Anderson critical metal phase in trivial states protected by average magnetic crystalline symmetry

Abstract Transitions between distinct obstructed atomic insulators (OAIs) protected by crystalline symmetries, where electrons form molecular orbitals centering away from the atom positions, must go through an intermediate metallic phase. In this work, we find that the intermediate metals will becom...

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Main Authors: Fa-Jie Wang, Zhen-Yu Xiao, Raquel Queiroz, B. Andrei Bernevig, Ady Stern, Zhi-Da Song
Format: Article
Language:English
Published: Nature Portfolio 2024-04-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-024-47467-2
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author Fa-Jie Wang
Zhen-Yu Xiao
Raquel Queiroz
B. Andrei Bernevig
Ady Stern
Zhi-Da Song
author_facet Fa-Jie Wang
Zhen-Yu Xiao
Raquel Queiroz
B. Andrei Bernevig
Ady Stern
Zhi-Da Song
author_sort Fa-Jie Wang
collection DOAJ
description Abstract Transitions between distinct obstructed atomic insulators (OAIs) protected by crystalline symmetries, where electrons form molecular orbitals centering away from the atom positions, must go through an intermediate metallic phase. In this work, we find that the intermediate metals will become a scale-invariant critical metal phase (CMP) under certain types of quenched disorder that respect the magnetic crystalline symmetries on average. We explicitly construct models respecting average C 2z T, m, and C 4z T and show their scale-invariance under chemical potential disorder by the finite-size scaling method. Conventional theories, such as weak anti-localization and topological phase transition, cannot explain the underlying mechanism. A quantitative mapping between lattice and network models shows that the CMP can be understood through a semi-classical percolation problem. Ultimately, we systematically classify all the OAI transitions protected by (magnetic) groups $$Pm,P{2}^{{\prime} },P{4}^{{\prime} }$$ P m , P 2 ′ , P 4 ′ , and $$P{6}^{{\prime} }$$ P 6 ′ with and without spin-orbit coupling, most of which can support CMP.
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spelling doaj.art-c417866f80a24e71ab9a15cf79fbb9cb2024-04-14T11:21:08ZengNature PortfolioNature Communications2041-17232024-04-0115111310.1038/s41467-024-47467-2Anderson critical metal phase in trivial states protected by average magnetic crystalline symmetryFa-Jie Wang0Zhen-Yu Xiao1Raquel Queiroz2B. Andrei Bernevig3Ady Stern4Zhi-Da Song5International Center for Quantum Materials, School of Physics, Peking UniversityInternational Center for Quantum Materials, School of Physics, Peking UniversityDepartment of Physics, Columbia UniversityDepartment of Physics, Princeton UniversityDepartment of Condensed Matter Physics, Weizmann Institute of ScienceInternational Center for Quantum Materials, School of Physics, Peking UniversityAbstract Transitions between distinct obstructed atomic insulators (OAIs) protected by crystalline symmetries, where electrons form molecular orbitals centering away from the atom positions, must go through an intermediate metallic phase. In this work, we find that the intermediate metals will become a scale-invariant critical metal phase (CMP) under certain types of quenched disorder that respect the magnetic crystalline symmetries on average. We explicitly construct models respecting average C 2z T, m, and C 4z T and show their scale-invariance under chemical potential disorder by the finite-size scaling method. Conventional theories, such as weak anti-localization and topological phase transition, cannot explain the underlying mechanism. A quantitative mapping between lattice and network models shows that the CMP can be understood through a semi-classical percolation problem. Ultimately, we systematically classify all the OAI transitions protected by (magnetic) groups $$Pm,P{2}^{{\prime} },P{4}^{{\prime} }$$ P m , P 2 ′ , P 4 ′ , and $$P{6}^{{\prime} }$$ P 6 ′ with and without spin-orbit coupling, most of which can support CMP.https://doi.org/10.1038/s41467-024-47467-2
spellingShingle Fa-Jie Wang
Zhen-Yu Xiao
Raquel Queiroz
B. Andrei Bernevig
Ady Stern
Zhi-Da Song
Anderson critical metal phase in trivial states protected by average magnetic crystalline symmetry
Nature Communications
title Anderson critical metal phase in trivial states protected by average magnetic crystalline symmetry
title_full Anderson critical metal phase in trivial states protected by average magnetic crystalline symmetry
title_fullStr Anderson critical metal phase in trivial states protected by average magnetic crystalline symmetry
title_full_unstemmed Anderson critical metal phase in trivial states protected by average magnetic crystalline symmetry
title_short Anderson critical metal phase in trivial states protected by average magnetic crystalline symmetry
title_sort anderson critical metal phase in trivial states protected by average magnetic crystalline symmetry
url https://doi.org/10.1038/s41467-024-47467-2
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