Correlations in a confined magnetized free-electron gas

Details Correlations in a confined magnetized free-electron gas Correlations in a confined magnetized free-electron gas

2001-05-30

arxiv.org/abs/cond-mat/0105588v1

Physics

Condensed Matter

Statistical Mechanics

24 pages, 10 figures, submitted to J. Phys. A: Math. Gen

Scientific paper

10.1088/0305-4470/34/39/306

Equilibrium quantum statistical methods are used to study the pair correlation function for a magnetized free-electron gas in the presence of a hard wall that is parallel to the field. With the help of a path-integral technique and a Green function representation the modifications in the correlation function caused by the wall are determined both for a non-degenerate and for a completely degenerate gas. In the latter case the asymptotic behaviour of the correlation function for large position differences in the direction parallel to the wall and perpendicular to the field, is found to change from Gaussian in the bulk to algebraic near the wall.

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