Abstract

Type II superconducting films have been prepared on top of the two-dimensional electron gas (2DEG) in a GaAs/AlGaAs heterostructure. In an applied magnetic field the inhomogeneous flux distribution at the superconductor is projected down onto the electron gas. At low applied fields the distribution at the 2DEG takes the form of flux tubes which are much narrower than an electron inelastic scattering length. In this regime we observe a qualitatively new weak localization magnetoconductivity proportional to |B| in contrast to the B2 homogeneous result and in semi-quantitative agreement with the theory of Rammer et al.1 We further demonstrate that the 2DEG can be used as a probe of the spatial distribution of an inhomogeneous magnetic field

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