AI 中文总结
研究 Kagome 晶格上由 Hatsugai - Kohmoto 相互作用驱动的拓扑相变，结合 Kane - Mele 型自旋轨道耦合提出可精确求解模型，揭示 1/3 填充时的拓扑量子相变及半填充时的转变，统一关联驱动的拓扑和莫特转变，确立该模型为相互作用拓扑系统的重要基准。
AI 中文摘要
能带拓扑与强关联之间的相互作用是现代凝聚态物理的核心，但精确解很少。本文通过结合 Kane - Mele 型自旋轨道耦合与 Hatsugai - Kohmoto 相互作用，在 Kagome 晶格上提出了一个可精确求解的模型。在 1/3 填充时，发现由电子相互作用驱动的连续拓扑量子相变。弱关联的\(\mathbb{Z}_2\)拓扑绝缘体转变为强关联绝缘体，虽\(\mathbb{Z}_2\)平凡但具有非平凡的自旋陈数\(C_s = 2\)。该转变呈现出与二维狄拉克费米子普适类一致的临界标度。在半填充时，同一模型产生非费米液体到莫特绝缘体的转变，表明关联驱动的拓扑和莫特转变可在单一可解框架内统一。结果确立了 Kagome Hatsugai - Kohmoto 模型作为相互作用拓扑系统的重要基准。
英文摘要
The interplay between band topology and strong correlations is central to modern condensed matter physics, but exact solutions are rare. Here, we present an exactly solvable model on the Kagome lattice by combining a Kane-Mele-type spin-orbit coupling with the Hatsugai-Kohmoto interaction. At 1/3 filling, we uncover a continuous topological quantum phase transition driven by electron interaction. A weakly correlated $\mathbb{Z}_2$ topological insulator gives way to a strongly correlated insulator that, while $\mathbb{Z}_2$-trivial, hosts a nontrivial spin Chern number $C_s=2$. The transition exhibits critical scaling consistent with the universality class of two-dimensional Dirac fermions. At half-filling, the same model yields a non-Fermi-liquid to Mott-insulator transition, demonstrating that correlation-driven topological and Mott transitions can be unified within a single solvable framework. Our results establish the Kagome Hatsugai-Kohmoto model as a valuable benchmark for interacting topological systems.
Comments8 pages, 4 figures
Journal refPhysica B: Condensed Matter 740, 419090 (2026)
DOI：10.1016/j.physb.2026.419090
