Absolutely continuous spectrum and ballistic transport in a one-dimensional quasiperiodic system

Biplab Pal*, Arunava Chakrabarti

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We analyse a quasiperiodic arrangement of four atomic sites sitting at the vertices of a diamond shaped plaquette and single isolated sites, occupying a one dimensional backbone following a Fibonacci quasicrystal pattern. We work within a tight binding formalism. It is shown that, even with this simple deviation from pure one dimension, a definite relation between the numerical values of the system parameters will render all the single particle states completely extended. The spectrum will be absolutely continuous with the transmission completely ballistic throughout the band, completely violating the Cantor set character of the usual Fibonacci quasiperiodic chains.

Original languageEnglish
Title of host publicationSolid State Physics - Proceedings of the 57th DAE Solid State Physics Symposium 2012
Pages962-963
Number of pages2
DOIs
StatePublished - 2013
Externally publishedYes
Event57th DAE Solid State Physics Symposium 2012 - Bombay, Mumbai, India
Duration: 3 Dec 20127 Dec 2012

Publication series

NameAIP Conference Proceedings
Volume1512
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference57th DAE Solid State Physics Symposium 2012
Country/TerritoryIndia
CityBombay, Mumbai
Period3/12/127/12/12

Keywords

  • Ballistic transport
  • Quasiperiodic system
  • Tight binding model

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