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Inhomogeneous SSH models and the doubling of orthogonal polynomials, by Nicolas Crampé, Quentin Labriet, Lucia Morey, Gilles Parez, Luc Vinet

SciPost Quantum
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⚡ Quantum Brief
A team of physicists introduced a novel framework linking inhomogeneous Su-Schrieffer-Heeger (SSH) models to orthogonal polynomial theory, published in May 2026. Their work bridges condensed matter physics with mathematical physics. The study reveals how specific deformations in SSH models—key to topological insulators—can be systematically described using doubled orthogonal polynomials, offering precise control over edge states and band structures. Researchers demonstrated that this doubling mechanism enables tunable topological phases, potentially advancing error-resistant quantum devices by engineering robust boundary modes in synthetic lattices. The findings provide a unified mathematical toolkit for analyzing disordered or non-uniform SSH chains, addressing long-standing challenges in modeling real-world imperfections in quantum materials. This cross-disciplinary approach could accelerate designs for topological quantum computers, photonics, and metamaterials by leveraging polynomial theory to predict and manipulate exotic quantum states.
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Inhomogeneous SSH models and the doubling of orthogonal polynomials, by Nicolas Crampé, Quentin Labriet, Lucia Morey, Gilles Parez, Luc Vinet

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Source: SciPost Quantum