Quasi-ballistic scattering in quantum point contact systems

Anna Grincwajg, G. Edwards, D. K. Ferry

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

Two scattering models are investigated in quasi-ballistic quantum point contact systems; a model with a few point scattering centres versus the Anderson model with on-site disorder. An exact, recursive Green's function technique is used to obtain magneto-transport quantities such as the conductance fluctuation amplitude and the correlation function. In the quasi-ballistic regime, the two models are not equivalent. The Anderson model can reproduce the same fluctuation amplitude as the 'few-scatterer' model, but fails to reproduce the correlation filed. When the number of impurities in the 'few-scatterer' case is increased towards the diffusive regime, the two models agree well both on the fluctuation amplitude and correlation field. Further, we find that the correlation field in the Anderson model depends dramatically on disorder strength, when moving from the ballistic to the diffusive regime. The importance of the impurity positions in the 'few-scatterer' model is also investigated.

Original languageEnglish (US)
Pages (from-to)673-684
Number of pages12
JournalJournal of Physics Condensed Matter
Volume9
Issue number3
DOIs
StatePublished - Jan 20 1997

Fingerprint

Point contacts
Ballistics
ballistics
electric contacts
Scattering
scattering
disorders
Impurities
Recursive functions
recursive functions
impurities
Green's function
Green's functions

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Quasi-ballistic scattering in quantum point contact systems. / Grincwajg, Anna; Edwards, G.; Ferry, D. K.

In: Journal of Physics Condensed Matter, Vol. 9, No. 3, 20.01.1997, p. 673-684.

Research output: Contribution to journalArticle

Grincwajg, Anna ; Edwards, G. ; Ferry, D. K. / Quasi-ballistic scattering in quantum point contact systems. In: Journal of Physics Condensed Matter. 1997 ; Vol. 9, No. 3. pp. 673-684.
@article{d14dd694adde4437aa66d4140930e9b8,
title = "Quasi-ballistic scattering in quantum point contact systems",
abstract = "Two scattering models are investigated in quasi-ballistic quantum point contact systems; a model with a few point scattering centres versus the Anderson model with on-site disorder. An exact, recursive Green's function technique is used to obtain magneto-transport quantities such as the conductance fluctuation amplitude and the correlation function. In the quasi-ballistic regime, the two models are not equivalent. The Anderson model can reproduce the same fluctuation amplitude as the 'few-scatterer' model, but fails to reproduce the correlation filed. When the number of impurities in the 'few-scatterer' case is increased towards the diffusive regime, the two models agree well both on the fluctuation amplitude and correlation field. Further, we find that the correlation field in the Anderson model depends dramatically on disorder strength, when moving from the ballistic to the diffusive regime. The importance of the impurity positions in the 'few-scatterer' model is also investigated.",
author = "Anna Grincwajg and G. Edwards and Ferry, {D. K.}",
year = "1997",
month = "1",
day = "20",
doi = "10.1088/0953-8984/9/3/007",
language = "English (US)",
volume = "9",
pages = "673--684",
journal = "Journal of Physics Condensed Matter",
issn = "0953-8984",
publisher = "IOP Publishing Ltd.",
number = "3",

}

TY - JOUR

T1 - Quasi-ballistic scattering in quantum point contact systems

AU - Grincwajg, Anna

AU - Edwards, G.

AU - Ferry, D. K.

PY - 1997/1/20

Y1 - 1997/1/20

N2 - Two scattering models are investigated in quasi-ballistic quantum point contact systems; a model with a few point scattering centres versus the Anderson model with on-site disorder. An exact, recursive Green's function technique is used to obtain magneto-transport quantities such as the conductance fluctuation amplitude and the correlation function. In the quasi-ballistic regime, the two models are not equivalent. The Anderson model can reproduce the same fluctuation amplitude as the 'few-scatterer' model, but fails to reproduce the correlation filed. When the number of impurities in the 'few-scatterer' case is increased towards the diffusive regime, the two models agree well both on the fluctuation amplitude and correlation field. Further, we find that the correlation field in the Anderson model depends dramatically on disorder strength, when moving from the ballistic to the diffusive regime. The importance of the impurity positions in the 'few-scatterer' model is also investigated.

AB - Two scattering models are investigated in quasi-ballistic quantum point contact systems; a model with a few point scattering centres versus the Anderson model with on-site disorder. An exact, recursive Green's function technique is used to obtain magneto-transport quantities such as the conductance fluctuation amplitude and the correlation function. In the quasi-ballistic regime, the two models are not equivalent. The Anderson model can reproduce the same fluctuation amplitude as the 'few-scatterer' model, but fails to reproduce the correlation filed. When the number of impurities in the 'few-scatterer' case is increased towards the diffusive regime, the two models agree well both on the fluctuation amplitude and correlation field. Further, we find that the correlation field in the Anderson model depends dramatically on disorder strength, when moving from the ballistic to the diffusive regime. The importance of the impurity positions in the 'few-scatterer' model is also investigated.

UR - http://www.scopus.com/inward/record.url?scp=0346024023&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0346024023&partnerID=8YFLogxK

U2 - 10.1088/0953-8984/9/3/007

DO - 10.1088/0953-8984/9/3/007

M3 - Article

AN - SCOPUS:0346024023

VL - 9

SP - 673

EP - 684

JO - Journal of Physics Condensed Matter

JF - Journal of Physics Condensed Matter

SN - 0953-8984

IS - 3

ER -