Fitting to magnetoresistance under weak localization in three dimensions

Abstract

We discuss a number of suggested explanations for observed discrepancies between theories of the quantum corrections to conduction, and recent magnetoresistance experiments on bulk metallic glasses. We emphasize the importance of competing effects, particularly the influence of magnetic impurities. Data showing these effects are presented and analyzed using a theory of Béal-Monod and Weiner to account for the direct magnetoresistance from the spin scattering and the magnetic field dependence of the spin-flip dephasing rate. Throughout, we provide useful numerical procedures for the efficient evaluation of the theoretical expressions used in analyzing such data, and point out that some theoretical expressions must be altered when considering strongly enhanced paramagnetic systems

Spin–orbit coupling and weak antilocalization in the thermoelectric material $\beta $ -K2Bi8Se13

“…) [14], the magnetic field dependence of quantum correction to resistivity in the presence of SOC is:…”

Giant magnetoresistance in the cluster glass regime of Co-Ga alloys

“…In particular, magnetic impurities have two-fold effect on MR; a direct contribution due to the field dependence of the spin-flip scattering, and an indirect contribution from spin-flip dephasing of the electron wave function. 15 However, most experimental evidences manifested a poorer agreement with the theory in bulk disordered conductors compared to that in 2-D systems. The MR data at 5 K when plotted against H 1/2 and H 2 for high and low field, respectively shows fairly linear behavior, as expected from the asymptotic form in the expression for negative MR as suggested by Kawabata for 3-D WL regime.…”

Weak localization effect in pulsed laser deposited ZnO film

“…On applying magnetic field, there will be a phase difference acquire by the two waves and thus the interference condition gets violated so resistivity decreases and hence results in negative MR. We have apply the Kawabata's equation for three dimensional (3D) system which has included the influence of applied magnetic field on the electrical conductivity/resistivity in the weak localization regime at a given temperature. For 3D case, the Kawabata's equation is given by [6], ) ( 2 ) ( Fig. 1 depicts the MR of ZnO film in weak field case upto 2 T magnetic field and the solid thick lines are least square fits to our experimental data using the frame work of Kabawata's 3D formula (equation (1) The variation of inelastic scattering fields as a function of temperature is shown in Fig.…”