  We provide a framework to compute the dynamics of massive Dirac fermions
using holography. To this end we consider two bulk Dirac fermions that are
coupled via a Yukawa interaction and propagate on a gravitational background in
which a mass deformation is introduced. Moreover, we discuss the incorporation
of this approach in semiholography. The resulting undoped fermionic spectral
functions indeed show that the Yukawa coupling induces a gap in the holographic
spectrum, whereas the semiholographic extension is in general gapped but
additionally contains a quantum critical point at which the effective fermion
mass vanishes and a topological phase transition occurs. Furthermore, when
introducing doping, the fermionic spectral functions show a quantum phase
transition between a gapped material and a Fermi liquid.
