Magnetotransport properties of lateral-surface superlattices by molecular-dynamics Monte Carlo simulation

Toshishige Yamada, D. K. Ferry

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The magnetotransport properties of a lateral-surface superlattice, a two-dimensional (2D) electron system in a 2D periodic potential, are studied with use of a Monte Carlo technique, where the effect of the magnetic field is included through a Lorentz force and the interparticle Coulomb interaction is included with a molecular-dynamics method. Excellent numerical energy conservation is achieved by adopting a predictor-corrector algorithm to integrate the equations of motion. The simulation shows that the diffusion constant, as a function of the magnetic field, is not a simple monotone function but has a structure with multiple minima. This structure is attributed to the correlated circular electron motion, and this is reminiscent of classical pinning orbits in a 2D antidot array, even in the presence of the Coulomb interaction. The radial-distribution function shows no significant dependence upon the magnetic field up to ten flux quanta per unit cell.

Original languageEnglish (US)
Pages (from-to)1444-1452
Number of pages9
JournalPhysical Review B
Volume47
Issue number3
DOIs
StatePublished - 1993

Fingerprint

Galvanomagnetic effects
Superlattices
superlattices
Molecular dynamics
Magnetic fields
molecular dynamics
Coulomb interactions
monotone functions
magnetic fields
Lorentz force
Electrons
simulation
energy conservation
radial distribution
Equations of motion
Distribution functions
Energy conservation
equations of motion
Orbits
electrons

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Magnetotransport properties of lateral-surface superlattices by molecular-dynamics Monte Carlo simulation. / Yamada, Toshishige; Ferry, D. K.

In: Physical Review B, Vol. 47, No. 3, 1993, p. 1444-1452.

Research output: Contribution to journalArticle

@article{742b57ebe50b46f280495f501e87a508,
title = "Magnetotransport properties of lateral-surface superlattices by molecular-dynamics Monte Carlo simulation",
abstract = "The magnetotransport properties of a lateral-surface superlattice, a two-dimensional (2D) electron system in a 2D periodic potential, are studied with use of a Monte Carlo technique, where the effect of the magnetic field is included through a Lorentz force and the interparticle Coulomb interaction is included with a molecular-dynamics method. Excellent numerical energy conservation is achieved by adopting a predictor-corrector algorithm to integrate the equations of motion. The simulation shows that the diffusion constant, as a function of the magnetic field, is not a simple monotone function but has a structure with multiple minima. This structure is attributed to the correlated circular electron motion, and this is reminiscent of classical pinning orbits in a 2D antidot array, even in the presence of the Coulomb interaction. The radial-distribution function shows no significant dependence upon the magnetic field up to ten flux quanta per unit cell.",
author = "Toshishige Yamada and Ferry, {D. K.}",
year = "1993",
doi = "10.1103/PhysRevB.47.1444",
language = "English (US)",
volume = "47",
pages = "1444--1452",
journal = "Physical Review B-Condensed Matter",
issn = "0163-1829",
publisher = "American Institute of Physics Publising LLC",
number = "3",

}

TY - JOUR

T1 - Magnetotransport properties of lateral-surface superlattices by molecular-dynamics Monte Carlo simulation

AU - Yamada, Toshishige

AU - Ferry, D. K.

PY - 1993

Y1 - 1993

N2 - The magnetotransport properties of a lateral-surface superlattice, a two-dimensional (2D) electron system in a 2D periodic potential, are studied with use of a Monte Carlo technique, where the effect of the magnetic field is included through a Lorentz force and the interparticle Coulomb interaction is included with a molecular-dynamics method. Excellent numerical energy conservation is achieved by adopting a predictor-corrector algorithm to integrate the equations of motion. The simulation shows that the diffusion constant, as a function of the magnetic field, is not a simple monotone function but has a structure with multiple minima. This structure is attributed to the correlated circular electron motion, and this is reminiscent of classical pinning orbits in a 2D antidot array, even in the presence of the Coulomb interaction. The radial-distribution function shows no significant dependence upon the magnetic field up to ten flux quanta per unit cell.

AB - The magnetotransport properties of a lateral-surface superlattice, a two-dimensional (2D) electron system in a 2D periodic potential, are studied with use of a Monte Carlo technique, where the effect of the magnetic field is included through a Lorentz force and the interparticle Coulomb interaction is included with a molecular-dynamics method. Excellent numerical energy conservation is achieved by adopting a predictor-corrector algorithm to integrate the equations of motion. The simulation shows that the diffusion constant, as a function of the magnetic field, is not a simple monotone function but has a structure with multiple minima. This structure is attributed to the correlated circular electron motion, and this is reminiscent of classical pinning orbits in a 2D antidot array, even in the presence of the Coulomb interaction. The radial-distribution function shows no significant dependence upon the magnetic field up to ten flux quanta per unit cell.

UR - http://www.scopus.com/inward/record.url?scp=0000364909&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000364909&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.47.1444

DO - 10.1103/PhysRevB.47.1444

M3 - Article

VL - 47

SP - 1444

EP - 1452

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 3

ER -