Charge and current density profiles of a degenerate magnetized free-electron gas near a hard wall

The charge and current densities of a completely degenerate free-electron gas in a uniform magnetic field are found to have a damped oscillatory spatial dependence near a wall that is parallel to the magnetic field. For large distances from the wall the behaviour of the associated profile functions is analysed by means of systematic asymptotic expansions. Both densities are shown to decay to their bulk values through a Gaussian tail, with prefactors that depend algebraically and logarithmically on the distance from the wall. (author)