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 Pu 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 D. 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… Expand
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References

SHOWING 1-10 OF 21 REFERENCES
APPL
Statistical packages have been used for decades to analyze large datasets or to perform mathematically intractable statistical methods. These packages are not capable of working with random variablesExpand
W
  • Duan, and N.-x. Chen, Sci. Rep. 3, 3046 (2013). 064101-5 M. NEEK-AMAL et al. PHYSICAL REVIEW B 90, 064101
  • 2014
C
  • R. Eddy, Jr., and D. K. Gaskill, Surf. Sci. 617, 113
  • 2013
Nature (London) 499
  • 419
  • 2013
Sci
  • Rep. 3, 2666
  • 2013
Scientific Reports 3
  • 2666
  • 2013
Th
  • Seyller, and A. La Magna, Phys. Rev. B. 88, 085408
  • 2013
and N-xian Chen
  • Scientific Reports 3, 3406
  • 2013
G
  • Trambly de Laissardière, M. M. Ugeda, L. Magaud, J. M. Gómez-Rodrı́guez, F. Ynduráin, and J.-Y. Veuillen, Phys. Rev. Lett. 109, 196802
  • 2012
I and J
...
1
2
3
...