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Article

Simple mechanism that breaks the Hall-effect linearity at low temperatures

Physical Review B: Condensed Matter and Materials Physics. 2020. Vol. 102. No. 15. P. 155426.
A. Yu. Kuntsevich, Shupletsov A. V., Rakhmanov A. L.

Hall resistance Rxy is commonly suggested to be linear-in-magnetic-field B, provided the field is small. We argue here that at low temperatures this linearity is broken due to weak localization/antilocalization phenomena in inhomogeneous systems, while in a uniform medium the linear-in-field dependence of Rxy(B) is preserved. We calculate the Hall resistance for different two-component media using a mean-field approach and show that this nonlinearity is experimentally observable.