Xianlong, G.Polini, M.Tanatar, BilalTosi, M. P.2016-02-082016-02-0820061098-0121http://hdl.handle.net/11693/23799Interacting two-component Fermi gases loaded in a one-dimensional (1D) lattice and subject to harmonic trapping exhibit intriguing compound phases in which fluid regions coexist with local Mott-insulator and/or band-insulator regions. Motivated by experiments on cold atoms inside disordered optical lattices, we present a theoretical study of the effects of a random potential on these ground-state phases. Within a density-functional scheme we show that disorder has two main effects: (i) it destroys the local insulating regions if it is sufficiently strong compared with the on-site atom-atom repulsion, and (ii) it induces an anomaly in the compressibility at low density from quenching of percolation. © 2006 The American Physical Society.EnglishArticle10.1103/PhysRevB.73.161103