Exact solutions of nonreciprocal Su-Schrieffer-Heeger model with domain walls
- URL: http://arxiv.org/abs/2609.17378v1
- Date: Tue, 15 Sep 2026 16:21:21 GMT
- Title: Exact solutions of nonreciprocal Su-Schrieffer-Heeger model with domain walls
- Abstract summary: We investigate domain-wall physics in a non-Hermitian Su-Schrieffer-Heeger model featuring the non-Hermitian skin effect and its higher-dimensional extensions.<n>By gluing two Su-Schrieffer-Heeger chains with inverted coupling ratios together, we identify two distinct interface geometries.<n>We derive closed-form quantization conditions for the complex wave number and wave functions using symmetry-based ansatzes.
- Score: 3.6949757872077416
- License: http://creativecommons.org/licenses/by-nc-sa/4.0/
- 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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