Phys. Rev. B 57, 3781–3784 (1998)Consequences of a possible adiabatic transition between ν=1/3 and ν=1 quantum Hall states in a narrow wireReceived 17 December 1996; published in the issue dated 15 February 1998 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 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. © 1998 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.57.3781
DOI:
10.1103/PhysRevB.57.3781
PACS:
73.40.Hm, 71.10.Pm, 72.15.Nj
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