A model of twisted bilayer graphene has been offered on the base of developed quasi-relativistic approach with high energy [Formula: see text]-Hamiltonian. Monolayer-graphene twist is accounted as a perturbation of monolayer-graphene Hamiltonian in such a way that at a given point of the Brillouin zone there exists an external non-Abelian gauge field of another monolayer. Majorana-like resonances have been revealed in the band structure of model at a magic rotation angle [Formula: see text]. The simulations have also shown that a superlattice energy gap existing at a rotation angle [Formula: see text] vanishes at a rotation angle [Formula: see text].

中文翻译：

---

高能k·p-Hamiltonian近似中扭曲双层石墨烯的电子特性

基于已开发的高能准相对论方法[公式：见正文]-Hamiltonian，提供了一种扭曲双层石墨烯模型。单层石墨烯扭曲被认为是单层石墨烯哈密顿量的扰动，使得在布里渊区的给定点存在另一个单层的外部非阿贝尔规范场。马约拉纳式共振已在模型的能带结构中以神奇的旋转角显示[公式：见正文]。模拟还表明，存在于旋转角 [公式：见文本] 处的超晶格能隙在旋转角 [公式：见文本] 处消失。