Consequences of a possible adiabatic transition between \nu=1/3 and   \nu=1 quantum Hall states in a narrow wire
  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. 
Dmitri B. Chklovskii and Bertrand I. Halperin