Topological solitons, a class of stable nonlinear excitations, appear in diverse domains as in
the Skyrme model of nuclear forces. Here, we argue that similar excitations play an …

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 …

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 …

Topological Weyl semimetals (TWS) can be classified as type I TWS, in which the density of
states vanishes at the Weyl nodes, and type II TWS, in which an electron pocket and a hole …

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

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 …

In chiral crystals crystalline symmetries can protect multifold fermions, pseudorelativistic
masless quasiparticles that have no high-energy counterparts. Their realization in transition …