Stability of Weyl semimetals with quasiperiodic disorder

Abstract

Weyl semimetals are phases of matter with excitations effectively described by massless Dirac fermions. Their critical nature makes unclear the persistence of such phase in presence of disorder. We present a theorem ensuring the stability of the semimetallic phase in presence of weak quasiperiodic disorder. The proof relies on the subtle interplay of the relativistic Quantum Field Theory description combined with number theoretical properties used in KAM theory.

7 pages, 3 figures

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• Transport properties across the many-body localization transition in quasiperiodic and random systems
• Effective field theory of the disordered Weyl semimetal
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Cited by in corpus (9)

• Rare regions and avoided quantum criticality in disordered Weyl semimetals and superconductors
• Weyl points on non-orientable manifolds
• Quasicrystalline Weyl points and dense Fermi-Bragg arcs
• Weyl superconductivity and quasiperiodic Majorana arcs in quasicrystals
• Critical Filaments and Superconductivity in Quasiperiodic Twisted Bilayer Graphene
• Connecting the avoided quantum critical point to the magic-angle transition in three-dimensional Weyl semimetals
• Universality in the 2d quasi-periodic Ising model and Harris-Luck irrelevance
• Vanishing of Drude weight in interacting fermions on Zd with quasi-periodic disorder
• Incommensurate Twisted Bilayer Graphene: emerging quasi-periodicity and stability