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Exotic electron states and tunable magneto-transport in a fractal Aharonov–Bohm interferometer.

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Title: Exotic electron states and tunable magneto-transport in a fractal Aharonov–Bohm interferometer.
Authors: Nandy, Atanu1 atanunandy1989@gmail.com, Pal, Biplab1 biplabpal@klyuniv.ac.in, Chakrabarti, Arunava1 arunava_chakrabarti@yahoo.co.in
Source: Physics Letters A. Aug2014, Vol. 378 Issue 42, p3144-3150. 7p.
Subjects: Electrons, Magnetic transitions, Fractals, Aharonov-Bohm effect, Interferometers, Electronic spectra
Abstract: A Sierpinski gasket fractal network model is studied in respect of its electronic spectrum and magneto-transport when each ‘arm’ of the gasket is replaced by a diamond shaped Aharonov–Bohm interferometer, threaded by a uniform magnetic flux. Within the framework of a tight binding model for non-interacting, spinless electrons and a real space renormalization group method we unravel a class of extended and localized electronic states. In particular, we demonstrate the existence of extreme localization of electronic states at a special finite set of energy eigenvalues, and an infinite set of energy eigenvalues where the localization gets ‘delayed’ in space ( staggered localization ). These eigenstates exhibit a multitude of localization areas . The two terminal transmission coefficient and its dependence on the magnetic flux threading each basic Aharonov–Bohm interferometer is studied in details. Sharp switch on – switch off effects that can be tuned by controlling the flux from outside, are discussed. Our results are analytically exact. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
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Abstract:A Sierpinski gasket fractal network model is studied in respect of its electronic spectrum and magneto-transport when each ‘arm’ of the gasket is replaced by a diamond shaped Aharonov–Bohm interferometer, threaded by a uniform magnetic flux. Within the framework of a tight binding model for non-interacting, spinless electrons and a real space renormalization group method we unravel a class of extended and localized electronic states. In particular, we demonstrate the existence of extreme localization of electronic states at a special finite set of energy eigenvalues, and an infinite set of energy eigenvalues where the localization gets ‘delayed’ in space ( staggered localization ). These eigenstates exhibit a multitude of localization areas . The two terminal transmission coefficient and its dependence on the magnetic flux threading each basic Aharonov–Bohm interferometer is studied in details. Sharp switch on – switch off effects that can be tuned by controlling the flux from outside, are discussed. Our results are analytically exact. [ABSTRACT FROM AUTHOR]
ISSN:03759601
DOI:10.1016/j.physleta.2014.09.012