Coexistence of bulk antiferromagnetic order and superconductivity in the QED3 theory of copper oxides

Abstract

Within the framework of the QED3 theory of cuprates it is argued that bulk antiferromagnetic (AF) order can coexist with d-wave superconductivity in the underdoped region, in agreement with recent experiments. The AF order arises from the phase fluctuating d-wave superconductor via the mechanism of spontaneous chiral symmetry breaking, provided that fluctuations are sufficiently strong. The phase diagram for this coexistence is mapped out by means of analytical and numerical solutions of the underlying Dyson-Schwinger equation in the large N limit.

arXiv comment4 pages REVTeX, 3 figures; version to appear in PRB/RC

References in corpus (24)

• A Four-Unit-Cell Periodic Pattern of Quasiparticle States Surrounding Vortex Cores in Bi2Sr2CaCu2O8+d
• Vanishing of phase coherence in underdoped Bi_2Sr_2CaCu_2O_8+d
• Antiferromagnetic Order Induced by an Applied Magnetic Field in a High-Temperature Superconductor
• Spins in the Vortices of a High Temperature Superconductor
• Conformal Phase Transition in Gauge Theories
• QED3 theory of pairing pseudogap in cuprates: From d-wave superconductor to antiferromagnet via "algebraic" Fermi liquid
• Algebraic Fermi liquid from phase fluctuations: "topological" fermions, vortex "berryons" and QED3 theory of cuprate superconductors
• An SU(2) Formulation of the t-J model: Application to Underdoped Cuprates
• The high-field phase diagram of the cuprates derived from the Nernst effect
• Charge order, superconductivity, and a global phase diagram of doped antiferromagnets
• 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
• Antiferromagnetism from phase disordering of a d-wave superconductor
• Antiferromagnetic ordering in superconducting $\mathbf{YB}{\mathbf{a}}_2\mathbf{C}{\mathbf{u}}_3{\mathbf{O}}_{6.5}$
• Evidence for Static Magnetism in the Vortex Cores of Ortho-II YBa${}_2$Cu${}_3$O${}_{6.50}$
• Chiral Symmetry Breaking and Phase Fluctuations in Cuprate Superconductors: A QED${}_3$ Unified Theory of the Pseudogap State
• Observation of Magnetic Moments in the Superconducting State of YBa${}_2$Cu${}_3$O${}_{6.6}$
• Magnetic field induced charge and spin instabilities in cuprate superconductors
• 2+1 Dimensional QED and a Novel Phase Transition
• 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}
• Dynamical chiral symmetry breaking in gauge theories with extra dimensions
• Fine structure of chiral symmetry breaking in the $QE{D}_3$ theory of underdoped high-$T_c$ superconductors

Cited by in corpus (11)

• Gauge independent approach to chiral symmetry breaking in a strong magnetic field
• Infrared cutoff dependence of the critical flavor number in three-dimensional QED
• Local density of states of a d-wave superconductor with inhomogeneous antiferromagnetic correlations
• Common energy scale for magnetism and superconductivity in cuprates
• Role of non-magnetic disorder on the stability of U(1) spin liquid : A renormalization group study
• Theory of spin response in underdoped cuprates as strongly fluctuating d-wave superconductors
• Effect of nonmagnetic disorder on criticality in the "dirty" U(1) spin liquid
• Existence of Fermion Zero Modes and Deconfinement of Spinons in Quantum Antiferromagnetism resulting from Algebraic Spin Liquid
• Role of spinon and spinon singlet pair excitations on phase transitions in $d-wave$ superconductors
• Effect of gauge boson mass on the phase structure of QED${}_3$
• QED_3 theory of underdoped high temperature superconductors II: the quantum critical point