Anomalies in the pseudogap phase of the cuprates: Competing ground states and the role of umklapp scattering

Abstract

Over the past two decades, advances in computational algorithms have revealed a curious property of the two-dimensional Hubbard model (and related theories) with hole doping: the presence of close-in-energy competing ground states that display very different physical properties. On the one hand, there is a complicated state exhibiting intertwined spin, charge, and pair density wave orders. We call this `type A'. On the other hand, there is a uniform d-wave superconducting state that we denote as `type B'. We advocate, with the support of both microscopic theoretical calculations and experimental data, dividing the high-temperature cuprate superconductors into two corresponding families, whose properties reflect either the type A or type B ground states at low temperatures. We review the anomalous properties of the pseudogap phase that led us to this picture, and present a modern perspective on the role that umklapp scattering plays in these phenomena in the type B materials. This reflects a consistent framework that has emerged over the last decade, in which Mott correlations at weak coupling drive the formation of the pseudogap. We discuss this development, recent theory and experiments, and open issues.

arXiv comment95 pages, 33 figures

References in corpus (177)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Many-Body Physics with Ultracold Gases
• Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• The pseudogap in high-temperature superconductors: an experimental survey
• Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
• Quantum Cluster Theories
• Hidden Order in the Cuprates
• Long-range incommensurate charge fluctuations in (Y,Nd)Ba2Cu3O(6+x)
• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Theory of Intertwined Orders in High Temperature Superconductors
• A Four-Unit-Cell Periodic Pattern of Quasiparticle States Surrounding Vortex Cores in Bi2Sr2CaCu2O8+d
• Magnetic-field-induced charge-stripe order in the high temperature superconductor YBa2Cu3Oy
• Functional renormalization group approach to correlated fermion systems
• An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates
• Imaging Quasiparticle Interference in Bi2Sr2CaCu2O8+d
• Stripe order in the underdoped region of the two-dimensional Hubbard model
• Fermi-Hubbard physics with atoms in an optical lattice
• The pseudogap: friend or foe of high Tc?
• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• Electron pockets in the Fermi surface of hole-doped high-Tc superconductors
• Lattice symmetry breaking in cuprate superconductors: Stripes, nematics, and superconductivity
• Competing states in the t-J model: uniform d-wave state versus stripe state
• Visualizing pair formation on the atomic scale in the high-Tc superconductor Bi2Sr2CaCu2O8+d
• Fermionic transport in a homogeneous Hubbard model: Out-of-equilibrium dynamics with ultracold atoms
• From Fermi Arcs to the Nodal Metal: Scaling of the Pseudogap with Doping and Temperature
• Two Gaps Make a High Temperature Superconductor?
• Change of carrier density at the pseudogap critical point of a cuprate superconductor
• Resonant x-ray scattering studies of charge order in cuprates
• A Theory of the Pseudogap State of the Cuprates
• Electronic Phase Diagram of High-T_c Cuprate Superconductors from a Mapping of the In-Plane Resistivity Curvature
• Three-Dimensional Charge Density Wave Order in YBa2Cu3O6.67 at High Magnetic Fields
• A Phenomenological Theory of The Pseudogap State
• Weak Coupling Phase Diagram of the Two Chain Hubbard Model
• Scattering and Pairing in Cuprate Superconductors
• Phenomenology of Photoemission Lineshapes of High Tc Superconductors
• Two-Dimensional Superconducting Fluctuations in Stripe-Ordered La(1.875)Ba(0.125)CuO(4)
• Renormalization group analysis of the 2D Hubbard model
• Detection of a Cooper-Pair Density Wave in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+x}$
• Inhomogeneity of charge density wave order and quenched disorder in a high Tc superconductor
• Superconductivity and the Pseudogap in the two-dimensional Hubbard model
• Connection between charge-density-wave order and charge transport in the cuprate superconductors
• Quasiparticle Scattering Interference in High Temperature Superconductors
• Dynamical layer decoupling in a stripe-ordered, high T_c superconductor
• Diamagnetism and Cooper pairing above $T_c$ in cuprates
• 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
• Giant phonon anomalies and central peak due to charge density wave formation in YBa${}_2$Cu${}_3$O${}_{6.6}$
• Mobility of the Doped Holes and the Antiferromagnetic Correlations in Underdoped High-T_c Cuprates
• Simultaneous Transitions in Cuprate Momentum-Space Topology and Electronic Symmetry Breaking
• Incipient charge order observed by NMR in the normal state of YBa2Cu3Oy
• Linear-T resistivity and change in Fermi surface at the pseudogap critical point of a high-Tc superconductor
• Direct phase-sensitive identification of a d-form factor density wave in underdoped cuprates
• Emergence of charge order from the vortex state of a high temperature superconductor
• Fermi Surface and Quasiparticle Excitations of overdoped Tl2Ba2CuO6+d by ARPES
• Thermodynamic evidence for nematic phase transition at the onset of pseudogap in YBa${}_2$Cu${}_3$O${}_y$
• Spin dynamics in the pseudogap state of a high-temperature superconductor
• In-plane anisotropy of spin excitations in the normal and superconducting states of underdoped YBa${}_2$Cu${}_3$O${}_{6+x}$
• Cu-63 NQR Measurement of Stripe Order Parameter in La(2-x)Sr(x)CuO(4)
• Coexistence of Fermi arcs and Fermi pockets in a high Tc copper oxide superconductor
• Numerical evidence of fluctuating stripes in the normal state of high-Tc cuprate superconductors
• Charge density wave fluctuations in La2-xSrxCuO4 and their competition with superconductivity
• Stripes in the two-dimensional t-J model with infinite projected entangled-pair states
• An SU(2) Formulation of the t-J model: Application to Underdoped Cuprates
• Evolution of electronic structure of doped Mott insulators - reconstruction of poles and zeros of Green's function
• Electronic Origin of the Inhomogeneous Pairing Interaction in the High-Tc Superconductor Bi2Sr2CaCu2O8+d
• Strongly Correlated Superconductivity: a plaquette Dynamical mean field theory study
• Particle-Hole Symmetry Breaking in the Pseudogap State of Bi2201
• Fermi arcs and the hidden zeros of the Green's function in the pseudogap state
• Momentum space anisotropy and pseudogaps: a comparative cluster dynamical mean field analysis of the doping-driven metal-insulator transition in the two dimensional Hubbard model
• Dynamical Breakup of the Fermi Surface in a doped Mott Insulator
• Exact SO(8) Symmetry in the Weakly-Interacting Two-Leg Ladder
• Efficient Parametrization of the Vertex Function, $\Omega$-Scheme, and the (t,t')-Hubbard Model at Van Hove Filling
• Phenomenology of the normal state in-plane transport properties of high-$T_c$ cuprates
• Towards resolution of the Fermi surface in underdoped high-Tc superconductors
• Broken translational and rotational symmetry via charge stripe order in underdoped YBCO
• A global inversion-symmetry-broken phase inside the pseudogap region of YBa${}_2$Cu${}_3$O${}_y$
• Neutron scattering study of the magnetic phase diagram of underdoped YBa(2)Cu(3)O(6+x)
• The N-chain Hubbard Model in Weak Coupling
• Universal quantum oscillations in the underdoped cuprate superconductors
• Magnetic-field Induced Pair Density Wave State in the Cuprate Vortex Halo
• Modeling the Fermi arc in underdoped cuprates
• Fluctuation diagnostics of the electron self-energy: Origin of the pseudogap physics
• Evidence of precursor superconductivity as high as 180 K from infrared spectroscopy
• Stripe order from the perspective of the Hubbard model
• Evidence for a Fermi liquid in the pseudogap phase of high-Tc cuprates
• Controlling Feynman diagrammatic expansions: physical nature of the pseudo gap in the two-dimensional Hubbard model
• Collisionally Induced Transport in Periodic Potentials
• On the Reconstructed Fermi Surface in the Underdoped Cuprates
• Atomic-scale Electronic Structure of the Cuprate d-Symmetry Form Factor Density Wave State
• Interaction-controlled transport of an ultracold Fermi gas
• High-Tc Superconductivity and Antiferromagnetism in Multilayered Copper Oxides - A New Paradigm of Superconducting Mechanism -
• Transverse optical plasmons in layered superconductors
• Competition between d-wave superconductivity and antiferromagnetism in the 2D Hubbard model
• Unidirectional d-wave superconducting domains in the two-dimensional t-J model
• Fermi pockets and quantum oscillations of the Hall coefficient in high temperature superconductors
• Weakly coupled one-dimensional Mott insulators
• Photoemission perspective on pseudogap, superconducting fluctuations, and charge order in cuprates: a review of recent progress
• Improved energy extrapolation with infinite projected entangled-pair states applied to the 2D Hubbard model
• Ideal charge density wave order in the high-field state of superconducting YBCO
• Quantum Oscillations in Hole-Doped Cuprates
• Magnetic-field-enhanced incommensurate magnetic order in the underdoped high-temperature superconductor YBa(2)Cu(3)O(6.45)
• Fermi-surface transformation across the pseudogap critical point of the cuprate superconductor La${}_{1.6-x}$Nd${}_{0.4}$Sr${}_x$CuO${}_4$
• Rotated stripe order and its competition with superconductivity in La${}_{1.88}$Sr${}_{0.12}$CuO${}_4$
• High-temperature charge density wave correlations in La${}_{1.875}$Ba${}_{0.125}$CuO${}_4$ without spin-charge locking
• Hybrid-space density matrix renormalization group study of the doped two-dimensional Hubbard model
• Majorana Fermions, Exact Mapping between Quantum Impurity Fixed Points with four bulk Fermion species, and Solution of the ``Unitarity Puzzle''
• High-energy magnetic excitations in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$: Towards a unified description of the electronic and magnetic degrees of freedom in the cuprates
• Renormalized mean-field theory of the neutron scattering in cuprate superconductors
• Synchrotron x-ray scattering study of charge-density-wave order in HgBa${}_2$CuO${}_{4+\delta }$
• Competition among various charge-inhomogeneous states and d-wave superconducting state in Hubbard models on square lattices
• Fourier Transform Scanning Tunneling Spectroscopy: the possibility to obtain constant energy maps and the band dispersion using a local measurement
• Probing optically silent superfluid stripes in cuprates
• Doped Spin Liquid: Luttinger Sum Rule and Low Temperature Order
• Commensurate antiferromagnetic excitations as a signature of the pseudogap in the tetragonal high-Tc cuprate HgBa${}_2$CuO${}_{4+\delta }$
• Phase Diagram of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ Revisited
• Pair-Density-Wave Superconducting Order in Two-Leg Ladders
• Exact critical exponents for the antiferromagnetic quantum critical metal in two dimensions
• Phase separation and competition of superconductivity and magnetism in the two-dimensional Hubbard model: From strong to weak coupling
• Fermi-surface reconstruction in a smectic phase of a high temperature superconductor
• Physics of the Pseudogap in 8-site Cluster Dynamical Mean Field Theory: photoemission, Raman scattering, in-plane and c-axis conductivity
• Phenomenological description of the two energy scales in underdoped superconducting cuprates
• A synthesis of the phenomenology of the underdoped cuprates
• Hall effect and Fermi surface reconstruction via electron pockets in the high-$T_c$ cuprates
• Enhanced Superconductivity in Sr2CuO4-v
• Flow to strong coupling in the two-dimensional Hubbard model
• Fermi pockets and correlation effects in underdoped YBa2Cu3O6.5
• Truncated Conformal Space Approach for 2D Landau-Ginzburg Theories
• Microscopic Electron Models with Exact SO(5) Symmetry
• Incommensurate phonon anomaly and the nature of charge density waves in cuprates
• Hidden Fermi Liquid: The Secret of High Tc Cuprates
• Mid-infrared absorption in YBa2Cu3O6: Failure of spin-wave theory in undoped cuprates?
• Fermi liquid behavior of the in-plane resistivity in the pseudogap state of YBa_2Cu_4O_8
• Hidden Fermi Liquid: Self-Consistent Theory for the Normal State of High-Tc Superconductors
• Structural origin of apparent Fermi surface pockets in angle-resolved photoemission of Bi${}_2$Sr${}_{2-x}$La${}_x$CuO${}_{6+\delta }$
• No Evidence for Orbital Loop Currents in Charge Ordered YBa${}_2$Cu${}_3$O${}_{6+x}$ from Polarized Neutron Diffraction
• Beyond the Fermi Liquid Paradigm: Hidden Fermi Liquids
• Absence of static stripes in the two-dimensional $t-J$ model by an accurate and systematic quantum Monte Carlo approach
• Pairing, Pseudogap and Fermi Arcs in Cuprates
• Signatures of Fermi surface reconstruction in Raman spectra of underdoped cuprates
• Quantum oscillations in a biaxial pair density wave state
• Applications of Massive Integrable Quantum Field Theories to Problems in Condensed Matter Physics
• Charge orders, magnetism and pairings in the cuprate superconductors
• Interplay of the Scaling Limit and the Renormalization Group: Implications for Symmetry Restoration
• d-Mott phases in one and two dimensions
• Effect of pseudogap formation on the penetration depth of underdoped high $T_c$ cuprates
• Rapid Suppression of the Charge Density Wave in YBa${}_2$Cu${}_3$O${}_{6.6}$ under Hydrostatic Pressure
• Non-BCS behavior of optical properties across the cuprate phase diagram
• Specific heat of underdoped cuprates: RVB versus Fermi arcs
• Excitation spectrum of doped two-leg ladders: A field theory analysis
• Umklapp scattering as the origin of $T$-linear resistivity in the normal state of high-$T_c$ cuprate superconductors
• The cluster glass state in the two-dimensional extended t-J model
• The ladder physics in the Spin Fermion model
• Mechanism of formation of half-doped stripes in underdoped cuprates
• Hall effect in underdoped GdBa2Cu3O7-d thin films: evidence for a crossover line in the pseudogap regime
• Magnetic Response in the Underdoped Cuprates
• Violation of Ioffe-Regel condition but saturation of resistivity of the high Tc cuprates
• Instability of a Landau Fermi liquid as the Mott insulator is approached
• A strange metal with a small Fermi surface and strong collective excitations
• A Field Theory for Fermionic Ladder with Generic Intrachain Interactions
• Numerical Study of Charge Transport of Overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$ within Semiclassical Boltzmann Transport Theory
• The cuprate phase diagram and the influence of nanoscale inhomogeneities
• Giant Phonon Anomaly associated with Superconducting Fluctuations in the Pseudogap Phase of Cuprates
• Revisiting ${}^{63}$Cu NMR evidence for charge order in superconducting La${}_{1.885}$Sr${}_{0.115}$CuO${}_4$
• Spinful fermionic ladders at incommensurate filling: Phase diagram, local perturbations, and ionic potentials
• NMR Studies of pseudogap and electronic inhomogeneity in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Finite wave vector pairing in doped two-leg ladders
• Particle-hole Asymmetry in the Cuprate Pseudogap Measured with Time-Resolved Spectroscopy
• Quantum oscillations in a d-wave vortex liquid
• Far-infrared c-axis conductivity of flux-grown Y${}_{1-x}$Pr${}_x$Ba${}_2$Cu${}_3$O${}_7$ single crystals studied by spectral ellipsometry
• Unconventional scaling of resistivity in two-dimensional Fermi liquids
• Two-component electron fluid in underdoped high-$T_c$ cuprate superconductors
• The splitting of electrons and violation of the Luttinger sum rule
• The Transformation of the Superconducting Gap to an Insulating Pseudogap at a Critical Hole Density in the Cuprates
• C-axis optical conductivity from the Yang-Rice-Zhang model of the underdoped cuprates
• Ladder-like optical conductivity in the spin-fermion model
• Closing the pseudogap quietly

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