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The average density of states of two- and three-dimensional Weyl fermions isstudied in the self-consistent Born approximation (SCBA) and its corrections.The latter have been organized in terms of a 1/N expansion. It turns out thatan expansion in terms of the disorder strength is not applicable, as previouslymentioned by other authors. Nevertheless, the 1/N expansion provides ajustification of the SCBA as the large N limit of Weyl fermions.

Corrections to the self-consistent Born approximation for Weyl fermions