The basic aspects of electrons in graphene (two-dimensional graphite) exposed to a strong
perpendicular magnetic field are reviewed. One of its most salient features is the relativistic …

These notes are based on lectures serving the advanced graduate education of the Delta
Institute of Theoretical Physics in the Netherlands in autumn 2021. The goal is to explain in a …

We report a change in the semimetallic nature of single-layer graphene after exposure to
oxygen plasma. The resulting transition from semimetallic to semiconducting behavior …

The role of electron-electron interactions in two-dimensional Dirac fermion systems remains
enigmatic. Using a combination of nonperturbative numerical and analytical techniques that …

I review two classes of strong coupling problems in condensed matter physics, and describe
insights gained by application of the AdS/CFT correspondence. The first class concerns non …

We formulate the effective Gross-Neveu-Yukawa theory of the semimetal-insulator
transitions on the honeycomb lattice and compute its quantum critical behavior near three …

Electrons on the half-filled honeycomb lattice are expected to undergo a direct continuous
transition from the semimetallic into the antiferromagnetic insulating phase with increase of …

The gap generation is studied in suspended clean graphene in the continuum model for
quasiparticles with the Coulomb interaction. We solve the gap equation with the dynamical …

Performing a leading-order renormalization group analysis, here we compute the effects of
generic local or short-range electronic interactions in monolayer and the Bernal bilayer …

We study the Gross-Neveu model in 2+ 1 dimensions in an external magnetic field B. We
first summarize known mean-field results, obtained in the limit of large flavor number N f …