INTERPLAY OF DISORDER AND INTERACTIONS IN TWO DIMENSIONAL SYSTEMS
ABSTRACT :
In first part of this thesis we uncover a tunable random field mechanism that becomes operative due to an interplay of quenched disorder with ground states that break real space symmetry. We also conjecture that this novel tuneable mechanism can be used to control the phases of several experimentally relevant systems thereby giving a new avenue to probe ground states of strongly correlated systems. In the second part of the thesis we study a novel metal-insulator transition in a spin-selectively disordered two dimensional Hubbard model. This transition which is filling dependent puts to rest the important question of whether interactions can stablize a metallic phase in a two dimensional disordered fermionic systems.​