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The magnetoconductivity, which is the correction to the diagonal conductivity proportional to the second power of magnetic-field strength, is calculated in bilayer graphene in the presence of scatt...

The magnetoconductivity proportional to B2 with B the strength of applied magnetic field is calculated in monolayer graphene in a self-consistent Born approximation for scatterers with long-range p...

The formula of weak-field magnetoconductivity Δσ(B) proportional to B2, with B the strength of a magnetic field, is derived for systems corresponding to monolayer and bilayer graphenes. It is repre...

Two formulas are obtained for the weak-field Hall conductivity based on different configurations of a magnetic field in the long-wavelength limit: \(\sigma _{xy}^{(x)}\) and \(\sigma _{xy}^{(y)}\) ...

The anomalous magnetoresistance and planar Hall effect of heavily doped n - and p -type germanium have been measured at 4.2°K. The magnetoresistance consists of two components, i.e. , the ordinary and extraordinary components. It turned out that these components satisfy Seitz's formula under the weak field condition, and the upper limit of weak field range is entirely different between them. Some of the character of these components are presented.

In part I, the magnetic after effect of cold rolled iron is studied both by semi-static and dynamic measurements. It is verified that: the static after effect in a weak field and the so called Jordan's constant are not observable in contradiction to Schulze's measurements. But the after effect is observable in the range of irreversible magnetisation. The after effect of iron, annealed after being cold rolled, is also investigated. The after effect in the range of initial permeability becomes observable in a recrystallised state, in agreement with Schulze's results. In addition it is found that the part of loss angles, observed at low frequencies, attributable to the macroscopic eddy currents is larger than the theoretical value. It suggests the existence of a relaxation due to another origin which has not been taken into account in the analysis of loss angles. Hence, in part II, the measurements of apparent permeability at higher frequencies are carried out for the cold rolled iron. The time of relaxation...