Title

Ideal Two‐Dimensional Electron Gas in a Magnetic Field and at Non‐Zero Temperatures. An Alternative Approach

Document Type

Article

Publication Date

1-1-1989

Abstract

A new exact expression is derived for the free energy of an ideal two‐dimensional electron gas (2DEG) in a uniform magnetic field and at low, but finite, temperatures. The approach eliminates a 2D‐peculiarity that neither the weak nor the strong magnetic field limit can be easily taken in the result derived from the standard Sondheimer‐Wilson treatment. In the strong magnetic field limit, the result reduces to an existing one, for which a misunderstanding needs to be clarified. In the weak field limit, it agrees with a result obtainable through Euler's summation formula. The conditions are discussed under which the nondegenerate situation may occur. Copyright © 1989 WILEY‐VCH Verlag GmbH & Co. KGaA

Publication Source (Journal or Book title)

physica status solidi (b)

First Page

343

Last Page

359

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