Tunable zero modes and quantum interferences in flat-band topological insulators
| Autor: | Juan Zurita, Gloria Platero, Charles E. Creffield |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics
Quantum Physics Physics and Astronomy (miscellaneous) Degree (graph theory) Condensed Matter - Mesoscale and Nanoscale Physics Física de materiales QC1-999 Zero (complex analysis) FOS: Physical sciences Atomic and Molecular Physics and Optics Symmetry (physics) Chain (algebraic topology) Quantum mechanics Topological insulator Mesoscale and Nanoscale Physics (cond-mat.mes-hall) Física del estado sólido Quantum information Quantum Physics (quant-ph) Quantum Phase diagram |
| Zdroj: | Quantum, Vol 5, p 591 (2021) E-Prints Complutense. Archivo Institucional de la UCM instname |
| Popis: | We investigate the interplay between Aharonov-Bohm (AB) caging and topological protection in a family of quasi-one-dimensional topological insulators, which we term CSSH ladders. Hybrids of the Creutz ladder and the SSH chain, they present a regime with completely flat bands, and a rich topological phase diagram, with several kinds of protected zero modes. These are reminiscent of the Creutz ladder edge states in some cases, and of the SSH chain edge states in others. Furthermore, their high degree of tunability, and the fact that they remain topologically protected even in small systems in the rungless case, due to AB caging, make them suitable for quantum information purposes. One of the ladders can belong to the BDI, AIII and D symmetry classes depending on its parameters, the latter being unusual in a non-superconducting model. Two of the models can also harbor topological end modes which do not follow the usual bulk-boundary correspondence, and are instead related to a Chern number. Finally, we propose some experimental setups to implement the CSSH ladders with current technology, focusing on the photonic lattice case. 26 pages, 10 figures |
| Databáze: | OpenAIRE |
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