标题： 双腿Hubbard模型中的拓扑相变：通过对角跃迁和强相互作用出现Haldane相 显示英文标题

标题： Topological Phase Transition in the Two-Leg Hubbard Model: Emergence of the Haldane Phase via Diagonal Hopping and Strong Interactions

摘要： 我们研究了具有对角跳跃的双链Hubbard模型，以探索几何失措与强电子-电子相互作用之间的相互作用。利用密度矩阵重正化群（DMRG）方法，我们展示了拓扑Haldane相的出现，这明确是由对角跳跃引起的失措和强 onsite库仑排斥的互补效应所导致的。从平凡绝缘体到非平凡Haldane相的拓扑相变由磁性属性、边缘关联性和非零弦序参量的显著变化来表征。此外，我们通过自旋隙和纠缠谱的详细分析确认了此相的拓扑性质，展示了对称保护拓扑秩序的明确标志。 显示英文摘要

摘要： We investigate the two-leg Hubbard model with diagonal hopping to explore the interplay between geometrical frustration and strong electron-electron interactions. Using the Density Matrix Renormalization Group (DMRG) method, we demonstrate the emergence of a topological Haldane phase, which results explicitly from the complementary effects of diagonal hopping-induced frustration and strong on-site Coulomb repulsion. The topological phase transition from a trivial insulator to the nontrivial Haldane phase is characterized by significant changes in magnetic properties, edge correlations, and the appearance of a nonzero string order parameter. Furthermore, we confirm the topological nature of this phase through a detailed analysis of the spin gap and entanglement spectrum, demonstrating clear signatures of symmetry-protected topological order.