Nodal Liquid Theory of the Pseudo-Gap Phase of High-Tc Superconductors
arXiv:cond-mat/9803086 · doi:10.1142/S0217979298000570
Abstract
We introduce and study the nodal liquid, a novel zero-temperature quantum phase obtained by quantum-disordering a d-wave superconductor. It has numerous remarkable properties which lead us to suggest it as an explanation of the pseudo-gap state in underdoped high-temperature superconductors. In the absence of impurities, these include power-law magnetic order, a T-linear spin susceptibility, non-trivial thermal conductivity, and two- and one-particle charge gaps, the latter evidenced, e.g. in transport and electron photoemission (which exhibits pronounced fourfold anisotropy inherited from the d-wave quasiparticles). We use a 2+1-dimensional duality transformation to derive an effective field theory for this phase. The theory is comprised of gapless neutral Dirac particles living at the former d-wave nodes, weakly coupled to the fluctuating gauge field of a dual Ginzburg-Landau theory. The nodal liquid interpolates naturally between the d-wave superconductor and the insulating antiferromagnet, and our effective field theory is powerful enough to permit a detailed analysis of a panoply of interesting phenomena, including charge ordering, antiferromagnetism, and d-wave superconductivity. We also discuss the zero-temperature quantum phase transitions which separate the nodal liquid from various ordered phases.
19 pages, 4 figures
References in corpus (4)
Cited by in corpus (141)
- Non-Abelian Anyons and Topological Quantum Computation
- Angle-resolved photoemission spectroscopy of the cuprate superconductors
- Quantum Spin Liquid States
- Hidden Order in the Cuprates
- Quantum Orders and Symmetric Spin Liquids
- Quantum phase transitions
- Z_2 Gauge Theory of Electron Fractionalization in Strongly Correlated Systems
- CDW, Superconductivity and Anomalous Metallic Behavior in 2D Transition Metal Dichalcogenides
- The Hubbard Model
- From Fermi Arcs to the Nodal Metal: Scaling of the Pseudogap with Doping and Temperature
- Short-ranged RVB physics, quantum dimer models and Ising gauge theories
- Superconductors are topologically ordered
- The spin quantum Hall effect in unconventional superconductors
- Emergent Space-time Supersymmetry at the Boundary of a Topological Phase
- Observation of a -wave gap in electron-doped SrIrO
- SO(5) Theory of Antiferromagnetism and Superconductivity
- Spin ordering quantum transitions of superconductors in a magnetic field
- Density Wave States of Non-Zero Angular Momentum
- A Class of -Invariant Topological Phases of Interacting Electrons
- Prediction of Toric Code Topological Order from Rydberg Blockade
- QED3 theory of underdoped high temperature superconductors
- Spin correlations in the algebraic spin liquid - implications for high Tc superconductors
- Quantum phase transitions in d-wave superconductors
- Dual Order Parameter for the Nodal Liquid
- Emergent space-time supersymmetry in 3D Weyl and 2D Dirac semimetals
- Competing orders and quantum criticality in doped antiferromagnets
- Theories of Low-Energy Quasi-Particle States in Disordered d-Wave Superconductors
- Antiferromagnetism from phase disordering of a d-wave superconductor
- Quantum impurity dynamics in two-dimensional antiferromagnets and superconductors
- Dirac-type nodal spin liquid revealed by refined quantum many-body solver using neural-network wave function, correlation ratio, and level spectroscopy
- Criticality in correlated quantum matter
- Dimensional Crossover in Quasi One-Dimensional and High T_c Superconductors
- Doped high-Tc cuprate superconductors elucidated in the light of zeros and poles of electronic Green's function
- Renormalization group theory of nematic ordering in d-wave superconductors
- Sign-Problem-Free Fermionic Quantum Monte Carlo: Developments and Applications
- Effective Actions and Phase Fluctuations in d-wave Superconductors
- Theory of the nodal nematic quantum phase transition in superconductors
- Quasiparticle States at a d-Wave Vortex Core in High-Tc Superconductors: Induction of Local Spin Density Wave Order
- Emergence of supersymmetry on the surface of three dimensional topological insulators
- High Temperature Superconductivity in a Lightly Doped Quantum Spin Liquid
- The effect of phase fluctuations on the single-particle properties of the underdoped cuprates
- SU(2) gauge theory of the Hubbard model and application to the honeycomb lattice
- All Majorana Models with Translation Symmetry are Supersymmetric
- Chiral Mott Insulators, Meissner Effect, and Laughlin States in Quantum Ladders
- Observation of a d-wave nodal liquid in highly underdoped Bi_2Sr_2CaCu_2O_{8+δ}
- Exploring the Dark Side of Cuprate Superconductors: s-wave Symmetry of the Pseudogap
- Superfluidity and phase transitions in a resonant Bose gas
- Competing Orders in Coupled Luttinger Liquids
- Renormalization group analysis of quantum critical points in d-wave superconductors
- Delocalized fermions in underdoped cuprates
- Correlated Dirac Particles and Superconductivity on the Honeycomb Lattice
- An extended Hubbard model with ring exchange: a route to a non-Abelian topological phase
- Competing ferromagnetism in high temperature copper oxide superconductors
- Multi-meson Yukawa interactions at criticality
- Superconductivity in a doped Mott insulator
- Spin-dependent transport in a Luttinger liquid
- Effective theory of high-temperature superconductors
- Survival of the d-wave superconducting state near the edge of antiferromagnetism in the cuprate phase diagram
- Doping the chiral spin liquid -- topological superconductor or chiral metal?
- Observation of Emergent Spacetime Supersymmetry at Superconducting Quantum Criticality
- Incipient nodal pairing in planar d-wave superconductors
- Quantum Criticality and Superconductivity in Quasi-Two-Dimensional Dirac Electronic Systems
- Edge quantum criticality and emergent supersymmetry in topological phases
- Dual Vortex Theory of Strongly Interacting Electrons: Non-Fermi Liquid to the (Hard) Core
- Theory of Magnetic Field Induced Spin Density Wave in High Temperature Superconductors
- The effect of velocity anisotropy on the antiferromagnetic instability of a d-wave superconductor
- Pinned Balseiro-Falicov Model of Tunneling and Photoemission in the Cuprates
- Model for nodal quasiparticle scattering in a disordered vortex lattice
- Microscopic Models of 2D Magnets with Fractionalized Excitations
- Unifying Kitaev magnets, kagome dimer models and ruby Rydberg spin liquids
- Neel order, quantum spin liquids and quantum criticality in two dimensions
- Strongly coupled quantum criticality with a Fermi surface in two dimensions: fractionalization of spin and charge collective modes
- Observability of quantum phase fluctuations in cuprate superconductors
- Numerical Study of Transition to Stripe Phases in High Temperature Superconductors Under a Strong Magnetic Field
- Quantum phase transitions in Dirac fermion systems
- Coulomb instabilities of 3D higher-order topological insulators
- Spin Structure Factor of the Frustrated Quantum Magnet Cs_2CuCl_4
- Competing nodal d-wave superconductivity and antiferromagnetism
- Fractionalization patterns in strongly correlated electron systems: Spin-charge separation and beyond
- Ginzburg-Landau theory of an RVB superconductor
- Quantum phase transitions of correlated electrons in two dimensions
- Vortex state in a doped Mott insulator
- O(4)-Invariant Formulation of the Nodal Liquid
- On the Current Carried by `Neutral' Quasiparticles
- Thermally generated vortices, gauge invariance and electron spectral function in the pseudo-gap regime
- Holographic Fermionic Fixed Points in d=3
- Disordered d-wave superconductors with interactions
- Dual vortex theory of doped Mott insulators
- The types of Mott insulator
- Topological order, symmetry, and Hall response of two-dimensional spin-singlet superconductors
- Antiferromagnetism, Stripes, and Superconductivity in the t-J Model with Coulomb Interaction
- Fractionalization and confinement in the U(1) and gauge theories of strongly correlated systems
- Topological phase transitions with SO(4) symmetry in (2+1)d interacting Dirac fermions
- Disordered fermionic quantum critical points
- Quantum generated vortices, dual singular gauge transformation and zero temperature transition from d-wave superconductor to underdoped regime
- Quantum phase transitions in antiferromagnets and superfluids
- Finite-Scale Emergence of 2+1D Supersymmetry at First-Order Quantum Phase Transition
- Quantum Hall Stripe Phases at Integer Filling Factors
- On gauge-invariant Green function in 2+1 dimensional QED
- s-wave Cooper pair insulators and theory of correlated superconductors
- Elliptic Phases: A Study of the Nonlinear Elasticity of Twist-Grain Boundaries
- Breakdown of Fermi liquid behavior near the hot spots in a two-dimensional model: A two-loop renormalization group analysis
- Flowing from 16 to 32 Supercharges
- Gauge field theory of transport and magnetic relaxation in underdoped cuprates
- Effects of an electronic topological transition for anisotropic low-dimensional superconductors
- Theory of doped Mott insulators: duality between pairing and magnetism
- Probing the Gauge Structure of high-temperature superconductors
- The Roton Fermi Liquid
- Nodal Liquids in Extended t-J Models and Dynamical Supersymmetry
- Competing orders in the Dirac-like electronic structure and the non-linear sigma model with the topological terms
- Theory of spin response in underdoped cuprates as strongly fluctuating d-wave superconductors
- D3-D7 Holographic dual of a perturbed 3D CFT
- Emergent relativistic-like Kinematics and Dynamical Mass Generation for a Lifshitz-type Yukawa model
- Anatomy of Z2 fluxes in anyon Fermi liquids and Bose condensates
- Cusps near Topological Phase Transitions: Signatures of Majorana fermions and interactions with fluctuations
- Electromagnetic Response of Layered Superconductors with Broken Lattice Inversion Symmetry
- Topological Quantum Critical Points in Strong Coupling limits: Global Symmetries and Strongly Interacting Majorana Fermions
- Two-dimensional fermionic superfluids, pairing instability and vortex liquids in the absence of time reversal symmetry
- Quantum fluctuations, pseudogap, and the T=0 superfluid density in strongly correlated d-wave superconductors
- Nonequilibrium Critical Dynamics with Emergent Supersymmetry
- Five loop renormalization of the Wess-Zumino model
- Composite Supersymmetries in low-dimensional systems
- Andreev reflection off a fluctuating superconductor in the absence of equilibrium
- The point-splitting regularization of (2+1)d parity breaking models
- Spin and charge order in Mott insulators and d-wave superconductors
- Role of spinon and spinon singlet pair excitations on phase transitions in superconductors
- Characterization of two-dimensional fermionic insulating states
- Absence of emergent supersymmetry at superconducting quantum critical points in Dirac and Weyl semimetals
- Spin-charge bound states and emerging fermions in a quantum spin liquid
- Driven Critical Dynamics in Tricitical Point
- Quantum-disordered slave-boson theory of underdoped cuprates
- Aspects of Duality in Nodal Liquids
- Duality picture between antiferromagnetism and d-wave superconductivity in t-J model at two dimensions
- Quantum phase transitions and collective modes in d-wave superconductors
- Supersymmetry dynamics on Rydberg atom arrays
- Gauge-invariant Green function in 3+1 dimensional QED (QCD) and 2+1 dimensional Abelian (Non-Abelian) Chern-Simon theory
- Quantum vortex fluctuations in cuprate superconductors
- Radiatively-induced Magnetic moment in four-dimensional anisotropic QED in an external magnetic field
- Quantum Criticality at the Metal Insulator Transition
- Consilience of High-Tc Theories
- Equivalence class of Emergent Single Weyl fermion lattice models in 3 dimensions: gapless superconductors and superfluids versus chiral fermions