I will discuss the role of Coulomb interactions in Dirac materials. In a first part there will be a discussion of chiral symmetry breaking and an opening of a quasiparticle gap in suspended monolayer graphene, and possible experimental signatures, as for instance observed in transport measurements. In a second part I will discuss Dirac physics on the surface of three dimensional topological insulators. I argue that tuning the bulk gap of the topological insulator towards its quantum critical point can drive chiral symmetry breaking on the protected surface states, which are of the Dirac form in the noninteracting limit. |
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