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We present the electron tunneling transport and spectroscopic characters of asuperconducting {\it Josephson} junction with a barrier of single anisotropicKitaev quantum spin liquid (QSL) layer. We find that the dynamical spincorrelation features are well reflected in the direct-current differentialconductance $dI^{c}/dV$ of the single-particle tunneling, including the uniquespin gap and dressed itinerant Majorana dispersive band, in addition to anenergy shift $2\Delta$ of two-lead superconducting gaps. From the spectralcharacters, we identify different topological quantum phases of the anisotropicKitaev QSL. We also present the zero-voltage {\it Josephson} current $I^{s}$which displays residual features of the anisotropic Kitaev QSL. These resultspave a new way to measure the dynamical spinon or Majorana fermion spectroscopyof the Kitaev and other spin liquid materials.

Electron Tunneling Spectroscopy of the Anisotropic Kitaev Quantum Spin Liquid Sandwiched with Superconductors