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Due to the exchange proximity effect from one side and spin-orbit proximity effect from the other side of graphene, such a structure is referred to as graphene based \u2019ex-so-tic\u2019 structure. First, we derive an effective Hamiltonian describing the low-energy states of the structure. Then, using the Green\u2019s function formalism, we obtain analytical results for the Hall conductivities as a function of the Fermi energy and gate voltage. For specific values of these parameters, we find a quantized valley Hall conductivity.<\/jats:p>","DOI":"10.1038\/s41598-024-74596-x","type":"journal-article","created":{"date-parts":[[2024,10,11]],"date-time":"2024-10-11T09:02:04Z","timestamp":1728637324000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Intrinsic anomalous, spin and valley Hall effects in \u2019ex-so-tic\u2019 van-der-Waals structures"],"prefix":"10.1038","volume":"14","author":[{"given":"I.","family":"Wojciechowska","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"A.","family":"Dyrda\u0142","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2024,10,11]]},"reference":[{"key":"74596_CR1","doi-asserted-by":"publisher","first-page":"12787","DOI":"10.1039\/D3NR01288C","volume":"15","author":"K-H Jin","year":"2023","unstructured":"Jin, K.-H., Jiang, W., Sethi, G. & Liu, F. 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