2019/04/01 by Yu-Li Lee, Yu-Wen Lee
Materials Science · Physics and Astronomy · #Condensed matter physics #Dirac fermion #Fermi liquid theory #Fermion #Graphene research and applications #Physics #Quantum many-body systems #Quantum mechanics #Renormalization #Renormalization group #Semimetal #Topological Materials and Phenomena #cond-mat.dis-nn #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.100.075156
published as Phys. Rev. B 100, 075156 (2019) · 17 pages, 11 figures
arxiv created 2019/04/01 · openalex publication_date 2019/08/29 · arxiv updated 2019/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the effects of quenched disorder on a noninteracting tilted Dirac semimetal in two dimensions. Depending on the magnitude of the tilting parameter, the system can have either Fermi points (type I) or Fermi lines (type II). In general, there are three different types of disorders for Dirac fermions in two dimensions, namely, the random scalar potential, the random vector potentials along and perpendicular to the tilting direction, and the random mass. We study the effects of weak disorder in terms of the renormalization group, which is performed by integrating out the modes with large energies, instead of large momenta. Since the parametrization of the low-energy degrees of freedom depends on the structure of the Fermi surface, the resulting one-loop renormalization-group equations depend on the type of tilted Dirac fermions. Whenever the disorder is a marginal perturbation, we examine its role on low-energy physics by a mean-field approximation of the replica field theory or the first-order Born approximation. Based on our analysis, we suggest the phase diagrams of a two-dimensional tilted Dirac fermion in the presence of different types of disorder.