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

Biplab Pal; Arunava Chakrabarti

doi:10.1063/1.4791361

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

Biplab Pal, Arunava Chakrabarti

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-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 language	English
Title of host publication	Solid State Physics - Proceedings of the 57th DAE Solid State Physics Symposium 2012
Pages	962-963
Number of pages	2
DOIs	https://doi.org/10.1063/1.4791361
State	Published - 15 Mar 2013
Externally published	Yes
Event	57th DAE Solid State Physics Symposium 2012 - Bombay, Mumbai, India Duration: 3 Dec 2012 → 7 Dec 2012

Publication series

Name	AIP Conference Proceedings
Volume	1512
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	57th DAE Solid State Physics Symposium 2012
Country/Territory	India
City	Bombay, Mumbai
Period	3/12/12 → 7/12/12

Keywords

Ballistic transport
Quasiperiodic system
Tight binding model

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1063/1.4791361

Cite this

@inproceedings{b282463e33af4b83a3ee99f3af07aed9,

title = "Absolutely continuous spectrum and ballistic transport in a one-dimensional quasiperiodic system",

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.",

keywords = "Ballistic transport, Quasiperiodic system, Tight binding model",

author = "Biplab Pal and Arunava Chakrabarti",

year = "2013",

month = mar,

day = "15",

doi = "10.1063/1.4791361",

language = "English",

isbn = "9780735411333",

series = "AIP Conference Proceedings",

pages = "962--963",

booktitle = "Solid State Physics - Proceedings of the 57th DAE Solid State Physics Symposium 2012",

note = "57th DAE Solid State Physics Symposium 2012 ; Conference date: 03-12-2012 Through 07-12-2012",

}

Pal, B & Chakrabarti, A 2013, Absolutely continuous spectrum and ballistic transport in a one-dimensional quasiperiodic system. in Solid State Physics - Proceedings of the 57th DAE Solid State Physics Symposium 2012. AIP Conference Proceedings, vol. 1512, pp. 962-963, 57th DAE Solid State Physics Symposium 2012, Bombay, Mumbai, India, 3/12/12. https://doi.org/10.1063/1.4791361

Absolutely continuous spectrum and ballistic transport in a one-dimensional quasiperiodic system. / Pal, Biplab; Chakrabarti, Arunava.
Solid State Physics - Proceedings of the 57th DAE Solid State Physics Symposium 2012. 2013. p. 962-963 (AIP Conference Proceedings; Vol. 1512).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

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

AU - Pal, Biplab

AU - Chakrabarti, Arunava

PY - 2013/3/15

Y1 - 2013/3/15

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

M3 - Conference contribution

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 -

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

Abstract

Publication series

Conference

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this