  In this work we find that the at the high polar magnetic fields of magnetars,
$B \sim 10^{14-15}$ G, the outermost crust ($\rho < 10^7$ gm/cc) of the star
can become a transverse insulator and a filamentary crystal along the field
direction. Also, the transverse conductivity in the crust goes inversely as the
square of polar magnetic field (as $1/B^2$). At these high fields the
transverse crustal currents associated with the polar magnetic field can then
dissipate more effectively via Ohm's law.

High Energy Astrophysical Phenomena