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Characteristic potentials for mesoscopic rings threaded by an Aharonov-Bohm flux

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Published in Physica scripta. 1994, vol. 54, p. 104-110
Abstract Electro-static potentials for samples with the topology of a ring and penetrated by an Aharonov-Bohm flux are discussed. The sensitivity of the electron-density distribution to small variations in the flux generates an effective electro-static potential which is itself a periodic function of flux. We investigate a simple model in which the flux sensitive potential leads to a persistent current which is enhanced compared to that of a loop of non-interacting electrons. For sample geometries with contacts the sensitivity of the electro-static potential to flux leads to a flux-induced capacitance. This capacitance gives the variation in charge due to an increment in flux. The flux-induced capacitance is contrasted with the electro-chemical capacitance which gives the variation in charge due to an increment in an electro-chemical potential. The discussion is formulated in terms of characteristic functions which give the variation of the electro-static potential in the interior of the conductor due to an increment in the external control parameters (flux, electro-chemical potentials).
Keywords Condensed matter
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BUTTIKER, Markus. Characteristic potentials for mesoscopic rings threaded by an Aharonov-Bohm flux. In: Physica scripta, 1994, vol. 54, p. 104-110. https://archive-ouverte.unige.ch/unige:4225

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Deposited on : 2009-11-30

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