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We study the dynamical response of vacancy-induced quasiparticle excitationsin the site-diluted Kitaev spin liquid with a magnetic field. Due to theflux-binding effect and the emergence of dangling Majorana fermions around eachspin vacancy, the low-energy physics is governed by a set of vacancy-inducedquasi-zero-energy modes. These localized modes result in unique characteristicsof the dynamical spin correlation functions, which intriguingly mimic thesingle-quasiparticle density of states and further exhibit aquasi-zero-frequency peak. By recognizing the potential observability of theselocal correlation functions via scanning tunneling microscopy (STM), we showhow the STM response is sensitive to the local flux configuration, the magneticfield strength, and the vacancy concentration. Constructing a simple model ofthe localized modes, we also elucidate how the local correlation functions canbe interpreted in terms of the hybridization between these modes.

Dynamics of vacancy-induced modes in the non-Abelian Kitaev spin liquid