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      Giant Faraday rotation in atomically thin semiconductors

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          Abstract

          Faraday rotation is a fundamental effect in the magneto-optical response of solids, liquids and gases. Materials with a large Verdet constant find applications in optical modulators, sensors and non-reciprocal devices, such as optical isolators. Here, we demonstrate that the plane of polarization of light exhibits a giant Faraday rotation of several degrees around the A exciton transition in hBN-encapsulated monolayers of WSe 2 and MoSe 2 under moderate magnetic fields. This results in the highest known Verdet constant of -1.9 × 10 7 deg T −1 cm −1 for any material in the visible regime. Additionally, interlayer excitons in hBN-encapsulated bilayer MoS 2 exhibit a large Verdet constant ( V IL ≈ +2 × 10 5 deg T −1 cm −2) of opposite sign compared to A excitons in monolayers. The giant Faraday rotation is due to the giant oscillator strength and high g-factor of the excitons in atomically thin semiconducting transition metal dichalcogenides. We deduce the complete in-plane complex dielectric tensor of hBN-encapsulated WSe 2 and MoSe 2 monolayers, which is vital for the prediction of Kerr, Faraday and magneto-circular dichroism spectra of 2D heterostructures. Our results pose a crucial advance in the potential usage of two-dimensional materials in ultrathin optical polarization devices.

          Abstract

          Here, the authors perform Faraday rotation spectroscopy around the excitonic transitions in hBN-encapsulated WSe 2 and MoSe 2 monolayers, and interlayer excitons in MoS 2 bilayers. They measure a large Verdet constant - 1.9 × 10 7 deg T ¹cm ¹ for monolayers, and attribute it to the giant oscillator strength and high g-factor of the excitons.

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          Electronics and optoelectronics of two-dimensional transition metal dichalcogenides.

          The remarkable properties of graphene have renewed interest in inorganic, two-dimensional materials with unique electronic and optical attributes. Transition metal dichalcogenides (TMDCs) are layered materials with strong in-plane bonding and weak out-of-plane interactions enabling exfoliation into two-dimensional layers of single unit cell thickness. Although TMDCs have been studied for decades, recent advances in nanoscale materials characterization and device fabrication have opened up new opportunities for two-dimensional layers of thin TMDCs in nanoelectronics and optoelectronics. TMDCs such as MoS(2), MoSe(2), WS(2) and WSe(2) have sizable bandgaps that change from indirect to direct in single layers, allowing applications such as transistors, photodetectors and electroluminescent devices. We review the historical development of TMDCs, methods for preparing atomically thin layers, their electronic and optical properties, and prospects for future advances in electronics and optoelectronics.
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            Van der Waals heterostructures

            Research on graphene and other two-dimensional atomic crystals is intense and is likely to remain one of the leading topics in condensed matter physics and materials science for many years. Looking beyond this field, isolated atomic planes can also be reassembled into designer heterostructures made layer by layer in a precisely chosen sequence. The first, already remarkably complex, such heterostructures (often referred to as 'van der Waals') have recently been fabricated and investigated, revealing unusual properties and new phenomena. Here we review this emerging research area and identify possible future directions. With steady improvement in fabrication techniques and using graphene's springboard, van der Waals heterostructures should develop into a large field of their own.
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              Discovery of intrinsic ferromagnetism in two-dimensional van der Waals crystals

              The realization of long-range ferromagnetic order in two-dimensional van der Waals crystals, combined with their rich electronic and optical properties, could lead to new magnetic, magnetoelectric and magneto-optic applications. In two-dimensional systems, the long-range magnetic order is strongly suppressed by thermal fluctuations, according to the Mermin–Wagner theorem; however, these thermal fluctuations can be counteracted by magnetic anisotropy. Previous efforts, based on defect and composition engineering, or the proximity effect, introduced magnetic responses only locally or extrinsically. Here we report intrinsic long-range ferromagnetic order in pristine Cr2Ge2Te6 atomic layers, as revealed by scanning magneto-optic Kerr microscopy. In this magnetically soft, two-dimensional van der Waals ferromagnet, we achieve unprecedented control of the transition temperature (between ferromagnetic and paramagnetic states) using very small fields (smaller than 0.3 tesla). This result is in contrast to the insensitivity of the transition temperature to magnetic fields in the three-dimensional regime. We found that the small applied field leads to an effective anisotropy that is much greater than the near-zero magnetocrystalline anisotropy, opening up a large spin-wave excitation gap. We explain the observed phenomenon using renormalized spin-wave theory and conclude that the unusual field dependence of the transition temperature is a hallmark of soft, two-dimensional ferromagnetic van der Waals crystals. Cr2Ge2Te6 is a nearly ideal two-dimensional Heisenberg ferromagnet and so will be useful for studying fundamental spin behaviours, opening the door to exploring new applications such as ultra-compact spintronics.
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                Author and article information

                Contributors
                rudolf.bratschitsch@uni-muenster.de
                ashish.arora@iiserpune.ac.in
                Journal
                Nat Commun
                Nat Commun
                Nature Communications
                Nature Publishing Group UK (London )
                2041-1723
                10 April 2024
                10 April 2024
                2024
                : 15
                : 3082
                Affiliations
                [1 ]GRID grid.5949.1, ISNI 0000 0001 2172 9288, Institute of Physics and Center for Nanotechnology, , University of Münster, ; Wilhelm-Klemm-Strasse 10, Münster, Germany
                [2 ]School of Mathematics and Physics, The University of Queensland, ( https://ror.org/00rqy9422) St Lucia, QLD Australia
                [3 ]Institute of Photonics, Department of Physics, University of Strathclyde, ( https://ror.org/00n3w3b69) 99 George Street, Glasgow, UK
                [4 ]Department of Physics, Indian Institute of Science Education and Research, ( https://ror.org/028qa3n13) Dr. Homi Bhabha Road, Pune, Maharashtra India
                Author information
                http://orcid.org/0000-0002-1361-7259
                http://orcid.org/0000-0002-8856-3347
                http://orcid.org/0000-0003-3584-0635
                http://orcid.org/0000-0002-2368-2548
                Article
                47294
                10.1038/s41467-024-47294-5
                11006678
                38600090
                d9d3e4b3-b40b-44dd-bcf0-f1af2ebc8451
                © The Author(s) 2024

                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/.

                History
                : 20 February 2023
                : 21 March 2024
                Funding
                Funded by: FundRef https://doi.org/10.13039/501100001659, Deutsche Forschungsgemeinschaft (German Research Foundation);
                Award ID: AR 1128/1-1
                Award ID: AR 1128/1-2
                Award Recipient :
                Funded by: FundRef https://doi.org/10.13039/100005156, Alexander von Humboldt-Stiftung (Alexander von Humboldt Foundation);
                Categories
                Article
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                © Springer Nature Limited 2024

                Uncategorized
                two-dimensional materials,magneto-optics
                Uncategorized
                two-dimensional materials, magneto-optics

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