Statistic properties of Fermi gas in a strong magnetic field

doi:10.1088/1674-1056/19/3/030502

Abstract Based on the thermodynamic potential function of Fermi gas in a strong magnetic field, using the thermodynamics method, the integrated analytical expressions of thermodynamic quantities of the system at low temperatures are derived, and the effects of the magnetic field on the statistic properties of the system are analysed. It is shown that, as long as the temperature is not zero, the effects of the magnetic field on the thermodynamic quantities of the system contain both oscillatory and non-oscillatory parts. For the non-oscillatory part, compared with the situation of Fermi gas in a weak magnetic field, the influence of the magnetic field on the thermodynamic quantities is not exactly the same. For the oscillatory part, the period and amplitude of the oscillation are all related to the magnetic field. Due to the oscillation, the chemical potential may be greater than Ferim energy of the system, but the oscillation does not affect the thermodynamic stability of the system.

Keywords: strong magnetic field Fermi gas statistic property

Received: 09 August 2009
Revised: 23 August 2009
Accepted manuscript online:

PACS:	05.30.Fk	(Fermion systems and electron gas)
	05.70.-a	(Thermodynamics)

Cite this article:

Men Fu-Dian(门福殿) and Fan Zhao-Lan(范召兰) Statistic properties of Fermi gas in a strong magnetic field 2010 Chin. Phys. B 19 030502

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