Accelerated detectors in Dirac vacuum: the effects of horizon fluctuations

We consider an Unruh-DeWitt detector interacting with a massless Dirac field. Assuming that the detector is moving along a hyperbolic trajectory, we modeled the effects of fluctuations of the event horizon using a Dirac equation with random coefficients. First, we develop the perturbation theory for the fermionic field in the presence of randomness. Furthermore, we evaluate corrections due to the randomness in the response function associated with different model detectors.