Electron Tunneling Transport and Magnetic Field Modulation Through a Superconductor‐Kitaev Layer‐Superconductor Junction

We present the electron tunneling transport and its magnetic field modulation of a superconducting (SC) Josephson junction with a barrier of single isotropic ferromagnetic (FM) Kitaev layer. We find that at the magnetic field 0, the Josephson current displays two peaks when the ratio of Kitaev coupling to SC energy gap 1.7 and 5, which stem from the resonant tunnelings between the SC gap boundaries and the spinon dispersive bands and between the SC gap edges and the spinon flat bands, respectively. With the increasing magnetic field, gradually decreases and abruptly drops to a platform at the critical magnetic field 0.03 ( is the factor and is the magneton.), since the applied field suppresses the spinon density of states (DOS) once upon the Kitaev layer enters the polarized FM phase. These results pave a new way to measure the spinon or Majorana fermion DOS of the Kitaev and other spin liquid materials.