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A Coulomb impurity placed in an undoped Weyl semimetal spontaneouslysurrounds itself with a cloud of condensed Weyl fermions. We study this systemwithin the Thomas-Fermi approximation. We find that the ground-state of thesystem is electrically neutral and exhibits an experimentally accessible Landauzero-charge effect: the impurity charge is screened out at any finite distancein the limit of vanishing impurity size. Specifically, we show how in thislimit the Thomas-Fermi equation for the electrostatic potential transforms intothe Gell-Mann-Low equation for the charge.

Fermion condensation around a Coulomb impurity in a Weyl semimetal as a manifestation of the Landau zero-charge problem