Hall anomalous

Here p and pj are the transverse and longitudinal resistivities with respect to the magnetization direction, respectively. The off-diagonal element pn represents the spontaneous or anomalous Hall resistivity (AHR) [3]. Conventionally, the anisotropy of the resistivity is expressed by the SMA ratio... 

The spin-orbit interaction is also called spin-orbit effect or spin-orbit coupling, which is one cause of magnetocrystalline anisotropy. SOC, the intrinsic interaction between a particle spin and its motion, is responsible for various important phenomena, ranging from atomic fine structure to topological condensed matter physics. SOC plays a major role in many important condensed matter phenomena and applications, including spin and anomalous Hall effects, topological insulators, spintronics, spin quantum computation, and so on. 

In crystalline semiconductors, the most common technique for the measurement of carrier mobility involves the Hall effect. However, in noncrystalline materials, experimental data are both fragmentary and anomalous (see, for example. Ref. [5]). Measured HaU mobility is typically of the order of 10 - 10 cm A /s and is frequently found to exhibit an anomalous sign reversal with respect to other properties providing information concerning the dominant charge carrier. Thus, apart from some theoretical interest, the Hall effect measurements are of minimal value in the study of macroscopic transport in amorphous semiconductors. 

The unique properties predicted for graphene comprise a number of very peculiar electronic properties—from an anomalous quantum Hall effect to the absence of localization. As new procedures for the large-scale production of graphene are expected to be developed in the near future, most of such properties—and those still unknown—will be soon experimentally demonstrated, thus permitting the development of the many important technological applications foreseen for this material. 

Ga,Mn)N film prepared by post growth Mn doping using solid state diffusion shows ferromagnetic behavior at room temperature, which is confirmed by the observation of an anomalous Hall effect (Reed et al. 2001). 

Due to the presence of the anomalous Hall effect (known also as the extraordinary or spin Hall effect), magnetotransport measurements provide valuable information on the magnetism of thin films. The Hall resistance / Haii is empirically known to be a sum of ordinary and anomalous Hall terms,... 

Magnetotransport measurements on n-type samples show no evidence for carrier-Mn spin interactions (Ohno et al. 1991). In particular, no magnetization-dependent anomalous Hall effect is observed within the experimental error. 

The magnetic properties of structures consisting of an (In,Mn)As layer grown onto an (In,Al)As with an composition of Al 0.15 and an AlSb buffer layer were examined by means of the anomalous Hall effect. The weakening of hysteresis with the increase of the intermediary (In,Al)As layer thickness was observed. This may result from a decrease of overlap between the Mn spins in the (In,Mn)As layer and the holes accumulated at the (In,Al)As/AlSb heterointerface (Munekata et al. 1992). 

The Kagome lattice involves a triangle as a basic unit. On the triangle, the mechanism by Kumar and Shastry [18, 31] for the anomalous Hall effect will be available and explain the experiments by Wang et al. 

Boyle, D.R., Turner, R.J.W. and Hall, G.E.M. (1998) Anomalous arsenic concentrations in groundwaters of an island community, Bowen Island, British Columbia. Environmental Geochemistry and Health, 20(4), 199-212. 

There are two contributions to pxy and so two terms in Eq. (22) the first one (normal HE) is caused by the Lorentz force and is proportional to magnetic induction B the second one (anomalous HE) is proportional to magnetization M (R0 and Rs are coefficients of normal and anomalous Hall effects, respectively). The second term is related to the influence of the spin-orbital interaction (SOI) on the scattering of the spin-polarized electrons and essentially exceeds the normal component [97],... 

The discussion of Eq. (21) is still correct even for magnetic granular metals, where the Hall effect has the anomalous nature [81], and its behavior at v a c is similar to that in bulk ferromagnetic metals. The only distinction is related to the difference between volumes of a sample and a cluster. 

Also the results for the Hall coefficients in Fig. 4 reproduce very well the experimental behavior [29,30], The anomalous temperature dependence of the nH is due to the growing role of in its determination with increasing T, being dominantly determined by at T = 0. 

As was discussed above, the absence of a kink in the nodal band below Ev [11] in NCCO, supports the possibility that it is also a real n-type cuprate. It is possible that the change in the sign of the TEP slope in NCCO with doping is an anomalous band-structure effect, probably associated with the peculiar evolution of its FS with doping, detected in ARPES [34], The position of the kink (below or above /q.) is determined by the inequality (11) between dq+ and d L, which is less susceptible to band-structure effects than the inequality (11) between bq+ and bq, determining the sign of the TEP slope. Anomalous behavior is observed also in the Hall constant of NCCO [32], which changes... 

The electrical resistivity of Na W03, Li WOs, and K WOg has been measured at 300° K. The range of x values was 0.25 < x < 0.9. All resistivities were characteristic of a metal and lie on a single curve. Extrapolation of the conductivity curve to zero conductivity indicated that the tungsten bronzes should be semiconductors for x < 0.25. The resistivities measured for tungsten bronzes with x < 0.25 showed semiconducting behavior. The resistivity of Li WOg exhibited an anomalous peak in the p vs. T curve. The Hall coefficient of Li0 37WO3 indicated one free electron per alkali atom, as previously found for Na WOg. The Seebeck coefficient of Na WOg depended linearly on x 2/3, as expected from free electron theory. The implications of these and other data are discussed. 

The final transport measurement to be considered is the Hall effect. This is the most intriguing transport property, but has been so difiicult to imderstand that it has not contributed much towards the elucidation of the conduction mechanisms. The reason is that the Hall effect is anomalous and has the opposite sign from that which is normally expected. Thus holes give a negative Hall voltage and... 

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