A chirally symmetric quasiperiodic hopping model on a square lattice shows a semimetal-to-metal 'magic-angle' transition and, at maximal hopping, a disorder-free diverging density of states with Chalker scaling.
Stability of Weyl semimetals with quasiperiodic disorder
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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.
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Magic-Angle Semimetals with Chiral Symmetry
A chirally symmetric quasiperiodic hopping model on a square lattice shows a semimetal-to-metal 'magic-angle' transition and, at maximal hopping, a disorder-free diverging density of states with Chalker scaling.