Graphene is an excellent two-dimensional materials with high-mobility and relativistic electronic linear dispersion. Its rich physical properties such as half-integer quantum Hall effect and device application potential have been continuously attracting great attention. However, light carbon atoms also imply negligible intrinsic spin–orbit coupling (SOC) strength which hinders its spintronic application. To enhance the SOC effect, we introduce a special deformation vector with chiral curvature, borrowed from the Einstein theory of general relativity, to mimic space warping and twisting. The derived Rashba type pseudospin–spin coupling locks the spin orientation of an electron with respect to its pseudospin. Combined with the original Dirac type Hamiltonian specifying the pseudospin orientation of an electron with respect to its wavevector, it lifts the spin degeneracy and paves the way for graphene-based spintronic devices. An estimate suggests that a Rashba type pseudospin–spin coupling of the order of 5 meV can be achieved in tens nanometer samples.

石墨烯是一种优异的二维材料，具有高迁移率和相对论性电子线性色散。其半整数量子霍尔效应等丰富的物理特性和器件应用潜力不断受到人们的关注。然而，轻碳原子也意味着可忽略不计的固有自旋轨道耦合（SOC）强度，这阻碍了其自旋电子应用。为了增强 SOC 效应，我们引入了一种具有手征曲率的特殊变形向量，它借鉴了爱因斯坦的广义相对论理论，以模拟空间扭曲和扭曲。派生的 Rashba 型赝自旋耦合锁定电子相对于赝自旋的自旋方向。结合原始狄拉克型哈密顿量，指定电子相对于其波矢的赝自旋方向，它提升了自旋简并性并为基于石墨烯的自旋电子器件铺平了道路。估计表明，可以在数十纳米样品中实现 5 meV 数量级的 Rashba 型赝自旋耦合。