The Investigation of Giant Magneto Resistance in an Inhomogeneous Ladder Lattice

Abstract : The variation of the electrical resistivity of a material in the externalmagnetic field is known as magneto resistance. This phenomenon has been attractedboth theoretical and experimental researchers in miniaturization of magneto meters inthe recent years. In this paper, the magneto resistance of an inhomogeneous twodimensional conductor with ladder geometry is simulated by using a two dimensionalresistor network model. Maxwell's equations have been solved for a point of latticeconsidered as disk and then, its magneto resistance was calculated using a networkmodel. The results illustrate that the magneto resistance depends on the specificresistance ratios and their locations. Moreover, the results demonstrate wheninhomogeneity is added properly, the magneto resistance will be increased, otherwise itwill be reduced. The results also show that for special values of physical parametersespecially the inhomogeneity, the magneto resistance is diverged at special magneticfield.

Keywords:

Magnetic Sensor , Giant Magneto Resistance , Resistor Network Model