Hall effect of the colossal magnetoresistance manganiteLa1−xCaxMnO

Abstract

The Hall resistivity H and magnetoresistance of La 1Ϫx Ca x MnO 3 (T c ϭ265 K͒ have been measured at temperatures to 360 K in fields H to 14 T. By comparing H with the magnetization M , we have extracted the anomalous coefficient R s . We uncover an interesting relationship: R s is proportional to the zero-field resistivity from 200 to 360 K. Above T c , the Hall angle tan H ϳM . Further, the effective Hall mobility is H independent over a wide range of H. We contrast these scaling relations with the Hall effect in typical ferromagnets. ͓S0163-1829͑98͒01618-X͔

Hall effect ofLa2/3(Ca,Pb)Chun1, Salamon2, Han3 1999Phys. Rev. B344262View full textAdd to dashboardCite

“…2, the upper inset). The coefficient α is −1.7 × 10 −3 T −1 and the absolute magnitude of R S is comparable to that of Ca-doped thin film samples 7,8 . This linear relation is in agreement with the classical skew scattering theory, where moving charge carriers experience a force due to the magnetic field produced by a localized magnetic moment and are scattered asymmetrically 15 .…”

Anomalous and planar Nernst effects in thin films of the half-metallic ferromagnetLa2/3Sr1/3MnO3

“…In any case, our results put an upper limit to the possible observation [28], and Pt/YIG bilayers [24], and can be understood in terms of the Mott relationship between the anomalous Nernst and Hall coefficients [28,29,30,31]. This means that the ANE must be determined by the energy dependence of its electrical charge counterpart: Where  xy =  M z  xx n is the anomalous Hall resistivity [32,33]. Given the relationship between the anomalous Hall conductivity and the linear resistivity,  xy   xx n-2 , n = 1 results in a linear dependence of the Hall conductivity with the scattering time, , characteristic of the skew scattering extrinsic mechanism for AHE in the clean (high conductivity) limit.…”

Anomalous Hall effect and magnetoresistance in the layered ferromagnetFe1∕4TaS2: The inelastic regime

“…Despite the vanishing of the spontaneous M , field-induced alignment of the moments produces a large anomalous Hall response in the paramagnetic state (this is commonly observed in ferromagnets, e.g. in manganites [9]). …”

“…Although the investigation of this topic has had a very long history, interest in its many ramifications continues to surface, as our understanding of quantum effects in electron transport improves. The past 7 years have seen strong resurgent interestboth theoretical [1,2,3,4,5,6,7,8] and experimental [9,10,11,12,13,14,15,16,17] -on the anomalous Hall effect (AHE), which is perhaps the most fascinating manifestation of TRS breaking in a ferromagnet. Recent research has clarified the fundamental relation between the Berry phase and the anomalous velocity which leads directly to the AHE when time-reversal invariance is broken.…”