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arXiv · 2609.17378

Exact solutions of nonreciprocal Su-Schrieffer-Heeger model with domain walls

Tong Wang·Mengjie Yang·Flore K. Kunst
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Abstract

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.

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Tong Wang, Mengjie Yang, Flore K. Kunst. 2026-09-15. Exact solutions of nonreciprocal Su-Schrieffer-Heeger model with domain walls. https://arxiv.org/abs/2609.17378

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