The AMR Effect

The anisotropic magnetoresistive effect (AMR) is known since the last century. It was detected by Thomson in 1854?.
Many detailed description about AMR are found in the literature. A recent study about limits of MR sensor sensitivity was performed by Bettner.

The aim of this web site is to provide a model to the user of MR technology and help him to understand MR sensor characteristics.

The AMR resistance change is physically based on the angle variation between magnetisation direction and flowing current direction. The MR user has to consider
1. how the magnetisation direction in thin magnetic films is influenced by auxiliary magnetic fields ?
2. how the magneto resistance change depends on the angle between magnetisation and current ?

A simple equation answers the second question:

R = R0 + dR * cos(2*a)

With R0 - average resistance without magnetic field, dR maximum resistance change.

The magnetisation angle can be calculated by the stoner wohlfahrt equation, examples are given in the literature.
A simple mechanical model, which is equivalent to the magnetic behaviour of the thin film magnetisation, is shown in the following video.

Description of the model

red magneto-resistive stripe
green magnetisation (able to rotate)
blue the auxiliary magnetic field
green anisotropy of the stripe


The back side of the video pictures shows characteristic MR curves and their operating points at different magnetisation angles. Only magnetic fields perpendicular to the stripe direction are used. These are weaker than the intrinsic anisotropic field (weak field modus).
You can download a simulation tool of the stripe magnetisation here.

Magnetisation changes in stronger magnetic fields (strong field modus) are shown in the next video.

A linearization of the MR characteristic is reached with barber pole structures. This will be demonstrated by the following video. The effect of the barber poles is to rotate the current direction in 45°. literatur)

These were the basic elements that build the fundamentals of AMR-sensor characteristic.