Tunable zero modes and quantum interferences in flat-band topological insulators

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...

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Autores principales:	Juan Zurita, Charles Creffield, Gloria Platero
Formato:	article
Lenguaje:	EN
Publicado:	Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/d44d7ac18ab84129a96d58fb26dc8de7
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id	oai:doaj.org-article:d44d7ac18ab84129a96d58fb26dc8de7
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spelling	oai:doaj.org-article:d44d7ac18ab84129a96d58fb26dc8de72021-11-25T16:36:06ZTunable zero modes and quantum interferences in flat-band topological insulators2521-327X10.22331/q-2021-11-25-591https://doaj.org/article/d44d7ac18ab84129a96d58fb26dc8de72021-11-01T00:00:00Zhttps://quantum-journal.org/papers/q-2021-11-25-591/pdf/https://doaj.org/toc/2521-327XWe 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.Juan ZuritaCharles CreffieldGloria PlateroVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenarticlePhysicsQC1-999ENQuantum, Vol 5, p 591 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Juan Zurita Charles Creffield Gloria Platero Tunable zero modes and quantum interferences in flat-band topological insulators
description	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.
format	article
author	Juan Zurita Charles Creffield Gloria Platero
author_facet	Juan Zurita Charles Creffield Gloria Platero
author_sort	Juan Zurita
title	Tunable zero modes and quantum interferences in flat-band topological insulators
title_short	Tunable zero modes and quantum interferences in flat-band topological insulators
title_full	Tunable zero modes and quantum interferences in flat-band topological insulators
title_fullStr	Tunable zero modes and quantum interferences in flat-band topological insulators
title_full_unstemmed	Tunable zero modes and quantum interferences in flat-band topological insulators
title_sort	tunable zero modes and quantum interferences in flat-band topological insulators
publisher	Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
publishDate	2021
url	https://doaj.org/article/d44d7ac18ab84129a96d58fb26dc8de7
work_keys_str_mv	AT juanzurita tunablezeromodesandquantuminterferencesinflatbandtopologicalinsulators AT charlescreffield tunablezeromodesandquantuminterferencesinflatbandtopologicalinsulators AT gloriaplatero tunablezeromodesandquantuminterferencesinflatbandtopologicalinsulators
_version_	1718413105824792576

Tunable zero modes and quantum interferences in flat-band topological insulators

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