Normalized representation of spin valve resistance value by the hyperbolic metric

Abstract

Magnetoresistive sensors for measuring the magnetic field strength in a wide range up to saturation are considered. Normalized or relative expressions are introduced to change the resistance of the sensor to evaluate the qualitative characteristics of the mode, increase the informativity of the mode, and provide the possibility of comparing different sensors. Magnetoresistors are characterized by three characteristic values (minimum, nominal, and maximum). Therefore, the proposed relative expressions include these characteristic values. To justify these expressions, a hyperbolic straight line geometry and a cross ratio of four points are used. The results are of interdisciplinary interest in view of similarity of characteristics of sensors of different physical nature.