具有畴壁的非互易Su-Schrieffer-Heeger模型的精确解
Exact solutions of nonreciprocal Su-Schrieffer-Heeger model with domain walls
- Max Planck Institute for the Science of Light（马克斯·普朗克光科学研究所）
- Department of Physics, National University of Singapore（新加坡国立大学物理系）
- Department of Physics, Friedrich-Alexander-Universität Erlangen-Nürnberg（埃尔朗根-纽伦堡大学物理系）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
该研究通过粘合两个耦合比倒置的SSH链，解析求解了非厄米SSH模型中的畴壁本征态，发现有限能量局域态，并推广至二维Lieb晶格实现可调漏斗效应。
AI中文摘要：
我们研究了具有非厄米趋肤效应及其高维推广的非厄米Su-Schrieffer-Heeger模型中的畴壁物理，重点关注开放边界条件下的解析本征态解。通过将两个耦合比倒置的Su-Schrieffer-Heeger链粘合在一起，我们识别出两种不同的界面几何结构，并利用基于对称性的试探解推导出复波数和波函数的闭式量子化条件。除了常规的趋肤模式和拓扑零模式外，畴壁还在有限能量处产生额外的局域态，这些态从体态开放边界条件连续谱中分离出来。我们通过精确对角化验证了解析结果，并进一步将界面构造推广到二维Lieb晶格，其中竞争的非互易性产生了朝向余维一和余维二界面的可调漏斗区域。
英文摘要：
We investigate domain-wall physics in a non-Hermitian Su-Schrieffer-Heeger model featuring the non-Hermitian skin effect and its higher-dimensional extensions, focusing on analytical eigenstate solutions under open boundary conditions. By gluing two Su-Schrieffer-Heeger chains with inverted coupling ratios together, we identify two distinct interface geometries, and derive closed-form quantization conditions for the complex wave number and wave functions using symmetry-based ansatzes. Besides conventional skin modes and topological zero modes, the domain walls generate additional localized states at finite energy that detach from the bulk open-boundary-condition continuum. We validate the analytical results by exact diagonalization, and further generalize the interface construction to a two-dimensional Lieb lattice, where competing nonreciprocities produce tunable funneling regimes towards codimension-one and codimension-two interfaces.
