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 throug h a narrow neck, or point contact, between two different quantized Hal l states that have the same number of edge modes, such as nu = 1 and n u = 1/3. We apply both the composite-fermion and Luttinger-liquid form alism to analyze the transition. We suggest that using such adiabatic junctions one could build a de step-up transformer, where the output v oltage is higher than the input. Difficulties standing in the way of a n experimental implementation of the adiabatic junction are addressed. [S0163-1829(98)02104-3].