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

Michel Carreau·Jorge V. José
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Abstract

We present results from a quantum and semiclassical theoretical study of the $ρ_{xy}$ and $ρ_{xx}$ resistivities of a high mobility 2-D electron gas in the presence of a dilute random distribution of tubes with magnetic flux $Φ$ and radius $R$, for arbitrary values of $k_f R$ and $F=eΦ/h$. We report on novel Aharonov-Bohm type oscillations in $ρ_{xy}$ and $ρ_{xx}$, 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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Michel Carreau, Jorge V. José. 1994-04-19. Novel A-B type oscillations in a 2-D electron gas in inhomogenous magnetic fields. https://doi.org/10.1088/0305-4470%2F27%2F13%2F005

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