“…This gives rise to an anomalous Hall voltage ( , where is the Hall resistance), which is proportional to the perpendicular magnetization that can be controlled by the external perpendicular magnetic field. For a given magnetic system, the Hall-resistance response, also known as the sensitivity s (in the unit of Ω/T), depends strongly on the magnetic anisotropy of the ferromagnet [ 1 , 2 , 3 , 4 , 5 , 6 ]. The sensitivity, together with the Hall voltage noise (in the unit of V 2 /Hz), including both the electronic noise originating from defects and the magnetic noise originating from thermal magnetic fluctuations, determines the magnetic field detectability [ 2 , 4 , 5 ].…”