Realization of the Haldane Chern insulator in a moiré lattice
The Chern insulator displays a quantized Hall effect without Landau levels. Theoretically, this state can be realized by engineering complex next-nearest-neighbour hopping in a honeycomb lattice—the so-called Haldane model. Despite its profound effect on the field of topological physics and recent i...
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creator | Zhao, Wenjin Kang, Kaifei Zhang, Yichi Knüppel, Patrick Tao, Zui Li, Lizhong Tschirhart, Charles L. Redekop, Evgeny Watanabe, Kenji Taniguchi, Takashi Young, Andrea F. Shan, Jie Mak, Kin Fai |
description | The Chern insulator displays a quantized Hall effect without Landau levels. Theoretically, this state can be realized by engineering complex next-nearest-neighbour hopping in a honeycomb lattice—the so-called Haldane model. Despite its profound effect on the field of topological physics and recent implementation in cold-atom experiments, the Haldane model has not yet been realized in solid-state materials. Here we report the experimental realization of a Haldane Chern insulator in AB-stacked MoTe
2
/WSe
2
moiré bilayers, which form a honeycomb moiré lattice with two sublattices residing in different layers. We show that the moiré bilayer filled with two holes per unit cell is a quantum spin Hall insulator with a tunable charge gap. Under a small out-of-plane magnetic field, it becomes a Chern insulator with a finite Chern number because the Zeeman field splits the quantum spin Hall insulator into two halves with opposite valleys: one with a positive and the other with a negative moiré band gap. We also demonstrate experimental evidence of the Haldane model at zero external magnetic field by proximity coupling the moiré bilayer to a ferromagnetic insulator.
The Haldane model is a paradigmatic example of topological behaviour but has not previously been implemented in condensed-matter experiments. Now a moiré bilayer is shown to realize this model with the accompanying quantized transport response. |
doi_str_mv | 10.1038/s41567-023-02284-0 |
format | Article |
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2
/WSe
2
moiré bilayers, which form a honeycomb moiré lattice with two sublattices residing in different layers. We show that the moiré bilayer filled with two holes per unit cell is a quantum spin Hall insulator with a tunable charge gap. Under a small out-of-plane magnetic field, it becomes a Chern insulator with a finite Chern number because the Zeeman field splits the quantum spin Hall insulator into two halves with opposite valleys: one with a positive and the other with a negative moiré band gap. We also demonstrate experimental evidence of the Haldane model at zero external magnetic field by proximity coupling the moiré bilayer to a ferromagnetic insulator.
The Haldane model is a paradigmatic example of topological behaviour but has not previously been implemented in condensed-matter experiments. Now a moiré bilayer is shown to realize this model with the accompanying quantized transport response.</description><identifier>ISSN: 1745-2473</identifier><identifier>EISSN: 1745-2481</identifier><identifier>DOI: 10.1038/s41567-023-02284-0</identifier><language>eng</language><publisher>London: Nature Publishing Group UK</publisher><subject>639/766/119/1000/1018 ; 639/766/119/2792 ; 639/766/483/3926 ; Atomic ; Classical and Continuum Physics ; Complex Systems ; Condensed Matter Physics ; Ferromagnetism ; Magnetic fields ; Mathematical and Computational Physics ; Molecular ; Optical and Plasma Physics ; Physics ; Physics and Astronomy ; Quantum Hall effect ; Theoretical ; Topology ; Unit cell</subject><ispartof>Nature physics, 2024-02, Vol.20 (2), p.275-280</ispartof><rights>The Author(s), under exclusive licence to Springer Nature Limited 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c363t-5dd14422edb733f4d762665a48d49d22591e8d6cb91838162fcdfe33957fcca83</citedby><cites>FETCH-LOGICAL-c363t-5dd14422edb733f4d762665a48d49d22591e8d6cb91838162fcdfe33957fcca83</cites><orcidid>0000-0002-1467-3105 ; 0000-0002-8906-3950 ; 0000-0003-3701-8119 ; 0000-0003-0016-5684 ; 0000-0003-1270-9386 ; 0000-0002-5768-199X ; 0000-0002-6193-3440 ; 0000-0001-6258-0803</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1038/s41567-023-02284-0$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1038/s41567-023-02284-0$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Zhao, Wenjin</creatorcontrib><creatorcontrib>Kang, Kaifei</creatorcontrib><creatorcontrib>Zhang, Yichi</creatorcontrib><creatorcontrib>Knüppel, Patrick</creatorcontrib><creatorcontrib>Tao, Zui</creatorcontrib><creatorcontrib>Li, Lizhong</creatorcontrib><creatorcontrib>Tschirhart, Charles L.</creatorcontrib><creatorcontrib>Redekop, Evgeny</creatorcontrib><creatorcontrib>Watanabe, Kenji</creatorcontrib><creatorcontrib>Taniguchi, Takashi</creatorcontrib><creatorcontrib>Young, Andrea F.</creatorcontrib><creatorcontrib>Shan, Jie</creatorcontrib><creatorcontrib>Mak, Kin Fai</creatorcontrib><title>Realization of the Haldane Chern insulator in a moiré lattice</title><title>Nature physics</title><addtitle>Nat. Phys</addtitle><description>The Chern insulator displays a quantized Hall effect without Landau levels. Theoretically, this state can be realized by engineering complex next-nearest-neighbour hopping in a honeycomb lattice—the so-called Haldane model. Despite its profound effect on the field of topological physics and recent implementation in cold-atom experiments, the Haldane model has not yet been realized in solid-state materials. Here we report the experimental realization of a Haldane Chern insulator in AB-stacked MoTe
2
/WSe
2
moiré bilayers, which form a honeycomb moiré lattice with two sublattices residing in different layers. We show that the moiré bilayer filled with two holes per unit cell is a quantum spin Hall insulator with a tunable charge gap. Under a small out-of-plane magnetic field, it becomes a Chern insulator with a finite Chern number because the Zeeman field splits the quantum spin Hall insulator into two halves with opposite valleys: one with a positive and the other with a negative moiré band gap. We also demonstrate experimental evidence of the Haldane model at zero external magnetic field by proximity coupling the moiré bilayer to a ferromagnetic insulator.
The Haldane model is a paradigmatic example of topological behaviour but has not previously been implemented in condensed-matter experiments. Now a moiré bilayer is shown to realize this model with the accompanying quantized transport response.</description><subject>639/766/119/1000/1018</subject><subject>639/766/119/2792</subject><subject>639/766/483/3926</subject><subject>Atomic</subject><subject>Classical and Continuum Physics</subject><subject>Complex Systems</subject><subject>Condensed Matter Physics</subject><subject>Ferromagnetism</subject><subject>Magnetic fields</subject><subject>Mathematical and Computational Physics</subject><subject>Molecular</subject><subject>Optical and Plasma Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Hall effect</subject><subject>Theoretical</subject><subject>Topology</subject><subject>Unit cell</subject><issn>1745-2473</issn><issn>1745-2481</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNp9kM1KAzEUhYMoWKsv4CrgejS5N5PJbAQpaoWCILoOaX7slOlMTaYLfSOfwxczOqI7F5d7uJxzLnyEnHJ2zhmqiyR4KauCAeYBJQq2Rya8EmUBQvH9X13hITlKac2YAMlxQi4fvGmbNzM0fUf7QIeVp3PTOtN5Olv52NGmS7vWDH3Mihq66Zv48U7zZWisPyYHwbTJn_zsKXm6uX6czYvF_e3d7GpRWJQ4FKVzXAgA75YVYhCukiBlaYRyonYAZc29ctIua65QcQnBuuAR67IK1hqFU3I29m5j_7LzadDrfhe7_FJDDRKBKV5nF4wuG_uUog96G5uNia-aM_3FSY-cdOakvzlplkM4hlI2d88-_lX_k_oExRhqRQ</recordid><startdate>20240201</startdate><enddate>20240201</enddate><creator>Zhao, Wenjin</creator><creator>Kang, Kaifei</creator><creator>Zhang, Yichi</creator><creator>Knüppel, Patrick</creator><creator>Tao, Zui</creator><creator>Li, Lizhong</creator><creator>Tschirhart, Charles L.</creator><creator>Redekop, Evgeny</creator><creator>Watanabe, Kenji</creator><creator>Taniguchi, Takashi</creator><creator>Young, Andrea F.</creator><creator>Shan, Jie</creator><creator>Mak, Kin Fai</creator><general>Nature Publishing Group UK</general><general>Nature Publishing Group</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope><orcidid>https://orcid.org/0000-0002-1467-3105</orcidid><orcidid>https://orcid.org/0000-0002-8906-3950</orcidid><orcidid>https://orcid.org/0000-0003-3701-8119</orcidid><orcidid>https://orcid.org/0000-0003-0016-5684</orcidid><orcidid>https://orcid.org/0000-0003-1270-9386</orcidid><orcidid>https://orcid.org/0000-0002-5768-199X</orcidid><orcidid>https://orcid.org/0000-0002-6193-3440</orcidid><orcidid>https://orcid.org/0000-0001-6258-0803</orcidid></search><sort><creationdate>20240201</creationdate><title>Realization of the Haldane Chern insulator in a moiré lattice</title><author>Zhao, Wenjin ; Kang, Kaifei ; Zhang, Yichi ; Knüppel, Patrick ; Tao, Zui ; Li, Lizhong ; Tschirhart, Charles L. ; Redekop, Evgeny ; Watanabe, Kenji ; Taniguchi, Takashi ; Young, Andrea F. ; Shan, Jie ; Mak, Kin Fai</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c363t-5dd14422edb733f4d762665a48d49d22591e8d6cb91838162fcdfe33957fcca83</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>639/766/119/1000/1018</topic><topic>639/766/119/2792</topic><topic>639/766/483/3926</topic><topic>Atomic</topic><topic>Classical and Continuum Physics</topic><topic>Complex Systems</topic><topic>Condensed Matter Physics</topic><topic>Ferromagnetism</topic><topic>Magnetic fields</topic><topic>Mathematical and Computational Physics</topic><topic>Molecular</topic><topic>Optical and Plasma Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Hall effect</topic><topic>Theoretical</topic><topic>Topology</topic><topic>Unit cell</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zhao, Wenjin</creatorcontrib><creatorcontrib>Kang, Kaifei</creatorcontrib><creatorcontrib>Zhang, Yichi</creatorcontrib><creatorcontrib>Knüppel, Patrick</creatorcontrib><creatorcontrib>Tao, Zui</creatorcontrib><creatorcontrib>Li, Lizhong</creatorcontrib><creatorcontrib>Tschirhart, Charles L.</creatorcontrib><creatorcontrib>Redekop, Evgeny</creatorcontrib><creatorcontrib>Watanabe, Kenji</creatorcontrib><creatorcontrib>Taniguchi, Takashi</creatorcontrib><creatorcontrib>Young, Andrea F.</creatorcontrib><creatorcontrib>Shan, Jie</creatorcontrib><creatorcontrib>Mak, Kin Fai</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Nature physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zhao, Wenjin</au><au>Kang, Kaifei</au><au>Zhang, Yichi</au><au>Knüppel, Patrick</au><au>Tao, Zui</au><au>Li, Lizhong</au><au>Tschirhart, Charles L.</au><au>Redekop, Evgeny</au><au>Watanabe, Kenji</au><au>Taniguchi, Takashi</au><au>Young, Andrea F.</au><au>Shan, Jie</au><au>Mak, Kin Fai</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Realization of the Haldane Chern insulator in a moiré lattice</atitle><jtitle>Nature physics</jtitle><stitle>Nat. Phys</stitle><date>2024-02-01</date><risdate>2024</risdate><volume>20</volume><issue>2</issue><spage>275</spage><epage>280</epage><pages>275-280</pages><issn>1745-2473</issn><eissn>1745-2481</eissn><abstract>The Chern insulator displays a quantized Hall effect without Landau levels. Theoretically, this state can be realized by engineering complex next-nearest-neighbour hopping in a honeycomb lattice—the so-called Haldane model. Despite its profound effect on the field of topological physics and recent implementation in cold-atom experiments, the Haldane model has not yet been realized in solid-state materials. Here we report the experimental realization of a Haldane Chern insulator in AB-stacked MoTe
2
/WSe
2
moiré bilayers, which form a honeycomb moiré lattice with two sublattices residing in different layers. We show that the moiré bilayer filled with two holes per unit cell is a quantum spin Hall insulator with a tunable charge gap. Under a small out-of-plane magnetic field, it becomes a Chern insulator with a finite Chern number because the Zeeman field splits the quantum spin Hall insulator into two halves with opposite valleys: one with a positive and the other with a negative moiré band gap. We also demonstrate experimental evidence of the Haldane model at zero external magnetic field by proximity coupling the moiré bilayer to a ferromagnetic insulator.
The Haldane model is a paradigmatic example of topological behaviour but has not previously been implemented in condensed-matter experiments. Now a moiré bilayer is shown to realize this model with the accompanying quantized transport response.</abstract><cop>London</cop><pub>Nature Publishing Group UK</pub><doi>10.1038/s41567-023-02284-0</doi><tpages>6</tpages><orcidid>https://orcid.org/0000-0002-1467-3105</orcidid><orcidid>https://orcid.org/0000-0002-8906-3950</orcidid><orcidid>https://orcid.org/0000-0003-3701-8119</orcidid><orcidid>https://orcid.org/0000-0003-0016-5684</orcidid><orcidid>https://orcid.org/0000-0003-1270-9386</orcidid><orcidid>https://orcid.org/0000-0002-5768-199X</orcidid><orcidid>https://orcid.org/0000-0002-6193-3440</orcidid><orcidid>https://orcid.org/0000-0001-6258-0803</orcidid><oa>free_for_read</oa></addata></record> |
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title | Realization of the Haldane Chern insulator in a moiré lattice |
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