The Investigation of Giant Magneto Resistance in an Inhomogeneous Ladder Lattice

The variation of the electrical resistivity of a material in the external magnetic field is known as magneto resistance. This phenomenon has been attracted both theoretical and experimental researchers in miniaturization of magneto meters in the recent years. In this paper, the magneto resistance of an inhomogeneous two dimensional conductor with ladder geometry is simulated by using a two dimensional resistor network model. Maxwell's equations have been solved for a point of lattice considered as disk and then, its magneto resistance was calculated using a network model. The results illustrate that the magneto resistance depends on the specific resistance ratios and their locations. Moreover, the results demonstrate when inhomogeneity is added properly, the magneto resistance will be increased, otherwise it will be reduced. The results also show that for special values of physical parameters especially the inhomogeneity, the magneto resistance is diverged at special magnetic field.