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Vertex corrections for impurity scattering at a ferromagnetic quantum critical point
Physical Review B
We study the renormalization of a non-magnetic impurity's scattering potential due to the presence of a massless collective spin mode at a ferromagnetic quantum critical point. To this end, we compute the lowest order vertex corrections in two- and three-dimensional systems, for arbitrary scattering angle and frequency of the scattered fermions, as well as band curvature. We show that only for backward scattering in D=2 does the lowest order vertex correction diverge logarithmically in the zerodoi:10.1103/physrevb.81.054443 fatcat:nitu2pvyzfdb5jtebppu3npwyq