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.