Emergence of quasiperiodic behavior in transport and hybridization properties of clean lattice systems

Quasiperiodic behavior is mostly known to occur in systems with enforced quasiperiodicity or randomness, in either the lattice structure or the potential, as well as in periodically driven systems. Here, we present instead a rarer setting where quasiperiodic behavior emerges in clean, nondriven latt...

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Bibliographic Details
Published in:Physical review research 2023-02, Vol.5 (1), p.013083, Article 013083
Main Authors: Glittum, Cecilie, Štrkalj, Antonio, Castelnovo, Claudio
Format: Article
Language:English
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Summary:Quasiperiodic behavior is mostly known to occur in systems with enforced quasiperiodicity or randomness, in either the lattice structure or the potential, as well as in periodically driven systems. Here, we present instead a rarer setting where quasiperiodic behavior emerges in clean, nondriven lattice systems. We illustrate this through two examples of experimental relevance, namely an infinite tight-binding chain with a gated segment, and a hopping particle coupled to static Ising degrees of freedom. We show how the quasiperiodic behavior manifests in the number of states that are localized by the geometry of the system, with corresponding effects on transport and hybridization properties.
ISSN:2643-1564
2643-1564
DOI:10.1103/PhysRevResearch.5.013083