Inverse Design of Strongly Localized Topological $π$ Modes in One-Dimensional Nonperiodic Systems

• URL: http://arxiv.org/abs/2603.29821v1
• Date: Tue, 31 Mar 2026 14:45:08 GMT
• Title: Inverse Design of Strongly Localized Topological $π$ Modes in One-Dimensional Nonperiodic Systems
• Abstract summary: Inverse design of a potential sequence is performed using a generative model under a global topological constraint.<n>The generated sequence reveals a characteristic structure consisting of a topological boundary layer and a macroscopic S-dense domain.<n>Results provide a compact design principle for strongly localized topological states.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: This study investigates the spatial confinement of topological $π$-modes in one-dimensional chiral-symmetric systems. In conventional periodic and quasiperiodic structures, edge-mode wave functions inevitably penetrate the bulk. To suppress this, inverse design of a potential sequence is performed using a generative model under a global topological constraint. The generated sequence reveals a characteristic structure consisting of a topological boundary layer and a macroscopic S-dense domain, leading to enhanced confinement ($ξ=0.85$) while preserving topology. Based on the physical principle extracted from this result, a minimal heterostructure composed of only two S-blocks is manually constructed, which further reduces the localization length to $ξ=0.75$. These results provide a compact design principle for strongly localized topological states.

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