AI 中文总结
该研究通过BF中介子的费米子相互作用构建具有非平凡拓扑性质的重整化结构，类比三维拓扑绝缘体，推导含轴向有限尺寸效应的准粒子相互作用势，揭示相关相互作用特征并探讨薄膜极限相变行为。
AI 中文摘要
本文证明，普通费米子通过BF中介子发生相互作用时，会形成具有非平凡拓扑性质的重整化结构。我们将该重整化费米子与三维拓扑绝缘体（TIs）在单个狄拉克锥附近的子集进行类比，利用拓扑绝缘体晶格和能隙的典型大小对模型参数进行约束。由辐射修正诱导的拓扑结构进入一类修正狄拉克方程，确保螺旋无隙近边界模式的存在。我们推导了包含轴向有限尺寸效应的准粒子间相互作用有效势，揭示了自旋-轨道耦合和时间反演不变性的特征。值得注意的是，不同自旋的粒子不通过特征自旋-轨道耦合相互作用，且会产生非中心自旋依赖力。我们还探讨了该系统在薄膜极限相关相变中的行为。
英文摘要
This paper demonstrates that ordinary fermions, interacting via a BF mediator, form a renormalized structure with non-trivial topological properties. We explore the analogy between the renormalized fermion and a subset of real three-dimensional topological insulators (TIs) in the vicinity of their single Dirac cones. Using the typical magnitude of TI lattice and gaps, we constrain model parameters. The topological structure induced by radiative corrections enters a class of modified Dirac equations, ensuring the existence of helical gapless near-boundary modes. We derive an effective potential for inter-quasi-particle interactions that incorporates finite-size effects in the axial direction, revealing signatures of spin-orbit coupling and time-reversal invariance. Remarkably, particles with different spins do not interact via the characteristic spin-orbit coupling, and a non-central spin-dependent force arises. We also address the behavior of the system in the phase transition associated with the thin-film limit.
Comments13 pages, 2 figures, to be published in Phys. Lett. A
Journal refPhys. Lett. A 595 (2026) 132093
DOI：10.1016/j.physleta.2026.132093
