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Line junctions in the quantum Hall effect

Line junctions in the quantum Hall effect

A long narrow gate across a fractional quantum Hall fluid at filling $\ensuremath{\nu}=1/m$ with odd integer $m$, creates a one-dimensional (1D) system that is isomorphic to a disordered 1D electron gas with attractive interactions. By varying the gate potential along such a line junction, it should be possible to tune …