The field of two-dimensional topological semimetals, which emerged at the intersection materials and materials, have been rapidly developing in recent years. In this article, we briefly review progress field. Our focus is on basic concepts notions, order to convey a coherent overview Some material examples are discussed illustrate concepts. We discuss outstanding problems that need be addressed...

We propose topological semimetals generated by the square-root operation for tight-binding models in two and three dimensions, which we call semimetals. The host band touching at finite energies, whose protection is inherited from squared Hamiltonian. Such a character also reflected emergence of boundary modes with energies. Specifically, focusing on properties Hamiltonian class AIII, reveal th...

We study the effects of disorder on semi-infinite Weyl and Dirac semimetals where presence a boundary leads to formation either Fermi arcs/rays or surface states. Using local version self-consistent Born approximation, we calculate profile density states group velocity. This allows us explore full phase diagram as function conditions strength. While in all cases recover sharp criticality bulk, ...

This corrects the article DOI: 10.1038/srep34023.