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Role of helical edge modes in the chiral quantum anomalous Hall state

Although indications are that a single chiral quantum anomalous Hall(QAH) edge mode might have been experimentally detected. There have been very many recent experiments which conjecture that a chiral QAH edge mode always materializes along with a pair of quasi-helical quantum spin Hall (QSH) edge m...

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Autores principales: Mani, Arjun, Benjamin, Colin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5778147/
https://www.ncbi.nlm.nih.gov/pubmed/29358646
http://dx.doi.org/10.1038/s41598-018-19272-7
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author Mani, Arjun
Benjamin, Colin
author_facet Mani, Arjun
Benjamin, Colin
author_sort Mani, Arjun
collection PubMed
description Although indications are that a single chiral quantum anomalous Hall(QAH) edge mode might have been experimentally detected. There have been very many recent experiments which conjecture that a chiral QAH edge mode always materializes along with a pair of quasi-helical quantum spin Hall (QSH) edge modes. In this work we deal with a substantial ‘What If?’ question- in case the QSH edge modes, from which these QAH edge modes evolve, are not topologically-protected then the QAH edge modes wont be topologically-protected too and thus unfit for use in any applications. Further, as a corollary one can also ask if the topological-protection of QSH edge modes does not carry over during the evolution process to QAH edge modes then again our ‘What if?’ scenario becomes apparent. The ‘how’ of the resolution of this ‘What if?’ conundrum is the main objective of our work. We show in similar set-ups affected by disorder and inelastic scattering, transport via trivial QAH edge mode leads to quantization of Hall resistance and not that via topological QAH edge modes. This perhaps begs a substantial reinterpretation of those experiments which purported to find signatures of chiral(topological) QAH edge modes albeit in conjunction with quasi helical QSH edge modes.
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spelling pubmed-57781472018-01-31 Role of helical edge modes in the chiral quantum anomalous Hall state Mani, Arjun Benjamin, Colin Sci Rep Article Although indications are that a single chiral quantum anomalous Hall(QAH) edge mode might have been experimentally detected. There have been very many recent experiments which conjecture that a chiral QAH edge mode always materializes along with a pair of quasi-helical quantum spin Hall (QSH) edge modes. In this work we deal with a substantial ‘What If?’ question- in case the QSH edge modes, from which these QAH edge modes evolve, are not topologically-protected then the QAH edge modes wont be topologically-protected too and thus unfit for use in any applications. Further, as a corollary one can also ask if the topological-protection of QSH edge modes does not carry over during the evolution process to QAH edge modes then again our ‘What if?’ scenario becomes apparent. The ‘how’ of the resolution of this ‘What if?’ conundrum is the main objective of our work. We show in similar set-ups affected by disorder and inelastic scattering, transport via trivial QAH edge mode leads to quantization of Hall resistance and not that via topological QAH edge modes. This perhaps begs a substantial reinterpretation of those experiments which purported to find signatures of chiral(topological) QAH edge modes albeit in conjunction with quasi helical QSH edge modes. Nature Publishing Group UK 2018-01-22 /pmc/articles/PMC5778147/ /pubmed/29358646 http://dx.doi.org/10.1038/s41598-018-19272-7 Text en © The Author(s) 2018 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Mani, Arjun
Benjamin, Colin
Role of helical edge modes in the chiral quantum anomalous Hall state
title Role of helical edge modes in the chiral quantum anomalous Hall state
title_full Role of helical edge modes in the chiral quantum anomalous Hall state
title_fullStr Role of helical edge modes in the chiral quantum anomalous Hall state
title_full_unstemmed Role of helical edge modes in the chiral quantum anomalous Hall state
title_short Role of helical edge modes in the chiral quantum anomalous Hall state
title_sort role of helical edge modes in the chiral quantum anomalous hall state
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5778147/
https://www.ncbi.nlm.nih.gov/pubmed/29358646
http://dx.doi.org/10.1038/s41598-018-19272-7
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