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The self-consistent Born approximation quantitatively fails to capturedisorder effects in semimetals. We present an alternative, simple-to-usenon-perturbative approach to calculate the disorder induced self-energy. Itrequires a sufficient broadening of the quasiparticle pole and the solution ofa differential equation on the imaginary frequency axis. We demonstrate theperformance of our method for various paradigmatic semimetal Hamiltonians andcompare our results to exact numerical reference data. For intermediate andstrong disorder, our approach yields quantitatively correct momentum resolvedresults. It is thus complementary to existing RG treatments of weak disorder insemimetals.

Strong disorder in nodal semimetals: Schwinger-Dyson--Ward approach