Two-gap superconductivity in heavilyn-doped graphene:Ab initioMigdal-Eliashberg theory

2014/07/25 by Elena R. Margine, E. R. Margine, Feliciano Giustino · 2 citations
Materials Science · Physics and Astronomy · #Ab initio #Condensed matter physics #Diamond and Carbon-based Materials Research #Doping #Electron #Fermi level #Graphene #Graphene research and applications #Physics #Quantum mechanics #Superconductivity #Superconductivity in MgB2 and Alloys #Van Hove singularity #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.90.014518

arxiv created 2014/07/25 · openalex publication_date 2014/07/29 · arxiv updated 2015/06/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Graphene is the only member of the carbon family from zero- to three-dimensional materials for which superconductivity has not been observed yet. At this time, it is not clear whether the quest for superconducting graphene is hindered by technical challenges, or else by the fluctuation of the order parameter in two dimensions. In this area, ab initio calculations are useful to guide experimental efforts by narrowing down the search space. In this spirit, we investigate from first principles the possibility of inducing superconductivity in doped graphene using the fully anisotropic Migdal-Eliashberg theory powered by Wannier-Fourier interpolation. To address a best-case scenario, we consider both electron and hole doping at high carrier densities so as to align the Fermi level to a van Hove singularity. In these conditions, we find superconducting gaps of s-wave symmetry, with a slight anisotropy induced by the trigonal warping, and, in the case of n-doped graphene, an unexpected two-gap structure reminiscent of MgB₂. Our Migdal-Eliashberg calculations suggest that the observation of superconductivity at low temperature should be possible for n-doped graphene at carrier densities exceeding 10¹⁵\phantom\rule4pt0excm^\ensuremath-2.

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