  The surface magnetic field strength of millisecond pulsars (MSPs) is found to
be about 4 orders of magnitude lower than that of garden variety radio pulsars
(with a spin of $\sim 0.5-5$ s and $B\sim 10^{12}$G). The exact mechanism of
the apparent reduction of field strength in MSPs is still a subject of debate.
One of the proposed mechanisms is burial of the surface magnetic field under
matter accreted from a companion. In this article we review the recent work on
magnetic confinement of accreted matter on neutron stars poles. We present the
solutions of the magneto-static equations with a more accurate equation of
state of the magnetically confined plasma and discuss its implications for the
field burial mechanism.
