Anderson Localization Triggered by Spin Disorder---with an Application   to Eu_x Ca_1-x B_6
  The phenomenon of Anderson localization is studied for a class of one-particle Schr\"odinger operators with random Zeeman interactions. These operators arise as follows: Static spins are placed randomly on the sites of a simple cubic lattice according to a site percolation process with density x and coupled to one another ferromagnetically. Scattering of an electron in a conduction band at these spins is described by a random Zeeman interaction term that originates from indirect exchange. It is shown rigorously that, for positive values of x below the percolation threshold, the spectrum of the one-electron Schr\"odinger operator near the band edges is dense pure-point, and the corresponding eigenfunctions are exponentially localized.   Localization near the band edges persists in a weak external magnetic field, H, but disappears gradually, as H is increased. Our results lead us to predict the phenomenon of colossal (negative) magnetoresistance and the existence of a Mott transition, as H and/or x are increased.   Our analysis is motivated directly by experimental results concerning the magnetic alloy Eu_x Ca_1-x B_6. 
Daniel Egli, J\"urg Fr\"ohlich and Hans-Rudolf Ott
cond-mat.dis-nn