The Investigation of Giant Magneto Resistance in an Inhomogeneous Ladder Lattice

Subject Areas : Journal of Optoelectronical Nanostructures

Zeynab Bagheri ¹ , Mehdi Hosseini ² , Omid Reza Daneshmandi ³

1 - Department of Physics, Shiraz University of Technology, Shiraz, Iran
2 - Shiraz University of Technology
3 - Sensor Research Group, Institute of Mechanics, Department of Electrical and Computer Engineering, Shiraz University, Shiraz, Iran.

Received: 2019-08-25 Accepted : 2019-10-03 Published : 2019-12-01

Keywords: Magnetic Sensor, Giant Magneto Resistance, Resistor Network Model,

Abstract :

Abstract : 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.

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