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We study quantum coherence of elastically scattered lattice fermions. Wecalculate vertex corrections to the electrical conductivity of electronsscattered either on thermally equilibrated or statically distributed randomimpurities. We demonstrate that the sign of the vertex corrections to the Drudeconductivity is in both cases negative. Quantum coherence due to elasticback-scatterings always leads to diminution of diffusion.

Universality of vertex corrections to the electrical conductivity in models with elastically scattered electrons