Line Junctions in the Quantum Hall Effect

Details Line Junctions in the Quantum Hall Effect Line Junctions in the Quantum Hall Effect

1996-09-18

arxiv.org/abs/cond-mat/9609175v1

Physics

Condensed Matter

8 pages REVTeX, 4 postscript figures

Scientific paper

10.1103/PhysRevB.56.15231

A long skinny gate across a fractional quantum Hall fluid at filling $\nu=1/m$ with odd integer $m$, creates a novel one-dimensional (1d) system which is isomorphic to a disordered 1d electron gas with {\it attractive} interactions. By varying the gate potential along such a line junction, it should be possible to tune through the 1d localization transition, predicted for an attractively interacting electron gas. The key signature of this 1d metal-insulator transition is the temperature dependence of the conductivity, which diverges as a power of temperature in the metallic phase, and vanishes rapidly in the insulator. We show that the 1d conductivity can be extracted from a standard Hall transport measurement, in the regime where the Hall conductance is close to its quantized value. A line junction in a $\nu=2/3$ quantized Hall fluid is predicted to exhibit a similar localization transition.

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