TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.5.2.029
TI  - Landau levels in curved space realized in strained graphene
PY  - 2022/05/23
UR  - https://scipost.org/SciPostPhysCore.5.2.029
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 5
IS  - 2
SP  - 029
A1  - Wagner, Glenn
AU  - de Juan, Fernando
AU  - Nguyen, Dung
AB  - 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. Many works have 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 work, we provide this matching by deriving the low-energy Hamiltonian from the tight-binding model analytically to second order in the strain and mapping it to the curved-space Dirac equation. Using a strain profile that produces a constant pseudo-magnetic field and a constant curvature, we 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. We conclude discussing experimental schemes for measuring this effect.
ER  -

@Article{10.21468/SciPostPhysCore.5.2.029,
	title={{Landau levels in curved space realized in strained graphene}},
	author={Glenn Wagner and Fernando de Juan and Dung X. Nguyen},
	journal={SciPost Phys. Core},
	volume={5},
	pages={029},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.5.2.029},
	url={https://scipost.org/10.21468/SciPostPhysCore.5.2.029},
}