Membrane amplitude and triaxial stress in twisted bilayer graphene deciphered using first-principles directed elasticity theory and scanning tunneling microscopy

@article{NeekAmal2014MembraneAA,
  title={Membrane amplitude and triaxial stress in twisted bilayer graphene deciphered using first-principles directed elasticity theory and scanning tunneling microscopy},
  author={M. Neek-Amal and Peng Xu and Dejun Qi and Paul M Thibado and Luke O. Nyakiti and Virginia D. Wheeler and Rachael L. Myers-Ward and Charles R. Eddy and David Kurt Gaskill and François M. Peeters},
  journal={Physical Review B},
  year={2014},
  volume={90},
  pages={064101}
}
Departments of Marine Engineering, Material Science and Engineering,Texas A&M University, College Station TX, 77843 USA(Dated: July 9, 2014)Twisted graphene layers produce a moir´e pattern (MP) structure with a predetermined wavelengthfor given twist angle. However, predicting the membrane corrugation amplitude for any angle otherthan pure AB-stacked or AA-stacked graphene is impossible using first-principles density functionaltheory (DFT) due to the large supercell. Here, within elasticity… 
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