Density-wave instabilities of fractionalized Fermi liquids

Abstract

Recent experiments in the underdoped regime of the hole-doped cuprates have found evidence for an incommensurate charge density wave state. We present an analysis of the charge ordering instabilities in a metal with antiferromagnetic correlations, where the electronic excitations are coupled to the fractionalized excitations of a quantum fluctuating antiferromagnet on the square lattice. The resulting charge density wave state emerging out of such a fractionalized Fermi-liquid (FL*) has wavevectors of the form $(\pm Q_0,0),(0,\pm Q_0)$, with a predominantly $d$-form factor, in agreement with experiments on a number of different families of the cuprates. In contrast, as previously shown, the charge density wave instability of a nearly antiferromagnetic metal with a large Fermi surface, interacting via short-range interactions, has wavevectors of the type $(\pm Q_0,\pm Q_0)$. Our results show that the observed charge density wave appears as a low-energy instability of a fractionalized metallic state linked to the proximity to an antiferromagnetic insulator, and the pseudogap regime can be described by such a metal at least over intermediate length and energy scales.

22 pages, 7 figures; (v2) minor changes. Final published version

References in corpus (33)

• "Deconfined" quantum critical points
• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Electron pockets in the Fermi surface of hole-doped high-Tc superconductors
• Fractionalized Fermi liquids
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• A Phenomenological Theory of The Pseudogap State
• Distinct Charge Orders in the Planes and Chains of Ortho-III-Ordered YBa${}_2$Cu${}_3$O${}_{6+\delta }$ Superconductors Identified by Resonant Elastic X-ray Scattering
• Direct phase-sensitive identification of a d-form factor density wave in underdoped cuprates
• X-ray diffraction observation of charge density wave order at zero magnetic field in ortho-II YBa${}_2$Cu${}_3$O${}_{6.54}$
• Theory of a continuous Mott transition in two dimensions
• Planes, Chains, and Orbits: Quantum Oscillations and High Magnetic Field Heat Capacity in Underdoped YBCO
• On the Reconstructed Fermi Surface in the Underdoped Cuprates
• Visualizing the emergence of the pseudogap state and the evolution to superconductivity in a lightly hole-doped Mott insulator
• Algebraic charge liquids
• Normal-state nodal electronic structure in underdoped high-Tc copper oxides
• Fluctuating spin density waves in metals
• Bond order instabilities in a correlated two-dimensional metal
• Connecting high-field quantum oscillations to zero-field electron spectral functions in the underdoped cuprates
• Hole dynamics in an antiferromagnet across a deconfined quantum critical point
• Superconducting d-wave stripes in cuprates: Valence bond order coexisting with nodal quasiparticles
• Feedback of superconducting fluctuations on charge order in the underdoped cuprates
• Incommensurate nematic fluctuations in the two-dimensional Hubbard model
• Destruction of Neel order in the cuprates by electron-doping
• Fermi surface reconstruction in hole-doped t-J models without long-range antiferromagnetic order
• Resonant X-Ray Scattering Measurements of a Spatial Modulation of the Cu 3d and O 2p Energies in Stripe-Ordered Cuprate Superconductors
• The underdoped cuprates as fractionalized Fermi liquids: transition to superconductivity
• Antiferromagnetism in metals: from the cuprate superconductors to the heavy fermion materials
• Composite charge order in the pseudogap region of the cuprates
• Nematic and spin-charge orders driven by hole-doping a charge-transfer insulator
• Stripes and electronic quasiparticles in the pseudogap state of cuprate superconductors
• Auxiliary-boson and DMFT studies of bond ordering instabilities of t-J-V models on the square lattice

Cited by in corpus (22)

• Coexistence of charge-density-wave and pair-density-wave orders in underdoped cuprates
• Connecting high-field quantum oscillations to zero-field electron spectral functions in the underdoped cuprates
• Interplay between pair-density-wave and charge-density-wave orders in underdoped cuprates
• Nonequilibrium enhancement of high-temperature superconductivity in a 3D model of cuprates
• Exotic topological density waves in cold atomic Rydberg fermions
• Higgs criticality in a two-dimensional metal
• Fractionalized Fermi liquid with bosonic chargons as a candidate for the pseudogap metal
• The special role of the first Matsubara frequency for superconductivity near a quantum-critical point -- the non-linear gap equation below $T_c$ and spectral properties in real frequencies
• Charge ordering in three-band models of the cuprates
• Three-Dimensional Fractional Topological Insulators in Coupled Rashba Layers
• Superconductivity out of a non-Fermi liquid. Free energy analysis
• Superconducting and charge-density-wave orders in the spin-fermion model: a comparative analysis
• Memory matrix theory of the dc resistivity of a disordered antiferromagnetic metal with an effective composite operator
• Nematic fluctuations and their wave vector in two-dimensional metals
• A Sport and a Pastime: Model Design and Computation in Quantum Many-Body Systems
• Quantum oscillations in the hole-doped cuprates and the confinement of spinons
• The Effect of Pointlike Impurities on d_{x^2-y^2} Charge Density Waves in Cuprate Superconductors
• Dynamic mass generation and topological order in overscreened Kondo lattices
• Charge order near the antiferromagnetic quantum critical point in the trilayer high $T_c$ cuprate HgBa${}_2$Ca${}_2$Cu${}_3$O${}_{8+\delta }$
• Translation Invariant Bipolarons and Charge Density Waves in High-Temperature Superconductors
• Fractional Fermi liquid in a generalized $t-J$ model
• Geometric orthogonal metals: Hidden antiferromagnetism and pseudogap from fluctuating stripes