Nodal quasiparticles and the onset of spin density wave order in the cuprates

Abstract

We present a theory for the onset of spin density wave order in the superconducting ground state of the cuprates. We compute the scaling dimensions of allowed perturbations of a `relativistic' fixed point with O(4)xO(3) symmetry, including those associated with the fermionic nodal Bogoliubov quasiparticles. Analyses of up to six loops show that all perturbations with square lattice symmetry are likely irrelevant. We demonstrate that the fermion spectral functions are primarily damped by the coupling to fluctuations of a composite field with Ising nematic order. We also discuss the influence of quenched disorder.

4 pages

References in corpus (6)

• Evolution of the electronic excitation spectrum with strongly diminishing hole-density in superconducting Bi_{2}Sr_{2}CaCu_{2}O_{8+δ}
• Distinguishing Patterns of Charge Order: Stripes or Checkerboards
• Theory of the nodal nematic quantum phase transition in superconductors
• From stripe to checkerboard order on the square lattice in the presence of quenched disorder
• Stability of nodal quasi-particles in superconductors with coexisting orders
• Spin-density-wave order in cuprates

Cited by in corpus (10)

• Lattice symmetry breaking in cuprate superconductors: Stripes, nematics, and superconductivity
• How Cooper pairs vanish approaching the Mott insulator in Bi2Sr2CaCu2O8+d
• Coherent and dissipative dynamics at quantum phase transitions
• DC resistivity at the onset of spin density wave order in two-dimensional metals
• Quantum critical point shifts under superconductivity: the pnictides and the cuprates
• Anomalous thermodynamic properties of quantum critical superconductors
• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• Unconventional non-Fermi liquid state caused by nematic criticality in cuprates
• Strange metallicity in an antiferromagnetic quantum critical model: A sign-problem-free quantum Monte-Carlo study
• Conjecture on the lower bound of the length-scale critical exponent $\nu$ at continuous phase transitions