Electronic band gaps and transport in aperiodic graphene superlattices of Thue-Morse sequence

Details Electronic band gaps and transport in aperiodic graphene superlattices of Thue-Morse sequence Electronic band gaps and transport in aperiodic graphene superlattices of Thue-Morse sequence

2012-02-09

arxiv.org/abs/1202.1871v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 figures

Scientific paper

We have studied the electronic properties in aperiodic graphene superlattices of Thue-Morse sequence. Although the structure is aperiodic, an unusual Dirac point (DP) does exist and its location is exactly at the position of the zero-averaged wave number (zero-$\bar{k})$. Furthermore, the zero-$\bar{k}$ gap associated with the DP is robust against the lattice constants and the incident angles, and multi-DPs can appear under the suitable conditions. A resultant controllability of electron transport in Thue-Morse sequence is predicted, which may facilitate the development of many graphene-based electronics.

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