Fermi arcs and surface criticality in dirty Dirac materials

Abstract

We study the effects of disorder on semi-infinite Weyl and Dirac semimetals where the presence of a boundary leads to the formation of either Fermi arcs/rays or Dirac surface states. Using a local version of the self-consistent Born approximation, we calculate the profile of the local density of states and the surface group velocity. This allows us to explore the full phase diagram as a function of boundary conditions and disorder strength. While in all cases we recover the sharp criticality in the bulk, we unveil a critical behavior at the surface of Dirac semimetals, which is smoothed out by Fermi arcs in Weyl semimetals.

arXiv comment5 pages, 5 figures, supplemental material

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Cited by in corpus (9)

• Rare regions and avoided quantum criticality in disordered Weyl semimetals and superconductors
• Anomalous Transport Signatures in Weyl Semimetals with Point Defects
• Studying the holographic Fermi surface in the scalar induced anisotropic background
• Surface quantum critical phenomena in disordered Dirac semimetals
• Delocalization of topological surface states by diagonal disorder in nodal loop semimetals
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