Spin density wave, Fermi liquid, and fractionalized phases in a theory of antiferromagnetic metals using paramagnons and bosonic spinons

Abstract

The pseudogap metal phase of the hole-doped cuprates can be described by small Fermi surfaces of electron-like quasiparticles, which enclose a volume violating the Luttinger relation. This violation requires the existence of additional fractionalized excitations which can be viewed as fractionalized remnants of the paramagnon. We fractionalize the paramagnon into bosonic spinons, and present a gauge theory of bosonic spinons, a Higgs field, and an ancilla layer of fermions coupled to the original electrons. Along with the small Fermi surface metal, this theory displays conventional phases: the Fermi liquid with a low-energy paramagnon mode, and phases with spin density wave order. We follow the evolution of the electronic photoemission spectrum across these quantum phase transitions. We consider both the two-sublattice Néel and incommensurate spin density wave phases.

36 pages, 16 figures; (v5) Improved figures and added clarifications; (v6) Added Appendix B on connection to theories of holon metals; this appendix is not in the PRB version

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• Fractionalized Fermi liquids
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Cited by in corpus (10)

• A model of $d$-wave superconductivity, antiferromagnetism, and charge order on the square lattice
• Topological Green's function zeros in an exactly solved model and beyond
• Emergence of nodal Bogoliubov quasiparticles across the transition from the pseudogap metal to the d-wave superconductor
• The foot, the fan, and the cuprate phase diagram: Fermi-volume-changing quantum phase transitions
• Deconfined quantum criticality of nodal $d$-wave superconductivity, Néel order, and charge order on the square lattice at half-filling
• Quantum oscillations in the hole-doped cuprates and the confinement of spinons
• Fractionalized Fermi liquids and the cuprate phase diagram
• Antiferromagnetic pseudogap in the two-dimensional Hubbard model deep in the renormalized classical regime
• Spin-Peierls instability of deconfined quantum critical points
• Spin susceptibility in a pseudogap state with fluctuating spiral magnetic order