Exotic electron states and tunable magneto-transport in a fractal Aharonov-Bohm interferometer
arXiv:1407.5737 · doi:10.1016/j.physleta.2014.09.012
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.
8 pages, 8 figures
References in corpus (10)
- Electrical control of a solid-state flying qubit
- Aharonov-Bohm electron interferometer in the integer quantum Hall regime
- Rashba effect induced localization in quantum networks
- Exact many-electron ground states on the diamond Hubbard chain
- Electron transport through Aharonov-Bohm interferometer with laterally coupled double quantum dots
- Tunable dynamical channel blockade in double-dot Aharonov-Bohm interferometers
- Localization properties of a tight-binding electronic model on the Apollonian network
- Flux induced semiconducting behavior of a quantum network
- Staggered and extreme localization of electron states in fractal space
- Features in Evanescent Aharonov-Bohm interferometry