The Density of Surface States in Weyl Semimetals

Weyl semimetal is a three-dimensional material with a conical spectrum near an even number of point nodes, where two bands touch each other. Here we study spectral properties of surface electron states in such a system. We show that the density of surface states possesses a logarithmic singularity for the energy $\varepsilon \to 0$. It decreases linearly at the intermediate energy of surface electron states and approaches zero as $\sqrt{1-\varepsilon}$ for $\varepsilon \to 1$. This universal behavior is a hallmark of the topological order that offers a new wide range of applications.