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Title

Phase diagram of the quantum electrodynamics of two-dimensional and three-dimensional Dirac semimetals

AuthorsGonzález, J.
Issue Date9-Sep-2015
PublisherAmerican Physical Society
CitationPhysical Review B 92: 125115 (2015)
Abstract© 2015 American Physical Society. We study the quantum electrodynamics of two-dimensional (2D) and three-dimensional (3D) Dirac semimetals by means of a self-consistent resolution of the Schwinger-Dyson equations, aiming to obtain the respective phase diagrams in terms of the relative strength of the Coulomb interaction and the number N of Dirac fermions. In this framework, 2D Dirac semimetals have just a strong-coupling instability characterized by exciton condensation (and dynamical generation of mass) that we find at a critical coupling well above previous theoretical estimates, thus explaining the absence of that instability in free-standing graphene samples. On the other hand, we show that 3D Dirac semimetals have a richer phase diagram, with a strong-coupling instability leading to dynamical mass generation up to N=4 and a line of critical points for larger values of N characterized by the vanishing of the electron quasiparticle weight in the low-energy limit. Such a critical behavior signals the transition to a strongly correlated liquid, characterized by noninteger scaling dimensions that imply the absence of a pole in the electron propagator and are the signature of non-Fermi-liquid behavior with no stable electron quasiparticles.
Description9 pags.; 11 figs.; PACS number(s): 71.15.Rf, 71.10.Hf, 71.30.+h, 72.80.Vp
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevB.92.125115
URI10261/129598
DOI10.1103/PhysRevB.92.125115
Identifiersdoi: 10.1103/PhysRevB.92.125115
issn: 1550-235X
10261/129598
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