  We examine the effects of an artificial gauge field and finite temperature in
a two-dimensional disordered Bose-Hubbard model. The disorder considered is
diagonal and quenched in nature. A signature of disorder in the Bose-Hubbard
model is the Bose glass phase. Our work shows that the introduction of an
artificial gauge field enhances the domain of the Bose glass phase in the phase
diagram. Most importantly, the size of the domain can be tuned with the
strength of the artificial gauge field. The introduction of the finite
temperature effects is essential to relate theoretical results with the
experimental realizations. For our studies we use the single site and cluster
Gutzwiller mean-field theories. The results from the latter are more reliable
as it better describes the correlation effects. Our results show that the Bose
glass phase has a larger domain with the latter method.
