Novel A-B type oscillations in a 2-D electron gas in inhomogenous magnetic fields

Abstract

We present results from a quantum and semiclassical theoretical study of the ${\rho }_{xy}$ and ${\rho }_{xx}$ resistivities of a high mobility 2-D electron gas in the presence of a dilute random distribution of tubes with magnetic flux $\Phi$ and radius $R$, for arbitrary values of $k_{f}R$ and $F=e\Phi /h$. We report on novel Aharonov-Bohm type oscillations in ${\rho }_{xy}$ and ${\rho }_{xx}$, related to degenerate quantum flux tube resonances, that satisfy the selection rule ${(k_{f}R)}^2=4F(n+\frac{1}{2})$, with $n$ an integer. We discuss possible experimental conditions where these oscillations may be observed.

11 pages REVTEX