Anderson Localization in 3-Dimensional Amorphous Alloys: Evolution with the Content of Magnetic Ions
In a disordered system conduction electrons have a diffusive motion due to the random scattering from atoms. These collisions are predominantly elastic and then the electron wave functions retain their phase for long distances. It is therefore possible that two partial electrons waves, starting from one point and experiencing scattering in a time reversed sequence with respect to each other, get back to their origin and interfere constructively. This coherent backscattering of electron waves through closed paths leads to the existence of quantum corrections to the transport coefficients, in particular to the resistivity, which increases due to these mechanisms1,2. In an amorphous metal with typical resistivities up to a few hundred μΩcm, these corrections are small and can be treated theoretically as a perturbation to the classical transport problem. We then have the phenomenon of weak localization. General expressions for the magnetoresistance including all the contributions can be found in refs 1 and 3.
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