Spin-flip and domain wall magnetoresistance in quantum magnetic nanocontacts

Ballistic transport through a semiconducting magnetic nanocontact in the presence of Rashba and Dresselhaus spin–orbit interactions

“…However, this relaxation takes place only in the case of an abrupt spatial change of the magnetization, namely a length smaller or equal to the spin diffusion length. In the case of a smooth magnetization change, the polarization axis of the conduction electrons may follow the local magnetic moments adiabatically, but for sharp domain walls, k F d ( 1 (k F is the Fermi wavevector and d is the domain wall thickness), the adiabaticity does not take place and huge magnetoresistance (MR) may occur [6].…”