Majorana current induced by charge current in Kitaev magnet/graphene bilayers

We investigate Majorana current induced by charge current in Kitaev magnets coupled with graphene through the mechanism by which Majorana fermions in the Kitaev magnet are dragged by electrons in graphene. We calculate Majorana current density based on the perturbation with respect to a Kondo type Majorana-electron coupling and obtain an analytical expression of the Majorana current induced by charge current, indicative of electronic control of charge-neutral Majorana fermions. We also discuss Majorana heat current induced by charge current and give estimations of their magnitudes.