0598962 - ÚJF 2025 RIV US eng J - Journal Article
Jakubský, Vít - Zelaya, K.
Flat-band engineering of quasi-one-dimensional systems via supersymmetric transformations.
Physical Review B. Roč. 109, č. 24 (2024), č. článku 245406. ISSN 2469-9950. E-ISSN 2469-9969
R&D Projects: GA MŠMT EH22_008/0004558
Institutional support: RVO:61389005
Keywords : crystal model * supersymmetric * flat band
OECD category: Condensed matter physics (including formerly solid state physics, supercond.)
Impact factor: 3.2, year: 2023 ; AIS: 0.896, rok: 2023
Method of publishing: Open access
Result website:
https://doi.org/10.1103/PhysRevB.109.245406DOI: https://doi.org/10.1103/PhysRevB.109.245406

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 one to extend the corresponding supersymmetric 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 three examples where the Su-Schriefer-Heeger chain is locally converted into a stub lattice.
Permanent Link: https://hdl.handle.net/11104/0356535