Topologically Protected Zero Modes in Twisted Bilayer Graphene

Details Topologically Protected Zero Modes in Twisted Bilayer Graphene Topologically Protected Zero Modes in Twisted Bilayer Graphene

2011-03-16

arxiv.org/abs/1103.3172v3

Phys. Rev. B 84, 045436 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 3 figures; published version

Scientific paper

10.1103/PhysRevB.84.045436

We show that the twisted graphene bilayer can reveal unusual topological properties at low energies, as a consequence of a Dirac-point splitting. These features rely on a symmetry analysis of the electron hopping between the two layers of graphene and we derive a simplified effective low-energy Hamiltonian which captures the essential topological properties of twisted bilayer graphene. The corresponding Landau levels peculiarly reveal a degenerate zero-energy mode which cannot be lifted by strong magnetic fields.

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