Enhancement of Bose glass phase in presence of artificial gauge field

We study the effect of diagonal disorder on zero and finite temperature phase diagrams of two dimensional Bose Hubbard model. Employing single site and cluster Gutzwiller mean field theory we incorporate the effect of disorder which results in the formation of Bose glass phase. This inhibits direct transition from Mott insulator to superfluid phase. The use of cluster Gutzwiller mean field improves the correlation and there is enlargement of the Bose glass phase region. Similar enlargement is observed on introducing artificial gauge field. More importantly, to relate with the experimental realization we include finite temperature effects, and this leads to melting of Bose glass as well as the Mott insulator phase.