  Tetralayer graphene has recently become a new addition to the family of
few-layer graphene with versatile electronic properties. This material can be
realised in three distinctive stacking configurations, for which we determine
spectroscopic signatures in angle-resolved photoemission spectroscopy (ARPES),
dynamical optical conductivity, and Raman spectra of inter-band excitations.
The reported library of spectral features of tetralayer graphenes can be used
for the non-invasive identification of the stacking order realised in a
particular film.
