1:30 pm MCP 201

How to realize the quantum Hall effect in curved space in strained graphene, Glenn Wagner, Oxford University

The quantum Hall effect in curved space has been the subject of many theoretical investigations in the past, but devising a physical system to observe this effect is hard. Previous work has indicated that electronic excitations in strained graphene realize Dirac fermions in curved space in the presence of a background pseudo-gauge field, providing an ideal playground for this. However, the absence of a direct matching between a numerical, strained tight-binding calculation of an observable and the corresponding curved space prediction has hindered realistic predictions. In this talk, I will sketch how to derive the low-energy Hamiltonian from the tight-binding model and map it to the curved-space Dirac equation. Using a strain profile that produces a constant pseudo-magnetic field and a constant curvature, one can compute the Landau level spectrum with real-space numerical tight-binding calculations and find excellent agreement with the prediction of the quantum Hall effect in curved space. I will conclude by discussing experimental schemes for measuring this effect.

## Event Type

**Feb**

**25**