标题： 量子几何与关联石墨烯异质结构中的局域磁矩交换 显示英文标题

标题： Quantum geometry and local moment swapover in correlated graphene heterostructures

摘要： 石墨烯基多层系统由于石墨烯的狄拉克带中显著的量子度量和贝里曲率，具有独特的低能带，因此成为探索电子关联与拓扑相互作用的多功能平台。 在此，我们研究了功能化石墨烯中狄拉克带与局域轨道平带杂化的莫特物理和局部自旋矩。 通过杂化控制，在两种对称性不同的位选择莫特态之间实现了拓扑转变，这些态在不同的Wyckoff位置具有局部矩，其中间出现几何强制的金属态。 我们发现，这种几何控制的局部矩“交换”及相关的金属-绝缘体物理可以通过在SiC(0001)上外延石墨烯与IV族插层剂的邻近耦合实现，在大杂化极限下莫特态面临几何障碍。 我们的工作表明，化学功能化石墨烯提供了一个关联电子平台，非常类似于石墨烯莫尔系统中的拓扑重费米子，但具有显著增强的特征能量尺度。 显示英文摘要

摘要： Graphene-based multilayer systems serve as versatile platforms for exploring the interplay between electron correlation and topology, thanks to distinctive low-energy bands marked by significant quantum metric and Berry curvature from graphene's Dirac bands. Here, we investigate Mott physics and local spin moments in Dirac bands hybridized with a flat band of localized orbitals in functionalized graphene. Via hybridization control, a topological transition is realized between two symmetry-distinct site-selective Mott states featuring local moments in different Wyckoff positions, with a geometrically enforced metallic state emerging in between. We find that this geometrically controlled local moment ``swapover'' and associated metal-insulator physics may be realized through proximity coupling of epitaxial graphene on SiC(0001) with group IV intercalants, where the Mott state faces geometrical obstruction in the large-hybridization limit. Our work shows that chemically functionalized graphene provides a correlated electron platform, very similar to the topological heavy fermions in graphene moir\'e systems but at significantly enhanced characteristic energy scales.