### 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 language | English (US) |
---|---|

Pages (from-to) | 1444-1452 |

Number of pages | 9 |

Journal | Physical Review B |

Volume | 47 |

Issue number | 3 |

DOIs | |

State | Published - 1993 |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

*Physical Review B*,

*47*(3), 1444-1452. https://doi.org/10.1103/PhysRevB.47.1444

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

Research output: Contribution to journal › Article

*Physical Review B*, vol. 47, no. 3, pp. 1444-1452. https://doi.org/10.1103/PhysRevB.47.1444

}

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 -