Oscillations in trapped Fermi gases in isotropic potentials

Details Oscillations in trapped Fermi gases in isotropic potentials Oscillations in trapped Fermi gases in isotropic potentials

2003-09-17

arxiv.org/abs/cond-mat/0309399v1

Physics

Condensed Matter

Statistical Mechanics

25 pages in revtex 4 preprint style, 3 eps figures

Scientific paper

We study the thermodynamic properties of an ideal gas of fermions in a harmonic oscillator confining potential. The analogy between this problem and the de Haas-van Alphen effect is discussed and used to obtain analytical results for the chemical potential and specific heat in the case of an isotropic potential. Step-like behaviour in the chemical potential, first noted in numerical studies, is obtained analytically and shown to result in an oscillatory behaviour of the specific heat when the particle number is varied. The origin of these oscillations is that part of the thermodynamic potential responsible for the de Haas-van Alphen effect. At low temperatures we show that there are significant deviations in the specific heat from the expected linear temperature dependence again as a consequence of the de Haas-van Alphen part of the thermodynamic potential. Results are given for one, two, and three spatial dimensions.

Affiliated with

Also associated with

No associations

Rating

Oscillations in trapped Fermi gases in isotropic potentials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Oscillations in trapped Fermi gases in isotropic potentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Oscillations in trapped Fermi gases in isotropic potentials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-137204