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1/4 is the new 1/2 when topology is intertwined with Mottness

In non-interacting systems, bands from non-trivial topology emerge strictly at half-filling and exhibit either the quantum anomalous Hall or spin Hall effects. Here we show using determinantal quantum Monte Carlo and an exactly solvable strongly interacting model that these topological states now sh...

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Autores principales: Mai, Peizhi, Zhao, Jinchao, Feldman, Benjamin E., Phillips, Philip W.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10522641/
https://www.ncbi.nlm.nih.gov/pubmed/37752137
http://dx.doi.org/10.1038/s41467-023-41465-6
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author Mai, Peizhi
Zhao, Jinchao
Feldman, Benjamin E.
Phillips, Philip W.
author_facet Mai, Peizhi
Zhao, Jinchao
Feldman, Benjamin E.
Phillips, Philip W.
author_sort Mai, Peizhi
collection PubMed
description In non-interacting systems, bands from non-trivial topology emerge strictly at half-filling and exhibit either the quantum anomalous Hall or spin Hall effects. Here we show using determinantal quantum Monte Carlo and an exactly solvable strongly interacting model that these topological states now shift to quarter filling. A topological Mott insulator is the underlying cause. The peak in the spin susceptibility is consistent with a possible ferromagnetic state at T = 0. The onset of such magnetism would convert the quantum spin Hall to a quantum anomalous Hall effect. While such a symmetry-broken phase typically is accompanied by a gap, we find that the interaction strength must exceed a critical value for this to occur. Hence, we predict that topology can obtain in a gapless phase but only in the presence of interactions in dispersive bands. These results explain the recent quarter-filled quantum anomalous Hall effects seen in moiré systems.
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spelling pubmed-105226412023-09-28 1/4 is the new 1/2 when topology is intertwined with Mottness Mai, Peizhi Zhao, Jinchao Feldman, Benjamin E. Phillips, Philip W. Nat Commun Article In non-interacting systems, bands from non-trivial topology emerge strictly at half-filling and exhibit either the quantum anomalous Hall or spin Hall effects. Here we show using determinantal quantum Monte Carlo and an exactly solvable strongly interacting model that these topological states now shift to quarter filling. A topological Mott insulator is the underlying cause. The peak in the spin susceptibility is consistent with a possible ferromagnetic state at T = 0. The onset of such magnetism would convert the quantum spin Hall to a quantum anomalous Hall effect. While such a symmetry-broken phase typically is accompanied by a gap, we find that the interaction strength must exceed a critical value for this to occur. Hence, we predict that topology can obtain in a gapless phase but only in the presence of interactions in dispersive bands. These results explain the recent quarter-filled quantum anomalous Hall effects seen in moiré systems. Nature Publishing Group UK 2023-09-26 /pmc/articles/PMC10522641/ /pubmed/37752137 http://dx.doi.org/10.1038/s41467-023-41465-6 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/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 licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence 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 licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Mai, Peizhi
Zhao, Jinchao
Feldman, Benjamin E.
Phillips, Philip W.
1/4 is the new 1/2 when topology is intertwined with Mottness
title 1/4 is the new 1/2 when topology is intertwined with Mottness
title_full 1/4 is the new 1/2 when topology is intertwined with Mottness
title_fullStr 1/4 is the new 1/2 when topology is intertwined with Mottness
title_full_unstemmed 1/4 is the new 1/2 when topology is intertwined with Mottness
title_short 1/4 is the new 1/2 when topology is intertwined with Mottness
title_sort 1/4 is the new 1/2 when topology is intertwined with mottness
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10522641/
https://www.ncbi.nlm.nih.gov/pubmed/37752137
http://dx.doi.org/10.1038/s41467-023-41465-6
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