Herv\'e KUNZ
SURFACE ORBITAL MAGNETISM
(49K, latex)
ABSTRACT. We compute the surface correction to the density of states of a particle in a convex
box, submitted to a magnetic field. Applying these results to orbital magnetism,
we find that at high temperatures or weak magnetic fields the surface
magnetisation is always paramagnetic, but oscillations appear at low
temperatures. In two dimensions they can give very large paramagnetic
contributions near integer values of the filling factor. Explicit formulas are given
for the zero field susceptibility and for samples with a cylindrical shape in
arbitrary magnetic field.