Extra Dirac points in the energy spectrum for superlattices on single-layer graphene

Details Extra Dirac points in the energy spectrum for superlattices on single-layer graphene Extra Dirac points in the energy spectrum for superlattices on single-layer graphene

2010-02-07

arxiv.org/abs/1002.1442v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 8 figures, accepted for publication in Phys. Rev. B

Scientific paper

We investigate the emergence of extra Dirac points in the electronic structure of a periodically spaced barrier system, i.e., a superlattice, on single-layer graphene, using a Dirac-type Hamiltonian. Using square barriers allows us to find analytic expressions for the occurrence and location of these new Dirac points in k-space and for the renormalization of the electron velocity near them in the low-energy range. In the general case of unequal barrier and well widths the new Dirac points move away from the Fermi level and for given heights of the potential barriers there is a minimum and maximum barrier width outside of which the new Dirac points disappear. The effect of these extra Dirac points on the density of states and on the conductivity is investigated.

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