Disorder in Weyl semimetals and superconductors is surprisingly subtle, attracting attention
and competing theories in recent years. In this brief review, we discuss the current …

It is commonly believed that a noninteracting disordered electronic system can undergo only
the Anderson metal-insulator transition. It has been suggested, however, that a broad class …

Pursuing complementary field-theoretic and numerical methods, we here paint the global
phase diagram of a three-dimensional dirty Weyl system. The generalized Harris criterion …

We explore the stability of three-dimensional Weyl and Dirac semimetals subject to
quasiperiodic potentials. We present numerical evidence that the semimetal is stable for …

The Brillouin zone of the clean Weyl semimetal contains points at which the density of states
(DOS) vanishes. Previous work suggested that below a certain critical concentration of …

We construct and solve a two-dimensional, chirally symmetric model of Dirac cones
subjected to a quasiperiodic modulation. In real space, this is realized with a quasiperiodic …

We theoretically study the topological robustness of the surface physics induced by Weyl
Fermi-arc surface states in the presence of short-ranged quenched disorder and surface …

We theoretically study the interplay of short-range random and quasiperiodic static
potentials on the low-energy properties of three-dimensional Weyl semimetals. This setting …

We analyze theoretically the conductivity of Weyl semimetals within the self-consistent Born
approximation (SCBA) in the full range of disorder strength, from weak to strong disorder. In …

We reconsider the phase diagram of a three-dimensional Z 2 topological insulator in the
presence of short-ranged potential disorder, with the insight that nonperturbative rare states …