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Tunneling of quasiparticles between two nearly-aligned graphene sheetsproduces resonant current-voltage characteristics because of the quasi-exactconservation of in-plane momentum. We claim that, in this regime, verticaltransport in graphene/boron nitride/graphene heterostructures carries preciousinformation on electron-electron interactions and the quasiparticle spectralfunction of the two-dimensional electron system in graphene. We presentextensive microscopic calculations of the tunneling spectra with the inclusionof quasiparticle lifetime effects and elucidate the range of parameters(inter-layer bias, temperature, twist angle, and gate voltage) under whichelectron-electron interaction physics emerges.

Resonant tunneling and the quasiparticle lifetime in graphene/boron nitride/graphene heterostructures