# 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 $2{\bf {p}}_{\text{F}}$ 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$_{4+\delta}$.
Document type :
Preprints, Working Papers, ...

https://hal-cea.archives-ouvertes.fr/cea-01490533
Contributor : Emmanuelle de Laborderie <>
Submitted on : Wednesday, March 15, 2017 - 2:42:18 PM
Last modification on : Wednesday, April 14, 2021 - 12:12:49 PM

### Identifiers

• HAL Id : cea-01490533, version 1
• ARXIV : 1703.04442

### Citation

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

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