  In a two-dimensional noncentrosymmetric Ising superconductor in the
fluctuating regime under the action of a uniform external electromagnetic field
there emerge two contributions to the photogalvanic effect due to the trigonal
warping of the valleys. The first contribution stems from the current of the
electron gas in its normal state, while the second contribution is of
Aslamazov-Larkin nature: it originates from the presence of fluctuating Cooper
pairs when the ambient temperature approaches (from above) the temperature of
superconducting transition in the sample. The way to lift the valley degeneracy
is the application of a weak out-of-plane external magnetic field producing a
Zeeman effect. The Boltzmann equations approach for the electron gas in the
normal state and the time-dependent Ginzburg-Landau equations for the
fluctuating Cooper pairs allow for the study of the photogalvanic current in
two-dimensional transition metal dichalcogenide Ising superconductors.
