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Triangular lattice of rare-earth ions with interacting effective spin-$1/2$local moments is an ideal platform to explore the physics of quantum spinliquids (QSLs) in the presence of strong spin-orbit coupling, crystal electricfields, and geometrical frustration. The Yb delafossites, NaYbCh$_2$ (Ch=O, S,Se) with Yb ions forming a perfect triangular lattice, have been suggested tobe candidates for QSLs. Previous thermodynamics, nuclear magnetic resonance,and muon spin rotation measurements on NaYbCh$_2$ have supported the suggestionof the QSL ground states. The key signature of a QSL, the spin excitationcontinuum, arising from the spin quantum number fractionalization, has not beenobserved. Here we perform both elastic and inelastic neutron scatteringmeasurements as well as detailed thermodynamic measurements on high-qualitysingle-crystalline NaYbSe$_2$ samples to confirm the absence of long-rangemagnetic order down to 40 mK, and further reveal a clear signature of magneticexcitation continuum extending from 0.1 to 2.5 meV. The comparison between thestructure of the magnetic excitation spectra and the theoretical expectationfrom the spinon continuum suggests that the ground state of NaYbSe$_2$ is a QSLwith a spinon Fermi surface.

Spinon Fermi surface spin liquid in a triangular lattice antiferromagnet NaYbSe$_2$