# 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 $2_{P_{F}}$ ordering vectors, where $2_{P_{F}}$ 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 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 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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Preprints, Working Papers, ...
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https://hal-cea.archives-ouvertes.fr/cea-01488955
Contributor : Emmanuelle de Laborderie <>
Submitted on : Tuesday, March 14, 2017 - 9:53:15 AM
Last modification on : Wednesday, April 14, 2021 - 12:12:49 PM

### Citation

X. Montiel, Catherine Pépin. A model for the neutron resonance in HgBa$_2$ CuO$_{4+\delta}$ . 2017. ⟨cea-01488955⟩

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