A model for the neutron resonance in HgBa${}_2$CuO${}_{4+\delta }$

Abstract

We study the spin dynamics of the Resonant Excitonic State (RES) proposed, within the theory of an emergent SU(2) symmetry, to explain some properties of the pseudo-gap phase of cuprate superconductors. The RES can be described as a proliferation of particle-hole patches with an internal modulated structure. We model the RES modes as a charge order with multiple $2{\mathbf{p}}_{\text{F}}$ ordering vectors, where $2{\mathbf{p}}_{\text{F}}$ connects two opposite side of the Fermi surface. This simple modelization enables us to propose a comprehensive study of the collective mode observed at the antiferromagnetic (AF) wave vector $\mathbf{Q}=(\pi ,\pi )$ by Inelastic Neutron Scattering (INS) in both superconducting state (SC), but also in the Pseudogap regime. In this regime, we show that the dynamic spin susceptibility accuses a loss of coherence terms except at special wave vectors commensurate with the lattice. We argue that this phenomenon could explain the change of the spin response shape around $\mathbf{Q}$. We demonstrate that the hole dependence of the RES spin dynamics is in agreement with the experimental data in HgBa${}_2$CuO${}_{4+\delta }$.

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Cited by in corpus (6)

• Fractionalized pair density wave in the pseudo-gap phase of cuprate superconductors
• Evolution of spectral and transport quantities with doping in the SU(2) theory of cuprates
• Odd-frequency pair density wave correlations in underdoped cuprates
• The phase diagram of the underdoped cuprates at high magnetic field
• Fluctuations and Higgs mechanism in Under-Doped Cuprates: a Review
• Collective mode in the SU(2) theory of cuprates