Global phase diagram of Coulomb-interacting anisotropic Weyl semimetals with disorder

Jing-Rong Wang, Wei Li, Gang Wang, Chang-Jin Zhang

Published 2018-02-25Version 1

Taking into account the interplay between the disorder and Coulomb interactions, the phase diagram of three-dimensional anisotropic-Weyl semimetal is studied by renormalization group theory. It is well established that the weak disorder is irrelevant in 3D anisotropic-Weyl semimetal, while the strong disorder makes sense which drives a quantum phase transition from semimetal to compressible diffusive metal. The long-range Coulomb interaction is irrelevant in clean anistropic Weyl semimetal. However, we find that the long-range Coulomb interaction exerts a dramatic influence on the critical disorder strength for phase transition to compressible diffusive metal. Specifically, the critical disorder strength can receive prominent changes even though an arbitrarily small value of Coulomb interaction is included. This novel behavior is closely related to the anisotropic screening effect of long-range Coulomb interaction, and essentially results from the specifical energy dispersion of the fermions in three-dimensional anisotropic Weyl semimetal.