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We have investigated some of the properties of dense sub-nuclear matter atthe crustal region (both the outer crust and the inner crust region) of amagnetar. The relativistic version of Thomas-Fermi (TF) model is used inpresence of strong quantizing magnetic field for the outer crust matter. Thecompressed matter in the outer crust, which is a crystal of metallic iron, isreplaced by a regular array of spherically symmetric Wigner-Seitz (WS) cells.In the inner crust region, a mixture of iron and heavier neutron rich nucleialong with electrons and free neutrons has been considered. ConventionalHarrison-Wheeler (HW) and Bethe-Baym-Pethick (BBP) equation of states are usedfor the nuclear mass formula. A lot of significant changes in thecharacteristic properties of dense crustal matter, both at the outer crust andthe inner crust, have been observed.

A Theoretical Study of the Equation of States for Crustal Matter of Strongly Magnetized Neutron Stars