Temperature dependence of the anomalous Hall effect in amorphous FexNi80-xB18Si2alloys

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Abstract
The Hall resistivity and electrical resistivity of amorphous FexNi80-xB18Si2 (x=15, 20, 40, 60 and 80) alloys have been measured from 77 to 400K. These alloys are ferromagnetic and for x=15 and 20 this temperature interval includes their Curie temperatures. The anomalous Hall coefficient Rs was calculated from the initial slope of the Hall resistivity as a function of magnetic field. A pronounced temperature dependence of Rs has been obtained and it is correlated to the changes in the electrical resistivity of the same alloys. For the alloys with x=20, 40 and 60, Rs is proportional to the square of the resistivity, while for x=15 the dependence of Rs on resistivity cannot be described by a single exponent. For x=80, Rs increases up to room temperature, then saturates and eventually decreases at higher temperatures. The concentration dependence of Rs (the data for the alloys with 0<x<15 are also included) is discussed and correlated to the magnetic properties of this alloy system.