Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2010-06-18
Phys. Rev. B 82, 155417 (2010)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
11 pages, 8 figures
Scientific paper
10.1103/PhysRevB.82.155417
Motivated by recent proposals on strain-engineering of graphene electronic circuits we calculate conductivity, shot-noise and the density of states in periodically deformed graphene. We provide the solution to the Dirac-Kronig-Penney model, which describes the phase-coherent transport in clean monolayer samples with an one-dimensional modulation of the strain and the electrostatic potentials. We compare the exact results to a qualitative band-structure analysis. We find that periodic strains induce large pseudo-gaps and suppress charge transport in the direction of strain modulation. The strain-induced minima in the gate-voltage dependence of the conductivity characterize the quality of graphene superstructures. The effect is especially strong if the variation of inter-atomic distance exceeds the value a^2/l, where a is the lattice spacing of free graphene and l is the period of the superlattice. A similar effect induced by a periodic electrostatic potential is weakened due to Klein tunnelling.
Belzig Wolfgang
Gattenloehner S.
Titov Maxim
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