  A simple model of chiral asymmetry is proposed to interpret the origin of the
strong toroidal magnetic field. The electrons relevant to dynamics forming the
the field are in a quantume degenerate state with ultra-relativistic Fermi
energy. The system is described by Dirac Hartree Fock method using scaled h-bar
method. Neutron stars are rotating and have large angular momentum which is
formed by cranking model and breaks time reversal. Dirac current is decomposed
into convection and spin currents due to Clifford number. The strong toroidal
magnetic field is formed by the spin like current resulted by the chiral
asymmetry brought about electron capture caused by the parity-violating weak
interaction.
