2017/03/08 by J. Gonzalez, J. González
Materials Science · Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Band gap #Condensed matter physics #Coulomb #Critical line #Electron #Geometry #Graphene research and applications #Mathematics #Phase (matter) #Phase diagram #Physics #Quantum mechanics #Renormalization #Renormalization group #Scaling #Semimetal #Topological Materials and Phenomena #Weyl semimetal #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.96.081104
published as Phys. Rev. B 96, 081104 (2017) · 5 pages, 4 figures
arxiv created 2017/03/08 · openalex created_date 2017/03/16 · openalex publication_date 2017/08/09 · arxiv updated 2017/08/16 · openalex updated_date 2026/08/05
We investigate the low-energy scaling behavior of an interacting three-dimensional (3D) Weyl semimetal in the presence of disorder. In order to achieve a renormalization group analysis of the theory, we first focus on the effects of a short-ranged-correlated disorder potential, checking nevertheless that this choice is not essential to locate the different phases of the Weyl semimetal. We show that there is a line of fixed points in the renormalization group flow of the interacting theory, corresponding to the disorder-driven transition to a diffusive metal phase. Along that boundary, the critical disorder strength undergoes a strong increase with respect to the noninteracting theory, as a consequence of the unconventional screening of the Coulomb and disorder-induced interactions. The complementary resolution of the Schwinger-Dyson equations allows us to determine the full phase diagram of the system, showing the prevalence of a renormalized semimetallic phase in the regime of intermediate interaction strength, and adjacent to the non-Fermi liquid instability of 3D Weyl semimetals in the strong interaction regime.