New Generation of Massless Dirac Fermions in Graphene under External Periodic Potentials

Details New Generation of Massless Dirac Fermions in Graphene under External Periodic Potentials New Generation of Massless Dirac Fermions in Graphene under External Periodic Potentials

2008-09-19

arxiv.org/abs/0809.3422v1

Phys. Rev. Lett. 101, 126804 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.101.126804

We show that new massless Dirac fermions are generated when a slowly varying periodic potential is applied to graphene. These quasiparticles, generated near the supercell Brillouin zone boundaries with anisotropic group velocity, are different from the original massless Dirac fermions. The quasiparticle wavevector (measured from the new Dirac point), the generalized pseudospin vector, and the group velocity are not collinear. We further show that with an appropriate periodic potential of triangular symmetry, there exists an energy window over which the only available states are these quasiparticles, thus, providing a good system to probe experimentally the new massless Dirac fermions. The required parameters of external potentials are within the realm of laboratory conditions.

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