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.
|Number of pages||7|
|Journal||Physics Letters, Section A: General, Atomic and Solid State Physics|
|State||Published - 28 Aug 2014|
- Aharonov-Bohm interferometer
- Staggered localization
ASJC Scopus subject areas
- Physics and Astronomy (all)