标题： 菱方石墨表面态的量子几何及其对表面超导性的影响 显示英文标题

标题： Quantum geometry of the surface states of rhombohedral graphite and its effects on the surface superconductivity

摘要： 我们研究了菱方石墨/石墨烯（RG）表面电子态的量子几何及其对超导性的影响。 我们发现，RG表面能带在鼓面区域中心具有非零的量子度规，并且量子度规与贝里曲率之间的局部不等式成为等式。因此，它们的量子几何类似于最低朗道能级（LLL）。 RG的两个表面轨道上的超导序参量可以通过表面势来极化，这促进了由位移场触发的三层RG中的超导转变。分析多层RG的超流体性质，我们将其与用于描述魔角扭转双层石墨烯（MATBG）的拓扑重费米子模型联系起来。 结果显示，RG符合一种不寻常的重费米子图像，其中表面能带最平的部分携带非零的超电流。这些结果可能限制为RG的相关相构建的模型。 显示英文摘要

摘要： We investigate the quantum geometry of rhombohedral graphite/graphene (RG) surface electronic states and its effects on superconductivity. We find that the RG surface bands have a non-vanishing quantum metric at the center of the drumhead region, and the local inequality between quantum metric and Berry curvature is an equality. Therefore, their quantum geometry is analogous to the lowest Landau level (LLL). The superconducting order parameters on the two surface orbitals of RG can be polarized by the surface potential, which boosts the superconducting transition in trilayer RG triggered by the displacement field. Analyzing the superfluid properties of multilayer RG, we make a connection with the topological heavy fermion model suggested to describe magic-angle twisted bilayer graphene (MATBG). It shows that RG fits in an unusual heavy-fermion picture with the flattest part of the surface bands carrying a nonzero supercurrent. These results may constrain the models constructed for the correlated phases of RG.