Confinement transition to density wave order in metallic doped spin liquids

Abstract

Insulating quantum spin liquids can undergo a confinement transition to a valence bond solid state via the condensation of topological excitations of the associated gauge theory. We extend the theory of such transitions to fractionalized Fermi liquids (FL*): these are metallic doped spin liquids in which the Fermi surfaces only have gauge neutral quasiparticles. Using insights from a duality transform on a doped quantum dimer model for the U(1)-FL* state, we show that projective symmetry group of the theory of the topological excitations remains unmodified, but the Fermi surfaces can lead to additional frustrating interactions. We propose a theory for the confinement transition of ${\mathbb{Z}}_2$-FL* states via the condensation of visons. A variety of confining, incommensurate density wave states are possible, including some that are similar to the incommensurate $d$-form factor density wave order observed in several recent experiments on the cuprate superconductors.

31 pages, 8 figures, to appear in Phys. Rev. B

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• On the Reconstructed Fermi Surface in the Underdoped Cuprates
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• Density-wave instabilities of fractionalized Fermi liquids
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Cited by in corpus (21)

• Thermodynamic evidence for nematic phase transition at the onset of pseudogap in YBa${}_2$Cu${}_3$O${}_y$
• Topological order, emergent gauge fields, and Fermi surface reconstruction
• Topological superconductivity in the doped chiral spin liquid on the triangular lattice
• Holon Wigner Crystal in a Lightly Doped Kagome Quantum Spin Liquid
• The novel metallic states of the cuprates: Fermi liquids with topological order, and strange metals
• Fractionalized Fermi liquid with bosonic chargons as a candidate for the pseudogap metal
• A model of $d$-wave superconductivity, antiferromagnetism, and charge order on the square lattice
• Transition from the ${\mathbb{Z}}_2$ spin liquid to antiferromagnetic order: spectrum on the torus
• Spin density wave order, topological order, and Fermi surface reconstruction
• The Hall number across a van Hove singularity
• Possible superconductivity with Bogoliubov Fermi surface in lightly doped Kagome U(1) spin liquid
• Electronic spectra with paramagnon fractionalization in the single band Hubbard model
• Superconductivity from a confinement transition out of a fractionalized Fermi liquid with ${\mathbb{Z}}_2$ topological and Ising-nematic orders
• Exact solution of a two-species quantum dimer model for pseudogap metals
• Electronic quasiparticles in the quantum dimer model: density matrix renormalization group results
• Electron spectral functions in a quantum dimer model for topological metals
• Quantum oscillations in the hole-doped cuprates and the confinement of spinons
• D-wave superconductivity in boson+fermion dimer models
• Magnetic field induced partially polarized chiral spin liquid in a transition metal dichalcogenide moiré system
• Probing the pseudogap and beyond: Examining single-particle properties of the hole- and electron-doped Hubbard model
• Quantum oscillations and criticality in a fermionic and bosonic dimer model for the cuprates