The enigma of the pseudogap phase of the cuprate superconductors

Abstract

The last few years have seen significant experimental progress in characterizing the copper-based hole-doped high temperature superconductors in the regime of low hole density, p. Quantum oscillations, NMR, X-ray, and STM experiments have shed much light on the nature of the ordering at low temperatures. We review evidence that the order parameter in the non-Lanthanum-based cuprates is a d-form factor density-wave. This novel order acts as an unexpected window into the electronic structure of the pseudogap phase at higher temperatures in zero field: we argue in favor of a `fractionalized Fermi liquid' (FL*) with 4 pockets of spin S=1/2, charge +e fermions enclosing an area specified by p.

37 pages, 19 figures, 100+ references. Proceedings of the 50th Karpacz Winter School of Theoretical Physics, 2-9 March 2014, Karpacz, Poland

References in corpus (51)

• "Deconfined" quantum critical points
• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Theory of Intertwined Orders in High Temperature Superconductors
• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates
• Ubiquitous Interplay between Charge Ordering and High-Temperature Superconductivity in Cuprates
• Charge order driven by Fermi-arc instability in Bi2201
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Electron pockets in the Fermi surface of hole-doped high-Tc superconductors
• Lattice symmetry breaking in cuprate superconductors: Stripes, nematics, and superconductivity
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• Polar Kerr Effect Measurements of YBa2Cu3O6+x: Evidence for Broken Symmetry Near the Pseudogap Temperature
• A Phenomenological Theory of The Pseudogap State
• On the stability of U(1) spin liquids in two dimensions
• 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${}_{6.54}$
• The symmetry of charge order in cuprates
• Theory of a continuous Mott transition in two dimensions
• Charge-density-wave order with momentum $(2Q,0)$ and $(0,2Q)$ within the spin-fermion model: continuous and discrete symmetry breaking, preemptive composite order, and relation to pseudogap in hole-doped cuprates
• Quasiparticle mass enhancement approaching optimal doping in a high-Tc superconductor
• Pseudogap opening and formation of Fermi arcs as an orbital-selective Mott transition in momentum space
• Planes, Chains, and Orbits: Quantum Oscillations and High Magnetic Field Heat Capacity in Underdoped YBCO
• On the Reconstructed Fermi Surface in the Underdoped Cuprates
• Algebraic charge liquids
• Fermi pockets and quantum oscillations of the Hall coefficient in high temperature superconductors
• Stability of the U(1) spin liquid with spinon Fermi surface in 2+1 dimensions
• Charge Order in the Pseudogap Phase of Cuprate Superconductors
• Fluctuating spin density waves in metals
• Bond order instabilities in a correlated two-dimensional metal
• Cascade of phase transitions in the vicinity of a quantum critical point
• Checkerboard charge density wave and pseudogap in high-$T_c$ 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
• Density-wave instabilities of fractionalized Fermi liquids
• Evidence for a small hole pocket in the Fermi surface of underdoped YBa2Cu3Oy
• Mean field theory of competing orders in metals with antiferromagnetic exchange interactions
• 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
• Destruction of Neel order in the cuprates by electron-doping
• Fermi surface reconstruction in hole-doped t-J models without long-range antiferromagnetic order
• Higgs criticality in a two-dimensional metal
• Resonant X-Ray Scattering Measurements of a Spatial Modulation of the Cu 3d and O 2p Energies in Stripe-Ordered Cuprate Superconductors
• d-Wave Checkerboard Order in Cuprates
• Crisscrossed stripe order from interlayer tunneling in hole-doped cuprates
• Charge ordering in three-band models of the cuprates
• Are there quantum oscillations in an incommensurate charge density wave?
• Diamagnetism and density wave order in the pseudogap regime of YBa${}_2$Cu${}_3$O${}_{6+x}$
• On the mass enhancement near optimal doping in high magnetic fields in the cuprates

Cited by in corpus (15)

• The Conformal Bootstrap: Theory, Numerical Techniques, and Applications
• Emerging 2D Gauge theories in Rydberg configurable arrays
• A quantum dimer model for the pseudogap metal
• Bad Metals from Fluctuating Density Waves
• Intertwined Order in a Frustrated 4-leg $t-J$ Cylinder
• Parton theory of ARPES spectra in anti-ferromagnetic Mott insulators
• Light induced enhancement of superconductivity via melting of competing bond-density wave order in underdoped cuprates
• Meson formation in mixed-dimensional t-J models
• The novel metallic states of the cuprates: Fermi liquids with topological order, and strange metals
• Charge orders, magnetism and pairings in the cuprate superconductors
• Spin density wave order, topological order, and Fermi surface reconstruction
• Two dimensional spin liquids with ${\mathbb{Z}}_2$ topological order in an array of quantum wires
• Giant Phonon Anomaly associated with Superconducting Fluctuations in the Pseudogap Phase of Cuprates
• Local particle-hole pair excitations by SU(2) symmetry fluctuations
• Fractionalized Fermi liquids and the cuprate phase diagram