标题： 多层石墨烯与手性腔耦合时的可调拓扑相 显示英文标题

标题： Tunable Topological Phases in Multilayer Graphene Coupled to a Chiral Cavity

摘要： 将光子腔场耦合到二维材料的电子自由度中，为固态工程工具箱引入了一个额外的控制参数。 在这里，我们展示了石墨烯堆栈中腔频率与层间隧穿之间微妙的竞争关系，这种竞争负责光-物质希尔伯特空间中的拓扑相变，并且无法通过真空中的平均场理论捕捉。 系统性地探索手性太赫兹腔中的多层石墨烯异质结构和堆叠构型表明，线性色散增强了由低能腔诱导的拓扑间隙。 此外，在双层石墨烯中，位移场驱动低能真空带从谷-Chern转变为Chern绝缘体，包括一个可由栅极调节的拓扑相变。 我们的发现为未来利用手性腔场控制和设计石墨烯异质结构铺平了道路。 显示英文摘要

摘要： Coupling photonic cavity fields to electronic degrees of freedom in 2D materials introduces an additional control knob to the toolbox of solid-state engineering. Here we demonstrate a subtle competition between cavity frequency and interlayer tunneling in graphene stacks that is responsible for topological phase transitions in light-matter Hilbert space and that cannot be captured by mean-field theory in vacuum. A systematic exploration of multilayer graphene heterostructures and stacking configurations in a chiral tHz cavity reveals that linear dispersion enhances the low-energy cavity-induced topological gap. Furthermore, in bilayer graphene, a displacement field drives the low-energy vacuum band from valley-Chern to Chern insulator, comprising a gate-tunable topological phase transition. Our findings pave the way for future control and engineering of graphene heterostructures with chiral cavity fields.