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

Atanu Nandy, Biplab Pal, Arunava Chakrabarti

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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.

Original languageEnglish
Pages (from-to)3144-3150
Number of pages7
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number42
StatePublished - 28 Aug 2014
Externally publishedYes


  • Aharonov-Bohm interferometer
  • Magneto-transport
  • Staggered localization

ASJC Scopus subject areas

  • Physics and Astronomy (all)


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