Angle-Dependent van Hove Singularities and Their Breakdown in Twisted   Graphene Bilayers
  The creation of van der Waals heterostructures based on a graphene monolayer and other two-dimensional crystals has attracted great interest because atomic registry of the two-dimensional crystals can modify the electronic spectra and properties of graphene. Twisted graphene bilayer can be viewed as a special van der Waals structure composed of two mutual misoriented graphene layers, where the sublayer graphene not only plays the role of a substrate, but also acts as an equivalent role as the top graphene layer in the structure. Here we report the electronic spectra of slightly twisted graphene bilayers studied by scanning tunneling microscopy and spectroscopy. Our experiment demonstrates that twist-induced van Hove singularities are ubiquitously present for rotation angles theta less than about 3.5o, corresponding to moir\'e-pattern periods D longer than 4 nm. However, they totally vanish for theta > 5.5o (D < 2.5 nm). Such a behavior indicates that the continuum models, which capture moir\'e-pattern periodicity more accurately at small rotation angles, are no longer applicable at large rotation angles. 
Wei Yan, Lan Meng, Mengxi Liu, Jia-Bin Qiao, Zhao-Dong Chu, Rui-Fen   Dou, Zhongfan Liu, Jia-Cai Nie, and Lin He
cond-mat.mtrl-sci cond-mat.mes-hall