Consequences of a possible adiabatic transition between ν=1/3 and ν=1 quantum Hall states in a narrow wire

Details Consequences of a possible adiabatic transition between ν=1/3 and ν=1 quantum Hall states in a narrow wire Consequences of a possible adiabatic transition between ν=1/3 and ν=1 quantum Hall states in a narrow wire

1996-12-13

arxiv.org/abs/cond-mat/9612127v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages RevTex, includes 2 eps figures, Submitted to Phys. Rev. Lett

Scientific paper

We consider the possibility of creating an adiabatic transition through a narrow neck, or point contact, between two different quantized Hall states that have the same number of edge modes, such as \nu=1 and \nu=1/3. We apply both the composite fermion and the Luttinger liquid formalism to analyze the transition. We suggest that using such adiabatic junctions one could build a DC step-up transformer, where the output voltage is higher than the input. Difficulties standing in the way of an experimental implementation of the adiabatic junction are addressed.

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