01687nas a2200193 4500008004100000245004100041210004000082300001100122490000700133520113800140653004601278653002001324100001901344700002201363700001701385700001801402700001801420856005501438 2011 eng d00aDisordered spinor Bose-Hubbard model0 aDisordered spinor BoseHubbard model a0136050 v833 aWe study the zero-temperature phase diagram of the disordered spin-1 Bose-Hubbard model in a two-dimensional square lattice. To this aim, we use a mean-field Gutzwiller ansatz and a probabilistic mean-field perturbation theory. The spin interaction induces two different regimes, corresponding to a ferromagnetic and antiferromagnetic order. In the ferromagnetic case, the introduction of disorder reproduces analogous features of the disordered scalar Bose-Hubbard model, consisting in the formation of a Bose glass phase between Mott insulator lobes. In the antiferromagnetic regime, the phase diagram differs more from the scalar case. Disorder in the chemical potential can lead to the disappearance of Mott insulator lobes with an odd-integer filling factor and, for sufficiently strong spin coupling, to Bose glass of singlets between even-filling Mott insulator lobes. Disorder in the spinor coupling parameter results in the appearance of a Bose glass phase only between the n and the n+1 lobes for n odd. Disorder in the scalar Hubbard interaction inhibits Mott insulator regions for occupation larger than a critical value.10aCondensed Matter - Other Condensed Matter10aQuantum Physics1 aŁ{\k a}cki, M1 aPaganelli, Simone1 aAhufinger, V1 aSanpera, Anna1 aZakrzewski, J uhttp://link.aps.org/doi/10.1103/PhysRevA.83.013605