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.

arXiv comment4 pages

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• Coherent and dissipative dynamics at quantum phase transitions
• Gauge theory for the cuprates near optimal doping
• Quantum critical response at the onset of spin density wave order in two-dimensional metals
• DC resistivity at the onset of spin density wave order in two-dimensional metals
• Enhancement of the London penetration depth in pnictides at the onset of SDW order under superconducting dome
• Competing order in correlated electron systems made simple: Consistent fusion of functional renormalization and mean-field theory
• Anisotropic quasiparticle scattering rates in slightly underdoped to optimally doped high-temperature \LSCO\ superconductors
• Singularity of the London penetration depth at quantum critical points in superconductors
• Quantum critical point shifts under superconductivity: the pnictides and the cuprates
• Influence of Coulomb interaction on the anisotropic Dirac cone in graphene
• Quantum phase transitions of antiferromagnets and the cuprate superconductors
• Effect of SDW fluctuations on the specific heat jump in iron pnictides at a superconducting transition
• Anomalous thermodynamic properties of quantum critical superconductors
• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• On the Origin of the Checkerboard Pattern in Scanning Tunneling Microscopy Maps of Underdoped Cuprate Superconductors
• 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
• Josephsonic diagnostic of competing orders in quantum critical multiband superconductors
• Conjecture on the lower bound of the length-scale critical exponent $\nu$ at continuous phase transitions
• Theory of Quantum Phase Transition in Iron-based Superconductors with Half-Dirac Nodal Electron Fermi Surface