The Static Skin Effect in Bismuth. II. Field Dependence of the Transverse Magneto-Resistance

Abstract

It was proved in the preceding paper (the part I) on the study of the transverse magneto-resistance of bismuth at 1.5 K that the surface current exists and this current is mainly due to the static skin effect. On the field dependence of the non-oscillatory part of magneto-resistance, the original theory of the static skin effect predicts the linear dependence, while the observed exponent of the field dependence was about 0.75 above 3 kOe. This discrepancy has been explained by considering the additive surface current which enters as a result of the gradient of carrier concentration near the surface. The gradient of carrier concentration was ascertained by the measurement of local conductivity.