Properties of a weakly interacting electronic system under a staggered magnetic field

We study the properties of a two-dimensional interacting electronic system in the presence of a staggered magnetic field. We find that metal-insulator transitions can be achieved at both zero and non-zero temperatures. A d-wa ve-like pseudogap is opened on the two-dimensional square Fermi surface. Th e staggered magnetic Aux is found to suppress the antiferromagnetic order. When random fluctuations of the perfect staggered field are turned on and i ncreased, a finite legion of Fermi surface around (+/-pi/2, +/-pi/2) will b e gradually formed as the bandwidth decreases. We also find that the assume d disturbed staggered field in our model can actually simulate the spin flu ctuations occurring in the interacting system.