Effective Magnetic Fields in Graphene Superlattices
arXiv:1006.0975 · doi:10.1103/PhysRevLett.105.156801
Abstract
We demonstrate that the electronic spectrum of graphene in a one-dimensional periodic potential will develop a Landau level spectrum when the potential magnitude varies slowly in space. The effect is related to extra Dirac points generated by the potential whose positions are sensitive to its magnitude. We develop an effective theory that exploits a chiral symmetry in the Dirac Hamiltonian description with a superlattice potential, to show that the low energy theory contains an effective magnetic field. Numerical diagonalization of the Dirac equation confirms the presence of Landau levels. Possible consequences for transport are discussed.
4 pages (+ 2 pages of supplementary material), 3 figures
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- Moire superlattice effects in graphene/boron-nitride van der Waals heterostructures
- Transport in superlattices on single layer graphene
- Evidence for Superlattice Dirac Points and Space-dependent Fermi Velocity in Corrugated Graphene Monolayer
- Adsorption by design: tuning atom-graphene van der Waals interactions via mechanical strain
- Landau level splitting due to graphene superlattices
- Confining and repulsive potentials from effective non-Abelian gauge fields in graphene bilayers
- Magnetic Phases in Periodically Rippled Graphene
- Band Structure and Topological Properties of Graphene in a Superlattice Spin Exchange Field