Abstract We linearize the Hamiltonian for Graphene in the vecinity of the nodes and obtain a two dimensional Dirac massles Hamiltonian for each layer. Including the spin–orbit a mass is introduced. The attractive interaction is obtain as a result of rotationof one of the layer. The mass introduced gives rise to attraction for small angle rotation. Using the spinors repesentation in the vecinity of the nodal Dirac points the inteactions are modified. The parity anomaly resulting from rotations modifies the “ A P S ” i n d e x theorem of “Gravitational” “Chern Simons”. We show directly that the combination of rotation and projection of the spinors in the vecinity of the Dirac nodes are modified in such way, that a repulsive real space interaction, becomes attractive in the restricted momentum space, in certain directions. The chemical potential contoles the behavior.

中文翻译：

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由旋转层引起的石墨烯中的超导性

摘要 我们在节点附近对石墨烯的哈密顿量进行线性化，得到每一层的二维狄拉克质量哈密顿量。包括自旋轨道，一个质量被引入。吸引相互作用是由于层之一的旋转而获得的。引入的质量对小角度旋转产生吸引力。使用节点狄拉克点附近的旋量表示来修改相互作用。旋转引起的奇偶异常修改了“引力”“陈西蒙斯”的“APS”指数定理。我们直接表明，狄拉克节点附近自旋量的旋转和投影的组合以这样的方式修改，即排斥的真实空间相互作用在受限的动量空间中，在某些方向上变得有吸引力。