Algebraic charge liquids

Abstract

High temperature superconductivity emerges in the cuprate compounds upon changing the electron density of an insulator in which the electron spins are antiferromagnetically ordered. A key characteristic of the superconductor is that electrons can be extracted from them at zero energy only if their momenta take one of four specific values (the `nodal points'). A central enigma has been the evolution of the zero energy electrons in the metallic state between the antiferromagnet and the superconductor, and recent experiments yield apparently contradictory results. The oscillation of the resistance in this metal as a function of magnetic field indicate that the zero energy electrons carry momenta which lie on elliptical `Fermi pockets', while ejection of electrons by high intensity light indicates that the zero energy electrons have momenta only along arc-like regions. We present a theory of new states of matter, which we call `algebraic charge liquids', which arise naturally between the antiferromagnet and the superconductor, and reconcile these observations. Our theory also explains a puzzling dependence of the density of superconducting electrons on the total electron density, and makes a number of unique predictions for future experiments.

6+8 pages, 2 figures; (v2) Rewritten for broader accessibility; (v3) corrected numerical error in Eq. (5)

References in corpus (24)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• "Deconfined" quantum critical points
• How to detect fluctuating order in the high-temperature superconductors
• Destruction of the Fermi Surface in Underdoped High Tc Superconductors
• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates
• The Physics Behind High-Temperature Superconducting Cuprates: The "Plain Vanilla" Version Of RVB
• Theory of Two-Dimensional Quantum Heisenberg Antiferromagnets with a Nearly Critical Ground State
• From Fermi Arcs to the Nodal Metal: Scaling of the Pseudogap with Doping and Temperature
• On the low energy properies of fermions with singular interactions
• Two Energy Scales and two Quasiparticle Dynamics in the Superconducting State of Underdoped Cuprates
• On the stability of U(1) spin liquids in two dimensions
• The Unusual Superconducting State of Underdoped Cuprates
• Algebraic spin liquid as the mother of many competing orders
• Quantum Oscillations in the Underdoped Cuprate YBa2Cu4O8
• Electron spectral function and algebraic spin liquid for the normal state of underdoped high $T_c$ superconductors
• Quantum critical behaviour in the superfluid density of strongly underdoped ultrathin cuprate films
• Quantum Boltzmann equation of composite fermions interacting with a gauge field
• Hole-hole superconducting pairing in the t-J model induced by spin-wave exchange
• Hole dynamics in an antiferromagnet across a deconfined quantum critical point
• Relativity Restored: Dirac Anisotropy in QED${}_3$
• The hole-hole superconducting pairing in t-J model induced by the long-range spin-wave exchange
• A Variational Monte Carlo Study of the Current Carried by a Quasiparticle
• Effect of the pseudogap on the mean-field magnetic penetration depth of YBCO thin films

Cited by in corpus (101)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Quantum magnetism and criticality
• Quantum phase transitions of metals in two spatial dimensions: I. Ising-nematic order
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• Holographic quantum matter
• A multi-component Fermi surface in the vortex state of an underdoped high-Tc superconductor
• Coexistence of Fermi arcs and Fermi pockets in a high Tc copper oxide superconductor
• Critical fermi surfaces and non-fermi liquid metals
• Topological order, emergent gauge fields, and Fermi surface reconstruction
• String patterns in the doped Hubbard model
• Fermi Surface Evolution in an Electron-Doped High-Tc Superconductor Revealed by Magnetic Quantum Oscillations
• Superconductivity close to the Mott state: From condensed-matter systems to superfluidity in optical lattices
• Quantum criticality of U(1) gauge theories with fermionic and bosonic matter in two spatial dimensions
• Fermi pockets and quantum oscillations of the Hall coefficient in high temperature superconductors
• Topological order in the pseudogap metal
• Competition between spin density wave order and superconductivity in the underdoped cuprates
• Where is the quantum critical point in the cuprate superconductors?
• Mott physics and first-order transition between two metals in the normal state phase diagram of the two-dimensional Hubbard model
• Fluctuating spin density waves in metals
• Effective theory of Fermi pockets in fluctuating antiferromagnets
• Fermi surfaces and gauge-gravity duality
• A quantum dimer model for the pseudogap metal
• Towards Bootstrapping QED${}_3$
• Entanglement Entropy of 3-d Conformal Gauge Theories with Many Flavors
• Density-wave instabilities of fractionalized Fermi liquids
• Multipoint correlators of conformal field theories: implications for quantum critical transport
• A synthesis of the phenomenology of the underdoped cuprates
• Electronic structure near the 1/8-anomaly in La-based cuprates
• A controlled expansion for certain non-Fermi liquid metals
• From the pseudogap metal to the Fermi liquid using ancilla qubits
• Quantum criticality in SU(3) and SU(4) anti-ferromagnets
• Destruction of Neel order in the cuprates by electron-doping
• A critical strange metal from fluctuating gauge fields in a solvable random model
• A competing order scenario of two-gap behavior in hole doped cuprates
• Emergent Superconductivity and Competing Charge Orders in Hole-Doped Square-Lattice $t$-$J$ Model
• The novel metallic states of the cuprates: Fermi liquids with topological order, and strange metals
• Intertwining topological order and broken symmetry in a theory of fluctuating spin density waves
• Paired electron pockets in the hole-doped cuprates
• Quantum oscillations from Fermi arcs
• Fermi Surface of the Electron-doped Cuprate Superconductor Nd_{2-x}Ce_xCuO_{4} Probed by High-Field Magnetotransport
• Higgs criticality in a two-dimensional metal
• Confinement and Mott transitions of dynamical charges in 1D lattice gauge theories
• Quantum critical point shifts under superconductivity: the pnictides and the cuprates
• The underdoped cuprates as fractionalized Fermi liquids: transition to superconductivity
• Emergent gauge fields and the high temperature superconductors
• Chiral spin density wave, spin-charge-Chern liquid and d+id superconductivity in 1/4-doped correlated electronic systems on the honeycomb lattice
• A model of $d$-wave superconductivity, antiferromagnetism, and charge order on the square lattice
• Insulator-metal transition on the triangular lattice
• Majorana liquids: the complete fractionalization of the electron
• Antiferromagnetism in metals: from the cuprate superconductors to the heavy fermion materials
• Monopole operators from the $4-\epsilon$ expansion
• Spin density wave order, topological order, and Fermi surface reconstruction
• The enigma of the pseudogap phase of the cuprate superconductors
• Global Phase Diagram of D-wave Superconductivity in the Square-Lattice $t\text{-}J$ Model
• Insulators and metals with topological order and discrete symmetry breaking
• Quantum phase transitions beyond the Landau-Ginzburg paradigm and supersymmetry
• Fermi-surface reconstruction without symmetry breaking
• Angle dependent quasiparticle weights in correlated metals
• The landscape of the Hubbard model
• Possible realization of the Exciton Bose Liquid phase in a hard-core boson model with ring-only exchange interactions
• Confinement transition to density wave order in metallic doped spin liquids
• Decohering the Fermi liquid: A dual approach to the Mott Transition
• 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
• Stress tensor and current correlators of interacting conformal field theories in 2+1 dimensions: Fermionic Dirac matter coupled to U(1) gauge field
• Stripes and electronic quasiparticles in the pseudogap state of cuprate superconductors
• Small to large Fermi surface transition in a single band model, using randomly coupled ancillas
• Properties of holons in the Quantum Dimer Model
• Coupling ultracold matter to dynamical gauge fields in optical lattices: From flux-attachment to Z2 lattice gauge theories
• Spin density wave, Fermi liquid, and fractionalized phases in a theory of antiferromagnetic metals using paramagnons and bosonic spinons
• $Z_2$ fractionalized phases of a solvable, disordered, $t$-$J$ model
• Modern Physics of the Condensed State: Strong Correlations and Quantum Topology
• Quantum Hall spin liquids and their possible realization in moiré systems
• ${\mathbb{Z}}_2$ metallic spin liquid on a frustrated Kondo lattice
• The foot, the fan, and the cuprate phase diagram: Fermi-volume-changing quantum phase transitions
• Emergence of nodal Bogoliubov quasiparticles across the transition from the pseudogap metal to the d-wave superconductor
• Electron spectral functions in a quantum dimer model for topological metals
• Visualizing electron pockets in cuprate superconductors
• Deconfined quantum criticality of nodal $d$-wave superconductivity, Néel order, and charge order on the square lattice at half-filling
• Non-abelian descendant of abelian duality in a two-dimensional frustrated quantum magnet
• Quantum oscillations in the hole-doped cuprates and the confinement of spinons
• A Criterion for the Critical Number of Fermions and Chiral Symmetry Breaking in Anisotropic QED(2+1)
• Polaronic correlations from optimized ancilla wave functions for the Fermi-Hubbard model
• Deconfined quantum criticality driven by Dirac fermions in SU(2) antiferromagnets
• Quantum Boltzman equation study for the Kondo breakdown quantum critical point
• Topic Review: Hatsugai-Kohmoto models: Exactly solvable playground for Mottness and Non-Fermi Liquid
• Spin-gapped incoherent metal with preformed pairing in the doped antiferromagnetic Mott insulator
• Matter fields near quantum critical point in (2+1)-dimensional U(1) gauge theory
• Superconductivity from purely repulsive interactions in the strong coupling approach : Application of the SU(2) slave-rotor theory to the Hubbard model
• Fractionalized Fermi liquids and the cuprate phase diagram
• Floating topological phases
• Lattice models for non-Fermi liquid metals
• Occurrence of Fermi Pockets without Pseudogap Hypothesis and Clarification of the Energy Distribution Curves of Angle-Resolved Photoemission Spectroscopy in Underdoped Cuprate Superconductors
• Fermionization for charge degrees of freedom and bosonization of spin degrees of freedom in the SU(2) slave-boson theory
• Signatures of correlated magnetic phases in the local two-particle density matrix
• Searching for superconductivity in doped triangular lattice Kitaev magnets
• Stoner instability revisited: Emergence of local quantum criticality?
• Do Three Dimensions tell us Anything about a Theory of Everything?
• Universal properties of the U(1) current at deconfined quantum critical points: comparison with predictions from gauge/gravity duality
• Yamaji effect in models of underdoped cuprates
• Nature of an intermediate non-Fermi liquid state in Ge-substituted YbRh${}_2$Si${}_2$: Fermionized skyrmions, Lifshitz transition, Skyrmion liquid, and Gruneisen ratio