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Exotic electron states and tunable magneto-transport in a fractal Aharonov-Bohm interferometer
- Source :
- Physics Letters A, Volume 378, Issue 42, Page 3144 (2014)
- Publication Year :
- 2014
-
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.<br />Comment: 8 pages, 8 figures
Details
- Database :
- arXiv
- Journal :
- Physics Letters A, Volume 378, Issue 42, Page 3144 (2014)
- Publication Type :
- Report
- Accession number :
- edsarx.1407.5737
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.physleta.2014.09.012