{"title":"扭曲双层MnPSe3中的八极涡旋晶体和环面力矩","authors":"Muhammad Akram, Fan Yang, Turan Birol, Onur Erten","doi":"10.1021/acs.nanolett.4c05729","DOIUrl":null,"url":null,"abstract":"Experimental detection of antiferromagnetic order in two-dimensional materials is a challenging task. Identifying multidomain antiferromagnetic textures via the current techniques is even more difficult. Therefore, we investigate the higher-order multipole moments in twisted bilayer MnPSe<sub>3</sub>. While the monolayers of MnPSe<sub>3</sub> exhibit antiferromagnetic order, the moiré superlattices display a two-domain phase. We show that the octupolar moments <i>M</i><sub>33</sub><sup>+</sup> and <i>M</i><sub>33</sub><sup>–</sup> are significant in this multidomain phase. In addition, when [<i>M</i><sub>33</sub><sup>+</sup>,<i>M</i><sub>33</sub><sup>–</sup>] are represented by the <i>x</i> and <i>y</i> components of a vector, the resultant pattern of these octupole moments forms vortex crystals which leads to octupolar toroidal moments, <i>T</i><sub><i>xyz</i></sub> and <i>T</i><sub><i>z</i></sub><sup>β</sup>. <i>T</i><sub><i>xyz</i></sub> and <i>T</i><sub><i>z</i></sub><sup>β</sup> can give rise to a magnetoelectric effect and gyrotropic birefringence that may provide indirect ways of detecting multidomain antiferromagnetic order. Our results highlight the importance of higher-order multipole moments for identification of complex spin textures in moiré magnets.","PeriodicalId":53,"journal":{"name":"Nano Letters","volume":"28 1","pages":""},"PeriodicalIF":9.1000,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Octupolar Vortex Crystal and Toroidal Moment in Twisted Bilayer MnPSe3\",\"authors\":\"Muhammad Akram, Fan Yang, Turan Birol, Onur Erten\",\"doi\":\"10.1021/acs.nanolett.4c05729\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Experimental detection of antiferromagnetic order in two-dimensional materials is a challenging task. Identifying multidomain antiferromagnetic textures via the current techniques is even more difficult. Therefore, we investigate the higher-order multipole moments in twisted bilayer MnPSe<sub>3</sub>. While the monolayers of MnPSe<sub>3</sub> exhibit antiferromagnetic order, the moiré superlattices display a two-domain phase. We show that the octupolar moments <i>M</i><sub>33</sub><sup>+</sup> and <i>M</i><sub>33</sub><sup>–</sup> are significant in this multidomain phase. In addition, when [<i>M</i><sub>33</sub><sup>+</sup>,<i>M</i><sub>33</sub><sup>–</sup>] are represented by the <i>x</i> and <i>y</i> components of a vector, the resultant pattern of these octupole moments forms vortex crystals which leads to octupolar toroidal moments, <i>T</i><sub><i>xyz</i></sub> and <i>T</i><sub><i>z</i></sub><sup>β</sup>. <i>T</i><sub><i>xyz</i></sub> and <i>T</i><sub><i>z</i></sub><sup>β</sup> can give rise to a magnetoelectric effect and gyrotropic birefringence that may provide indirect ways of detecting multidomain antiferromagnetic order. Our results highlight the importance of higher-order multipole moments for identification of complex spin textures in moiré magnets.\",\"PeriodicalId\":53,\"journal\":{\"name\":\"Nano Letters\",\"volume\":\"28 1\",\"pages\":\"\"},\"PeriodicalIF\":9.1000,\"publicationDate\":\"2025-01-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nano Letters\",\"FirstCategoryId\":\"88\",\"ListUrlMain\":\"https://doi.org/10.1021/acs.nanolett.4c05729\",\"RegionNum\":1,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nano Letters","FirstCategoryId":"88","ListUrlMain":"https://doi.org/10.1021/acs.nanolett.4c05729","RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
Octupolar Vortex Crystal and Toroidal Moment in Twisted Bilayer MnPSe3
Experimental detection of antiferromagnetic order in two-dimensional materials is a challenging task. Identifying multidomain antiferromagnetic textures via the current techniques is even more difficult. Therefore, we investigate the higher-order multipole moments in twisted bilayer MnPSe3. While the monolayers of MnPSe3 exhibit antiferromagnetic order, the moiré superlattices display a two-domain phase. We show that the octupolar moments M33+ and M33– are significant in this multidomain phase. In addition, when [M33+,M33–] are represented by the x and y components of a vector, the resultant pattern of these octupole moments forms vortex crystals which leads to octupolar toroidal moments, Txyz and Tzβ. Txyz and Tzβ can give rise to a magnetoelectric effect and gyrotropic birefringence that may provide indirect ways of detecting multidomain antiferromagnetic order. Our results highlight the importance of higher-order multipole moments for identification of complex spin textures in moiré magnets.
期刊介绍:
Nano Letters serves as a dynamic platform for promptly disseminating original results in fundamental, applied, and emerging research across all facets of nanoscience and nanotechnology. A pivotal criterion for inclusion within Nano Letters is the convergence of at least two different areas or disciplines, ensuring a rich interdisciplinary scope. The journal is dedicated to fostering exploration in diverse areas, including:
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