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## A model for the neutron resonance in HgBa$_{2}$CuO$_{4+\delta}$

X. Montiel
• Function : Author
C. Pépin
• Function : Author

#### 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 $2{\bf {p}}_{\text{F}}$ ordering vectors, where $2{\bf {p}}_{\text{F}}$ 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$_{4+\delta}$.

### Dates and versions

cea-01490533 , version 1 (15-03-2017)

### Identifiers

• HAL Id : cea-01490533 , version 1
• ARXIV :

### Cite

X. Montiel, C. Pépin. A model for the neutron resonance in HgBa$_{2}$CuO$_{4+\delta}$. 2017. ⟨cea-01490533⟩

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