Corrections to the self-consistent Born approximation for Weyl fermions

Abstract

The average density of states of two- and three-dimensional Weyl fermions is studied 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 that an expansion in terms of the disorder strength is not applicable, as previously mentioned by other authors. Nevertheless, the 1/N expansion provides a justification of the SCBA as the large N limit of Weyl fermions.

12 pages, 4 figures, Phys. Rev. B (2017)

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Cited by in corpus (6)

• Rare regions and avoided quantum criticality in disordered Weyl semimetals and superconductors
• From weak to strong disorder in Weyl semimetals: Self-consistent Born approximation
• Short note on the density of states in 3D Weyl semimetals
• Fermi arcs and surface criticality in dirty Dirac materials
• The emergence of net chirality in two-dimensional Dirac fermions system with altermagnetic mass
• Fate of superconductivity in disordered Dirac and semi-Dirac semimetals