Chiral Symmetry Breaking and Phase Fluctuations in Cuprate Superconductors: A QED${}_3$ Unified Theory of the Pseudogap State

Abstract

A d-wave superconductor, its phase coherence progressively destroyed by unbinding of vortex-antivortex pairs, suffers an instability related to chiral symmetry breaking in two-flavor QED${}_3$. The chiral manifold exhibits large degeneracy spanned by physical states acting as inherent ``competitors'' of d-wave superconductivity. Two of these states are associated with antiferromagnetic insulator and ``stripe'' phases, known to be stable in the pseudogap regime of cuprates near half-filling. The theory also predicts additional, yet unobserved state: a d+ip phase-incoherent superconductor.

arXiv comment4 pages, 2 figures

References in corpus (15)

• Vanishing of phase coherence in underdoped Bi_2Sr_2CaCu_2O_8+d
• The onset of the vortex-like Nernst signal above Tc in La_{2-x}Sr_xCuO_4 and Bi_2Sr_{2-y}La_yCuO_6
• Algebraic Fermi liquid from phase fluctuations: "topological" fermions, vortex "berryons" and QED3 theory of cuprate superconductors
• Low-Energy Quasiparticles in Cuprate Superconductors: A Quantitative Analysis
• Confinement and complex singularities in QED3
• A New Constraint on Strongly Coupled Field Theories
• Dual Order Parameter for the Nodal Liquid
• The Influence of the Full Vertex and Vacuum Polarization on the Fermion Propagator in QED3
• Quasiparticles in the vortex lattice of unconventional superconductors: Bloch waves or Landau levels?
• Antiferromagnetism from phase disordering of a d-wave superconductor
• Quasiparticles and Vortices in Unconventional Superconductors
• Entropy of vortex cores on the border of the superconductor-to-insulator transition in an underdoped cuprate
• Deviations from Fermi-Liquid behaviour in (2+1)-dimensional Quantum Electrodynamics and the normal phase of high-$T_c$ Superconductors
• Nonperturbative infrared dynamics of three-dimensional QED with a four-fermion interaction
• Shape and Motion of Vortex Cores in Bi_2Sr_2CaCu_2O_{8+δ}

Cited by in corpus (67)

• Theory of interacting electrons on the honeycomb lattice
• Algebraic spin liquid as the mother of many competing orders
• Theory of Superconductivity in Strongly Correlated Electron Systems
• QED3 theory of pairing pseudogap in cuprates: From d-wave superconductor to antiferromagnet via "algebraic" Fermi liquid
• QED3 theory of underdoped high temperature superconductors
• Many-body spin Berry phases emerging from the $\pi$-flux state: antiferromagnetic/valence-bond-solid competition
• Dynamical Chiral Symmetry Breaking in Unquenched ${QED}_3$
• Tunneling conductance in $s$- and d-wave superconductor-graphene junctions: Extended Blonder-Tinkham-Klapwijk formalism
• Phase diagram of planar U(1)xU(1) superconductors: condensation of vortices with fractional flux and a superfluid state
• Non-Compact QED_3 with N_f=1 and N_f=4
• Field- and temperature induced topological phase transitions in the three-dimensional $N$-component London superconductor
• On the Phase Structure of Many-Flavor QED${}_3$
• Chiral symmetry breaking in ${\mathrm{QED}}_3$ in presence of irrelevant interactions: a renormalization group study
• Magnetic field induced charge and spin instabilities in cuprate superconductors
• Stability of nodal quasi-particles in superconductors with coexisting orders
• Effect of gauge boson mass on chiral symmetry breaking in QED${}_3$
• A model of phase fluctuations in a lattice d-wave superconductor: application to the Cooper pair charge-density-wave in underdoped cuprates
• Excitonic pairing between nodal fermions
• Relativity Restored: Dirac Anisotropy in QED${}_3$
• Pseudo-magnetic catalysis of the time-reversal symmetry breaking in graphene
• Infrared cutoff dependence of the critical flavor number in three-dimensional QED
• Parametric resonance of Josephson plasma waves: A theory for optically amplified interlayer superconductivity in YBa${}_2$Cu${}_3$O${}_{6+x}$
• The effect of velocity anisotropy on the antiferromagnetic instability of a d-wave superconductor
• Birefringent break up of Dirac fermions in a square optical lattice
• Kosterlitz-Thouless-like deconfinement mechanism in the 2+1 dimensional Abelian Higgs model
• Gauge invariant response functions in Algebraic Fermi liquids
• Fermion Condensate and Vacuum Current Density Induced by Homogeneous and Inhomogeneous Magnetic Fields in (2+1)-Dimensions
• Chiral Symmetry Breaking and Confinement Beyond Rainbow-Ladder Truncation
• Effective SU(2) theory for the pseudogap state
• 1/N Expansion in Correlated Graphene
• Classification of massive and gapless phases in bilayer graphene
• Finite volume effects and dynamical chiral symmetry breaking in QED3
• Anomalous dissipation in the mixed state of underdoped cuprates close to the superconductor-insulator boundary
• Dirac-Bogoliubov-deGennes quasiparticles in a vortex lattice
• Chiral symmetry breaking and violation of the Wiedemann-Franz law in underdoped cuprates
• Towards Critical Physics in 2+1d with U(2N)-Invariant Fermions
• Inhomogeneous phases in the chirally imbalanced $2+1$-dimensional Gross-Neveu model and their absence in the continuum limit
• Thermal conductivity and competing orders in d-wave superconductors
• Superconductivity in the quasi-two-dimensional Hubbard model
• Quantum criticality of d-wave quasiparticles and superconducting phase fluctuations
• Confinement of matter fields in compact (2+1)-dimensional QED theory of high-$T_c$ superconductors
• Dynamical chiral symmetry breaking in QED${}_3$ at finite density and impurity potential
• Chiral and Parity Symmetry Breaking for Planar Fermions: Effects of a Heat Bath and Uniform External Magnetic Field
• QED${}_3$ on a space-time lattice: compact versus noncompact formulation
• Elusive physical electron propagator in QED-like effective theories
• Coexistence of bulk antiferromagnetic order and superconductivity in the QED3 theory of copper oxides
• Fine structure of chiral symmetry breaking in the $QE{D}_3$ theory of underdoped high-$T_c$ superconductors
• Semi-metal-insulator transition on the surface of a topological insulator with in-plane magnetization
• Lattice Study of Anisotropic QED-3
• Suppression of low-energy Andreev states by a supercurrent in YBa_2Cu_3O_7-delta
• Superfluid density and competing orders in d-wave superconductors
• Chiral symmetry breaking and monopole dynamics in non-compact QED3 coupled to a four-fermi interaction
• Effects of Anisotropy in QED3 from Dyson-Schwinger equations in a box
• A Criterion for the Critical Number of Fermions and Chiral Symmetry Breaking in Anisotropic QED(2+1)
• Deconfined quantum criticality driven by Dirac fermions in SU(2) antiferromagnets
• Two Pseudogaps in the Cuprates: Meingast et al. Reply
• Massless QED_3 with explicit fermions
• Critical scaling of finite temperature QED_3 in anisotropic space-time
• Fate of non-Fermi liquid behavior in QED${}_3$ at finite chemical potential
• Half-skyrmion picture of single hole doped high-T_c cuprate
• Color degeneracy of competing orders near topological defects cores in planar quadratic band touching systems
• Anomalous magnetic moment in parity-conserving QED3
• Effects of Anisotropy in (2+1)-dimensional QED
• Pauli-Term-Induced Fixed Points in $d$-dimensional QED
• Paring instability in the mixed state of d-wave superconductor
• Critical number of fermions in three-dimensional QED
• Chiral symmetry breaking in (2+1) dimensional QED