Flat-band engineering of quasi-one-dimensional systems via supersymmetric transformations

• URL: http://arxiv.org/abs/2402.10514v2
• Date: Fri, 7 Jun 2024 10:26:16 GMT
• Title: Flat-band engineering of quasi-one-dimensional systems via supersymmetric transformations
• Authors: Vit Jakubsky, Kevin Zelaya,
• Abstract summary: We introduce a systematic method to spectrally design quasi-one-dimensional crystal models. The method is based on the supersymmetric transformation applied to an initially known pseudo-spin-1/2 model. The results are illustrated in two examples where the Su-Schriefer-Heeger chain is locally converted into a lattice stub.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We introduce a systematic method to spectrally design quasi-one-dimensional crystal models described by the Dirac equation in the low-energy regime. The method is based on the supersymmetric transformation applied to an initially known pseudo-spin-1/2 model. This allows extending the corresponding susy partner so that the new model describes a pseudo-spin-1 system. The spectral design allows the introduction of a flat-band and discrete energies at will into the new model. The results are illustrated in two examples where the Su-Schriefer-Heeger chain is locally converted into a stub lattice.

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