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We use neutron scattering to study magnetic excitations near theantiferromagnetic wave vector in the underdoped single-layer cuprateHgBa2CuO4+{\delta} (superconducting transition temperature Tc ~ 88 K, pseudogaptemperature T* ~ 220 K). The response is distinctly enhanced below T* andexhibits a Y-shaped dispersion in the pseudogap state, whereas thesuperconducting state features an X-shaped (hourglass) dispersion and a furtherresonance-like enhancement. A large spin gap of about 40 meV is observed inboth states. This phenomenology is reminiscent of that exhibited by bilayercuprates. The resonance spectral weight, irrespective of doping and compound,scales linearly with the putative binding energy of a spin-exciton described byan itinerant-spin formalism.

physical review letters

Hourglass dispersion and resonance of magnetic excitations in the  superconducting state of the single-layer cuprate HgBa2CuO4+{\delta} near  optimal doping