Weyl and Dirac semimetals are three-dimensional phases of matter with gapless electronic
excitations that are protected by topology and symmetry. As three-dimensional analogs of …

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 …

We study the chiral Ising, the chiral XY, and the chiral Heisenberg models at four-loop order
with the perturbative renormalization group in 4-ε dimensions and compute critical …

The Weyl semimetal (WSM) is a newly proposed quantum state of matter. It has Weyl nodes
in bulk excitations and Fermi arc surface states. We study the effects of disorder and …

We numerically study the effect of short-ranged potential disorder on massless
noninteracting three-dimensional Dirac and Weyl fermions, with a focus on the question of …

We study the stability of three-dimensional incompressible Weyl semimetals in the presence
of random quenched charge impurities. Combining numerical analysis and scaling theory …

We study the effect of disorder in systems having a nontrivial Euler class. As these recently
proposed multigap topological phases come about by braiding non-Abelian charged band …

Weyl semimetals are gapless quasitopological materials with a set of isolated nodal points
forming their Fermi surface. They manifest their quasitopological character in a series of …

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 …

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 …