The decagonal plane-wave model for 2D and 3D quasicrystals

Renat F Sabirianov, S. K. Bose

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

We examine the free electron model for some rational approximants of 2D quasicrystals and quasi-lattices that exhibit quasiperiodicity in (x, y) planes and periodicity along the z-direction. Our study is based on a scattering potential with ten symmetrically oriented plane-wave components in the (k x, ky) plane for the 2D case, and two additional plane-wave components in directions perpendicular to the plane for the 3D case. We calculate the band structure and the density of states for the rational approximants and examine the formation of a gap or a pseudogap in such systems. The relevance of this study to the stability and electrical conduction property of decagonal quasicrystals is discussed.

Original languageEnglish (US)
Article number019
Pages (from-to)6197-6210
Number of pages14
JournalJournal of Physics: Condensed Matter
Volume6
Issue number31
DOIs
StatePublished - Dec 1 1994

Fingerprint

Quasicrystals
plane waves
Crystal lattices
Band structure
free electrons
periodic variations
Scattering
conduction
Electrons
scattering
Direction compound

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics

Cite this

The decagonal plane-wave model for 2D and 3D quasicrystals. / Sabirianov, Renat F; Bose, S. K.

In: Journal of Physics: Condensed Matter, Vol. 6, No. 31, 019, 01.12.1994, p. 6197-6210.

Research output: Contribution to journalArticle

@article{188b8fda20c44444acb754c6a1baa1f4,
title = "The decagonal plane-wave model for 2D and 3D quasicrystals",
abstract = "We examine the free electron model for some rational approximants of 2D quasicrystals and quasi-lattices that exhibit quasiperiodicity in (x, y) planes and periodicity along the z-direction. Our study is based on a scattering potential with ten symmetrically oriented plane-wave components in the (k x, ky) plane for the 2D case, and two additional plane-wave components in directions perpendicular to the plane for the 3D case. We calculate the band structure and the density of states for the rational approximants and examine the formation of a gap or a pseudogap in such systems. The relevance of this study to the stability and electrical conduction property of decagonal quasicrystals is discussed.",
author = "Sabirianov, {Renat F} and Bose, {S. K.}",
year = "1994",
month = "12",
day = "1",
doi = "10.1088/0953-8984/6/31/019",
language = "English (US)",
volume = "6",
pages = "6197--6210",
journal = "Journal of Physics Condensed Matter",
issn = "0953-8984",
publisher = "IOP Publishing Ltd.",
number = "31",

}

TY - JOUR

T1 - The decagonal plane-wave model for 2D and 3D quasicrystals

AU - Sabirianov, Renat F

AU - Bose, S. K.

PY - 1994/12/1

Y1 - 1994/12/1

N2 - We examine the free electron model for some rational approximants of 2D quasicrystals and quasi-lattices that exhibit quasiperiodicity in (x, y) planes and periodicity along the z-direction. Our study is based on a scattering potential with ten symmetrically oriented plane-wave components in the (k x, ky) plane for the 2D case, and two additional plane-wave components in directions perpendicular to the plane for the 3D case. We calculate the band structure and the density of states for the rational approximants and examine the formation of a gap or a pseudogap in such systems. The relevance of this study to the stability and electrical conduction property of decagonal quasicrystals is discussed.

AB - We examine the free electron model for some rational approximants of 2D quasicrystals and quasi-lattices that exhibit quasiperiodicity in (x, y) planes and periodicity along the z-direction. Our study is based on a scattering potential with ten symmetrically oriented plane-wave components in the (k x, ky) plane for the 2D case, and two additional plane-wave components in directions perpendicular to the plane for the 3D case. We calculate the band structure and the density of states for the rational approximants and examine the formation of a gap or a pseudogap in such systems. The relevance of this study to the stability and electrical conduction property of decagonal quasicrystals is discussed.

UR - http://www.scopus.com/inward/record.url?scp=0028481258&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028481258&partnerID=8YFLogxK

U2 - 10.1088/0953-8984/6/31/019

DO - 10.1088/0953-8984/6/31/019

M3 - Article

VL - 6

SP - 6197

EP - 6210

JO - Journal of Physics Condensed Matter

JF - Journal of Physics Condensed Matter

SN - 0953-8984

IS - 31

M1 - 019

ER -