Theory of the magnetic resonance for the high-TCTC cuprate superconductors

• High-TC cuprates.
• (π,π)(π,π) magnetic resonance.
• Fauque et al.’s zero-momentum antiferromagnetism.
• Pseudogap.
• Theory of the magnetic resonance.

The magnetic response expected from a state characterized by rotating antiferromagnetism in a neutron-scattering experiment is calculated. We predict the occurrence of a peak at the frequency of the rotation of the rotating antiferromagnetic order parameter. The doping dependence trends of this frequency are very similar to those of the frequency of the magnetic resonance observed in neutron-scattering experiments for the hole-doped high-TCTC cuprates. This leads us to propose the rotating antiferromagnetism as a possible mechanism for this magnetic resonance. Also, the interpretation of the rotating order parameter as a probability for a spin flip process to occur allows us to argue that the unusual zero momentum antiferromagnetic order observed by Fauqué et al. is equivalent to the rotating antiferromagnetism phenomenon. We conclude that while the magnitude of the rotating antiferromagnetic order parameter was previously proposed to be responsible for the pseudogap and the unusual thermodynamic and transport properties, the phase of the rotating order parameter is proposed here to be responsible for the unusual magnetic properties of the high-TCTC cuprate superconductors.