TY - GEN

T1 - Absolutely continuous spectrum and ballistic transport in a one-dimensional quasiperiodic system

AU - Pal, Biplab

AU - Chakrabarti, Arunava

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

KW - Ballistic transport

KW - Quasiperiodic system

KW - Tight binding model

UR - http://www.scopus.com/inward/record.url?scp=84874873435&partnerID=8YFLogxK

U2 - 10.1063/1.4791361

DO - 10.1063/1.4791361

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AN - SCOPUS:84874873435

SN - 9780735411333

T3 - AIP Conference Proceedings

SP - 962

EP - 963

BT - Solid State Physics - Proceedings of the 57th DAE Solid State Physics Symposium 2012

T2 - 57th DAE Solid State Physics Symposium 2012

Y2 - 3 December 2012 through 7 December 2012

ER -