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

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

1994-04-19

arxiv.org/abs/cond-mat/9404057v1

Physics

Condensed Matter

11 pages REVTEX

Scientific paper

10.1088/0305-4470/27/13/005

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 ${(k_fR)}^2=4F(n+{1\over 2})$, with $n$ an integer. We discuss possible experimental conditions where these oscillations may be observed.

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