2014/05/31 by Akihiko Sekine, Kentaro Nomura · 1 citation
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Aerospace engineering #Band gap #Computer science #Condensed matter physics #Dirac (video compression format) #Engineering #Environmental science #Graphene research and applications #Physics #Quantum mechanics #Range (aeronautics) #Semimetal #Spectral Theory in Mathematical Physics #Stability (learning theory) #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.str-el #hep-lat #hep-ph
paper · pdf · doi:10.1103/physrevb.90.075137
published as Phys. Rev. B 90, 075137 (2014) · 8 pages, 2 figures
openalex publication_date 2014/08/21 · arxiv created 2014/08/22 · arxiv updated 2014/08/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the stability of Dirac semimetals with N nodes in three spatial dimensions against strong 1/r long-range Coulomb interactions. We particularly study the cases of N=4 and N=16, where the N=4 Dirac semimetal is described by the staggered fermions and the N=16 Dirac semimetal is described by the doubled lattice fermions. We take into account the 1/r long-range Coulomb interactions between the bulk electrons. Based on the U(1) lattice gauge theory, we analyze the system from the strong coupling limit. It is shown that the Dirac semimetals survive in the strong coupling limit when the out-of-plane Fermi velocity anisotropy of the Dirac cones is weak, whereas they change to Mott insulators when the anisotropy is strong. A possible global phase diagram of correlated multinode Dirac semimetals is presented. Implications of our result to the stability of Weyl semimetals and three-dimensional topological insulators are discussed.