Consequences of a possible adiabatic transition between ν=1/3 and ν=1 quantum Hall states in a narrow wire
arXiv:cond-mat/9612127 · doi:10.1016/S1386-9477(97)00016-7
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.
4 pages RevTex, includes 2 eps figures, Submitted to Phys. Rev. Lett