Ideal two-dimensional electron gas in a magnetic field and at non-zero temperatures : an alternative approach

• Main Authors: Wang, Lipo., O'Connell, R. F.
• Other Authors: School of Electrical and Electronic Engineering
• Format: Article
• Language: English
• Published: 2012
• Subjects: DRNTU::Engineering::Electrical and electronic engineering
• Online Access: https://hdl.handle.net/10356/99923; http://hdl.handle.net/10220/8130
• Institution: Nanyang Technological University

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.