Spin-flip scattering of a half spin particle by a magnetic impurity in one dimension

In this article, the behavior of a half spin particle is studied. Specifically an electron with mass me, when passing through a magnetic field with fixed strength Bo is examined. A magnetic impurity is considered as a scatterer of a half spin particle in one dimension. This corresponds for example to a defect in the local magnetic structure inducing a magnetic field, e.g. as a result of strong spin-orbit coupling. From this set-up, the spin-flipping scattering processes are observed. Different profiles of Spin-Flip-Rate (SFR) against frequencies ω and amplitudes U are drawn respectively, for angle φ0=0, θ=π2 and different values of, μBB0, and radius R.