum Monte Carlo with Submatrix Updates: Unveiling the Phase Diagram of the 3D Hubbard Model
• Fractionalized Fermi liquids and the cuprate phase diagram
• Nonequilibrium Dynamics of Dirac Quantum Criticality in Imaginary Time
• Comparison of superconducting pairing in doped cuprates and nickelates within an extended Hubbard model
• Chiral Heisenberg Gross-Neveu-Yukawa criticality: Honeycomb vs. SLAC fermions
• Critical structure and emergent symmetry of Dirac fermion systems
• Dirac quantum criticality in twisted double bilayer transition metal dichalcogenides
• Fermionic skyrmions and bosonization for a Gross-Neveu transition
• Addressing the Infinite Variance Problem in Fermionic Monte Carlo Simulations: Retrospective Error Remediation and the Exact Bridge Link Method
• Lattice Field Theory Analysis of the Chiral Heisenberg Model
• The interplay of phase fluctuations and nodal quasiparticles: ubiquitous Fermi arcs in two-dimensional d-wave superconductors