Unlocking correlated electron physics through compensated metallicity

Van-Hove singularities (vHs), i.e. momentum-localized divergences of density of states, provide a fertile platform to elevate electronic correlation scales, that eventually drive symmetry breaking transitions upon lowering the temperature. However, in many material classes like Dirac semimetals, that display intricate topological features on the single particle level, the energy spacing between vH and Fermi energy impedes the emergence of correlated phases stemming from electronic interactions. In this talk, we propose a charge compensation paradigm to unlock vH dominated physics at pristine filling and access the sought-after electronically driven phase transitions in systems like graphene: By depositing charges on an additional Fermi pocket with spherical symmetry around the Brillouin zone center, the vH singularity approaches the Fermi level. This triggers a plethora of topological phases inherited from the initial bandstructure, that we meticulously analyze within many-body calculations.