Landau levels in curved space realized in strained graphene

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