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.

arXiv comment7 pages, 3 figures

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• Weyl points on non-orientable manifolds
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• A supersymmetric hierarchical model for weakly disordered $3d$ semimetals
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