Landau Levels in graphene in the presence of emergent gravity
arXiv:1601.00693 · doi:10.1140/epjb/e2016-70182-7
Abstract
We consider graphene in the presence of external magnetic field and elastic deformations that cause emergent magnetic field. The total magnetic field results in the appearance of Landau levels in the spectrum of quasiparticles. In addition, the quasiparticles in graphene experience the emergent gravity. We consider the particular choice of elastic deformation, which gives constant emergent magnetic field and vanishing torsion. Emergent gravity may be considered as perturbation. We demonstrate that the corresponding first order approximation affects the energies of the Landau levels only through the constant renormalization of Fermi velocity. The degeneracy of each Landau level receives correction, which depends essentially on the geometry of the sample. There is the limiting case of the considered elastic deformation, that corresponds to the uniformly stretched graphene. In this case in the presence of the external magnetic field the degeneracies of the Landau levels remain unchanged.
Latex, 12 pages
References in corpus (6)
- Midgap states and charge inhomogeneities in corrugated graphene
- Gauge field induced by ripples in graphene
- Generalizing the Fermi velocity of strained graphene from uniform to nonuniform strain
- Emergent geometry experienced by fermions in graphene in the presence of dislocations
- Index Theorems on Torsional Geometries
- World Nematic Crystal Model of Gravity Explaining the Absence of Torsion
Cited by in corpus (6)
- Electronic and optical properties of strained graphene and other strained 2D materials: a review
- Mixed axial-torsional anomaly in Weyl semimetals
- Effective magnetic field induced by inhomogeneous Fermi velocity in strained honeycomb structures
- Landau levels in curved space realized in strained graphene
- Curved-space Dirac description of elastically deformed monolayer graphene is generally incorrect
- The type II Weyl semimetals at low temperatures: chiral anomaly, elastic deformations, zero sound