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arXiv · 2501.15601

SUSY transformation as the coupler of non-interacting systems

Vit Jakubsky
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Abstract

Quasi-one-dimensional chains of atoms can be effectively described by one-dimensional Dirac-type equation. Crystal structure of the chain is reflected by pseudo-spin of the quasi-particles. In the article, we present a simple framework where supersymmetric transformation is utilized to generate an interaction between two, initially non-interacting systems described by pseudo-spin-one Dirac-type equation. In the presented example, the transformation converts two asymptotically non-interacting atomic chains into a saw chain locally. The model possesses a flat band whose energy can be fine-tuned deliberately.

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Vit Jakubsky. 2025-01-26. SUSY transformation as the coupler of non-interacting systems. https://arxiv.org/abs/2501.15601

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