I am a PhD student working in Exp. Condensed Matter Physics. I am working on some Hall Resistivity data. I have few question regarding the Anomalous Hall Effect.
1). How I will know that AHE is present in my Hall Data ?
2). If it is present, How I can extract it ?
I would be happy to if someone explain it for me.
The traditional Hall effect signal is a line with the angular coefficient being inversely proportional to the charge density times electric charge of the carrier. The anomalous Hall effect, like any other 'anomalous' type of signal, depends on the magnetization of the material, and it appears as a hysteresis loop.
If you have an external magnetic field strong enough, your signal will have contributions from both effects. To separate them, simply remove one line from your data, and you'll isolate your anomalous Hall signal.
you can search in our literature, the workers have obtained different anomalies. and you can conclude how they identify all anomalies to take an idea on this subject.
Keep in mind that scientists often call the Hall effect anomalous, when in fact it is not. The fact is that the simplest one-band model does not always explain the experiment. But if you apply a two-band model, the behaviour of this effect fits within its framework. For example, the change in the sign of the Hall effect in superconductors is treated as an anomaly, but I have shown that there is no anomaly there. I am sending you this publication. For more details, see pages 7-9 in [Yu. Uhryn, O. Kuzyk, Minority Current Carriers are Responsible for the Superconducting State, Romanian Journal of Physics 68, 606 (2023)]