J. Phys. IV France 10 (2000) Pr5-461-Pr5-464
Path-decomposition expansion and edge effects in a magnetized electron gasL.G. Suttorp
Institute for Theoretical Physics, University of Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam, The Netherlands
The influence of boundaries on the properties of a magnetized free-electron gas is discussed with the help of a path-integral representation for the temperature Green function. By using a suitable decomposition of the paths the profiles of the excess particle density and the current density are analyzed. The asymptotic behaviour of these profiles towards the bulk is found to depend sensitively on the degree of degeneracy.
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