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

Dmitri B. Chklovskii·Bertrand I. Halperin
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Abstract

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 ν=1 and ν=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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Dmitri B. Chklovskii, Bertrand I. Halperin. 1996-12-13. Consequences of a possible adiabatic transition between ν=1/3 and ν=1 quantum Hall states in a narrow wire. https://doi.org/10.1016/s1386-9477(97)00016-7

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