Magnetic field effects in a confined two-dimensional electron gas: A comparison between continuum and lattice model

V. Gudmundsson; R. R. Gerhardts; R. Johnston; L. Schweitzer

doi:10.1007/BF01312119

Magnetic field effects in a confined two-dimensional electron gas: A comparison between continuum and lattice model

V. Gudmundsson^*, R. R. Gerhardts, R. Johnston, L. Schweitzer

^*Corresponding author for this work

Faculty of Physical Sciences

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

Abstract

The equilibrium and transport properties of a two dimensional electron gas in a perpendicular magnetic field are investigated. For the description of this situation, a lattice and a continuum model are proposed. Results for the spectrum, the electron density, the diamagnetic current and the Hall-conductivity, are obtained and compared. The properties of the models are strikingly similar if attention is restricted to the low energy part of the spectrum and only certain values of the magnetic field (in the lattice model) are allowed.

Original language	English
Pages (from-to)	453-460
Number of pages	8
Journal	Zeitschrift für Physik B Condensed Matter
Volume	70
Issue number	4
DOIs	https://doi.org/10.1007/BF01312119
Publication status	Published - Dec 1988

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10.1007/BF01312119

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abstract = "The equilibrium and transport properties of a two dimensional electron gas in a perpendicular magnetic field are investigated. For the description of this situation, a lattice and a continuum model are proposed. Results for the spectrum, the electron density, the diamagnetic current and the Hall-conductivity, are obtained and compared. The properties of the models are strikingly similar if attention is restricted to the low energy part of the spectrum and only certain values of the magnetic field (in the lattice model) are allowed.",

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AU - Johnston, R.

AU - Schweitzer, L.

PY - 1988/12

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N2 - The equilibrium and transport properties of a two dimensional electron gas in a perpendicular magnetic field are investigated. For the description of this situation, a lattice and a continuum model are proposed. Results for the spectrum, the electron density, the diamagnetic current and the Hall-conductivity, are obtained and compared. The properties of the models are strikingly similar if attention is restricted to the low energy part of the spectrum and only certain values of the magnetic field (in the lattice model) are allowed.

AB - The equilibrium and transport properties of a two dimensional electron gas in a perpendicular magnetic field are investigated. For the description of this situation, a lattice and a continuum model are proposed. Results for the spectrum, the electron density, the diamagnetic current and the Hall-conductivity, are obtained and compared. The properties of the models are strikingly similar if attention is restricted to the low energy part of the spectrum and only certain values of the magnetic field (in the lattice model) are allowed.

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Magnetic field effects in a confined two-dimensional electron gas: A comparison between continuum and lattice model

Abstract

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