Intertwining topological order and broken symmetry in a theory of fluctuating spin density waves

Abstract

The pseudogap metal phase of the hole-doped cuprate superconductors has two seemingly unrelated characteristics: a gap in the electronic spectrum in the `anti-nodal' region of the square lattice Brillouin zone, and discrete broken symmetries. We present a SU(2) gauge theory of quantum fluctuations of magnetically ordered states which appear in a classical theory of square lattice antiferromagnets, in a spin density wave mean field theory of the square lattice Hubbard model, and in a CP${}^1$ theory of spinons. This theory leads to metals with an antinodal gap, and topological order which intertwines with precisely the observed broken symmetries.

arXiv comment4+10 pages, 4 figures; (v2) complete rewrite with new results from spin density wave theory

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Cited by in corpus (38)

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• Triangular antiferromagnetism on the honeycomb lattice of twisted bilayer graphene
• Nearly deconfined spinon excitations in the square-lattice spin-1/2 Heisenberg antiferromagnet
• Topological order in the pseudogap metal
• Dynamical Signature of Fractionalization at the Deconfined Quantum Critical Point
• Pseudogap and Fermi surface topology in the two-dimensional Hubbard model
• Confinement transition of ${\mathbb{Z}}_2$ gauge theories coupled to massless fermions: emergent QCD${}_3$ and $SO(5)$ symmetry
• Gauge theory for the cuprates near optimal doping
• From Bosonic Topological Transition to Symmetric Fermion Mass Generation
• Quark-hadron continuity beyond Ginzburg-Landau paradigm
• Thermal Hall effect in square-lattice spin liquids: A Schwinger boson mean-field study
• Extreme Suppression of Antiferromagnetic Order and Critical Scaling in a Two-Dimensional Random Quantum Magnet
• Orbital currents in insulating and doped antiferromagnets
• SU(2) gauge theory of the pseudogap phase in the two-dimensional Hubbard model
• Fermionic spinon theory of square lattice spin liquids near the Néel state
• Bond Directional Anapole Order in a Spin-Orbit Coupled Mott Insulator Sr${}_2$(Ir${}_{1-x}$Rh${}_x$)O${}_4$
• Emergence of Charge Loop Current in Geometrically Frustrated Hubbard Model: Functional Renormalization Group Study
• Effective gauge theories of superfluidity with topological order
• Loop Currents in Two-leg Ladder Cuprates
• Enhanced nematic fluctuations near an antiferromagnetic Mott insulator and possible application to high-$T_c$ cuprates
• Chern-Simons superconductors and their instabilities
• Phonon thermal Hall effect in Mott insulators via skew-scattering by the scalar spin chirality
• Long-range Coulomb Interaction effects on Topological Phase Transitions between Semi-metals and Insulators
• Topologically enabled superconductivity
• Fractionalized Altermagnets: from neighboring and altermagnetic spin-liquids to spin-symmetric band splitting
• Charge and current orders in the spin-fermion model with overlapping hot spots
• Nature of the spin liquid in underdoped cuprate superconductors
• Electrons interacting with Goldstone modes and the rotating frame
• Universality of the {\bf q}=1/2 Orbital Magnetism in the Pseudogap Phase of the High-$T_c$ superconductor $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6+\mathrm{x}}$
• Fractionalized Fermi liquids and the cuprate phase diagram
• Canted magnetism and ${\mathbb{Z}}_2$ fractionalization in metallic states of the Lieb lattice Hubbard model near quarter filling
• Geometric orthogonal metals: Hidden antiferromagnetism and pseudogap from fluctuating stripes
• Exotic $Z_2$ Symmetry Breaking Transitions in 2D Correlated Systems
• Orbital current signature using neutron diffraction
• Thermopower across Fermi-volume-changing quantum phase transitions without translational symmetry breaking
• Negative energy antiferromagnetic instantons forming Cooper-pairing "glue" and "hidden order" in high-Tc cuprates
• Superconducting States and Intertwined Orders in Metallic Altermagnets