The ballistic magnetoresistance of a geometrically confined 180◦ head-to-head domain wall at a magnetic
point contact in a two-dimensional (2D) metallic nanowire
is studied theoretically using the multichannel LandauerButtiker formalism. The analysis is based on coherent ¨
scattering of the carriers by the spin-dependent potential
associated with the wall structure. The transmission properties of coherent states are obtained by introducing a new
algorithm to solve the coupled spin channels Schrodinger ¨
equations with mixed Dirichlet-Neumann boundary conditions applied far from the domain wall. The conductance
and thermally averaged magnetoresistance of the domain
wall are computed to evaluate the performance of the proposed algorithm. As expected, an oscillatory behavior with
successively decreasing extrema is achieved in the magnetoresistance by increasing the domain wall width.