Flat band analogues and flux driven extended electronic states in a class of geometrically frustrated fractal networks

Atanu Nandy, Biplab Pal, Arunava Chakrabarti

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

We demonstrate, by explicit construction, that a single band tight binding Hamiltonian defined on a class of deterministic fractals of the b = 3N Sierpinski type can give rise to an infinity of dispersionless, flat-band like states which can be worked out analytically using the scale invariance of the underlying lattice. The states are localized over clusters of increasing sizes, displaying the existence of a multitude of localization areas. The onset of localization can, in principle, be 'delayed' in space by an appropriate choice of the energy of the electron. A uniform magnetic field threading the elementary plaquettes of the network is shown to destroy this staggered localization and generate absolutely continuous sub-bands in the energy spectrum of these non-translationally invariant networks.

Original languageEnglish
Article number125501
JournalJournal of Physics Condensed Matter
Volume27
Issue number12
DOIs
StatePublished - 1 Apr 2015
Externally publishedYes

Keywords

  • extended electronic states
  • flat bands
  • flux driven transition
  • geometrically frustrated fractal networks
  • localization

ASJC Scopus subject areas

  • Materials Science (all)
  • Condensed Matter Physics

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