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Quantum spin-liquids are strongly correlated phases of matter displaying ahighly entangled ground state. Due to their unconventional nature, findingexperimental signatures of these states has proven to be a remarkablechallenge. Here we show that the effects of local impurities can provide strongsignatures of a Dirac quantum spin-liquid state. Focusing on a gapless Diracquantum spin-liquid state as realized in NaYbO$_2$, we show that singlemagnetic impurity coupled to the quantum spin-liquid state creates a resonantspinon peak at zero frequency, coexisting the original Dirac spinons. Weexplore the spatial dependence of this zero-bias resonance, and show howdifferent zero modes stemming from several impurities interfere. We finallyaddress how such spinon zero-mode resonances can be experimentally probed withinelastic spectroscopy and electrically-driven paramagnetic resonance withscanning tunnel microscopy. Our results put forward impurity engineering as ameans of identifying Dirac quantum spin-liquids with scanning probe techniques,highlighting the dramatic impact of magnetic impurities in a macroscopicallyentangled many-body ground state.

Impurity-induced resonant spinon zero modes in Dirac quantum spin-liquids