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

Fa Jie Wang; Zhen Yu Xiao; Raquel Queiroz; B. Andrei Bernevig; Ady Stern; Zhi Da Song

doi:10.1038/s41467-024-47467-2

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

Fa Jie Wang, Zhen Yu Xiao, Raquel Queiroz, B. Andrei Bernevig, Ady Stern, Zhi Da Song^*

^*Corresponding author for this work

Department of Condensed Matter Physics

Research output: Contribution to journal › Article › peer-review

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_2zT, m, and C_4zT 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,P2^′,P4^′, and P6^′ with and without spin-orbit coupling, most of which can support CMP.

Original language	English
Article number	3069
Journal	Nature Communications
Volume	15
DOIs	https://doi.org/10.1038/s41467-024-47467-2
Publication status	Published Online - 9 Apr 2024

Bibliographical note

We are grateful to Roni Ilan, Ryuichi Shindou, Chen Wang, Chui-Zhen Chen, Jian Li, and Anton Akhmerov for helpful discussions. Z.-D.S. and F.-J.W. were supported by National Natural Science Foundation of China (General Program No. 12274005), Innovation Program for Quantum Science and Technology (No. 2021ZD0302403), National Key Research and Development Program of China (No. 2021YFA1401903). B.A.B. was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (grant agreement No. 101020833), the ONR Grant No. N00014-20-1-2303, the Schmidt Fund for Innovative Research, Simons Investigator Grant No. 404513, the Gordon and Betty Moore Foundation through the EPiQS Initiative, Grant GBMF11070 and Grant No. GBMF8685 towards the Princeton theory program. Further support was provided by the NSF-MRSEC Grant No. DMR-2011750, BSF Israel US foundation Grant No. 2018226, the Princeton Global Network Funds. R.Q. is supported by the Simons Foundation award 990414, the U.S. Department of Energy (DOE) under award DE-SC0019443, and the NSF MRSEC DMR-2011738

Publisher Copyright:
© The Author(s) 2024.

All Science Journal Classification (ASJC) codes

General Chemistry
General Biochemistry,Genetics and Molecular Biology
General Physics and Astronomy

Access to Document

10.1038/s41467-024-47467-2Licence: CC BY

Cite this

@article{6870f3dd2a4440d0a58ebcfb552e2a3f,

title = "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 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 C2zT, m, and C4zT 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,P2′,P4′, and P6′ with and without spin-orbit coupling, most of which can support CMP.",

author = "Wang, {Fa Jie} and Xiao, {Zhen Yu} and Raquel Queiroz and Bernevig, {B. Andrei} and Ady Stern and Song, {Zhi Da}",

note = "We are grateful to Roni Ilan, Ryuichi Shindou, Chen Wang, Chui-Zhen Chen, Jian Li, and Anton Akhmerov for helpful discussions. Z.-D.S. and F.-J.W. were supported by National Natural Science Foundation of China (General Program No. 12274005), Innovation Program for Quantum Science and Technology (No. 2021ZD0302403), National Key Research and Development Program of China (No. 2021YFA1401903). B.A.B. was supported by the European Research Council (ERC) under the European Union{\textquoteright}s Horizon 2020 research and innovation program (grant agreement No. 101020833), the ONR Grant No. N00014-20-1-2303, the Schmidt Fund for Innovative Research, Simons Investigator Grant No. 404513, the Gordon and Betty Moore Foundation through the EPiQS Initiative, Grant GBMF11070 and Grant No. GBMF8685 towards the Princeton theory program. Further support was provided by the NSF-MRSEC Grant No. DMR-2011750, BSF Israel US foundation Grant No. 2018226, the Princeton Global Network Funds. R.Q. is supported by the Simons Foundation award 990414, the U.S. Department of Energy (DOE) under award DE-SC0019443, and the NSF MRSEC DMR-2011738 Publisher Copyright: {\textcopyright} The Author(s) 2024.",

year = "2024",

month = apr,

day = "9",

doi = "10.1038/s41467-024-47467-2",

language = "English",

volume = "15",

journal = "Nature Communications",

issn = "2041-1723",

publisher = "Nature Publishing Group",

}

TY - JOUR

T1 - Anderson critical metal phase in trivial states protected by average magnetic crystalline symmetry

AU - Wang, Fa Jie

AU - Xiao, Zhen Yu

AU - Queiroz, Raquel

AU - Bernevig, B. Andrei

AU - Stern, Ady

AU - Song, Zhi Da

N1 - We are grateful to Roni Ilan, Ryuichi Shindou, Chen Wang, Chui-Zhen Chen, Jian Li, and Anton Akhmerov for helpful discussions. Z.-D.S. and F.-J.W. were supported by National Natural Science Foundation of China (General Program No. 12274005), Innovation Program for Quantum Science and Technology (No. 2021ZD0302403), National Key Research and Development Program of China (No. 2021YFA1401903). B.A.B. was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (grant agreement No. 101020833), the ONR Grant No. N00014-20-1-2303, the Schmidt Fund for Innovative Research, Simons Investigator Grant No. 404513, the Gordon and Betty Moore Foundation through the EPiQS Initiative, Grant GBMF11070 and Grant No. GBMF8685 towards the Princeton theory program. Further support was provided by the NSF-MRSEC Grant No. DMR-2011750, BSF Israel US foundation Grant No. 2018226, the Princeton Global Network Funds. R.Q. is supported by the Simons Foundation award 990414, the U.S. Department of Energy (DOE) under award DE-SC0019443, and the NSF MRSEC DMR-2011738 Publisher Copyright: © The Author(s) 2024.

PY - 2024/4/9

Y1 - 2024/4/9

N2 - 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 C2zT, m, and C4zT 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,P2′,P4′, and P6′ with and without spin-orbit coupling, most of which can support CMP.

AB - 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 C2zT, m, and C4zT 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,P2′,P4′, and P6′ with and without spin-orbit coupling, most of which can support CMP.

UR - http://www.scopus.com/inward/record.url?scp=85189953494&partnerID=8YFLogxK

U2 - 10.1038/s41467-024-47467-2

DO - 10.1038/s41467-024-47467-2

M3 - Article

AN - SCOPUS:85189953494

SN - 2041-1723

VL - 15

JO - Nature Communications

JF - Nature Communications

M1 - 3069

ER -

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

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this