{ "id": "2201.04801", "version": "v2", "published": "2022-01-13T05:45:32.000Z", "updated": "2022-03-07T00:21:30.000Z", "title": "Magnetoelectricity in two-dimensional materials", "authors": [ "Yìlè Yīng", "Ulrich Zülicke" ], "comment": "29 pages, 7 figures, final version. Please read and cite alongside the published journal article whose quality was compromised by unfortunate slips in the production process", "journal": "Advances in Physics: X 7, 2032343 (2022)", "doi": "10.1080/23746149.2022.2032343", "categories": [ "cond-mat.mes-hall" ], "abstract": "Since the initial isolation of few-layer graphene, a plethora of two-dimensional atomic crystals has become available, covering almost all known materials types including metals, semiconductors, superconductors, ferro- and antiferromagnets. These advances have augmented the already existing variety of two-dimensional materials that are routinely realized by quantum confinement in bulk-semiconductor heterostructures. This review focuses on the type of material for which two-dimensional realizations are still being actively sought: magnetoelectrics. We present an overview of current theoretical expectation and experimental progress towards fabricating low-dimensional versions of such materials that can be magnetized by electric charges and polarized electrically by an applied magnetic field - unusual electromagnetic properties that could be the basis for various useful applications. The interplay between spatial confinement and magnetoelectricity is illustrated using the paradigmatic example of magnetic-monopole fields generated by electric charges in or near magnetoelectric media. For the purpose of this discussion, the image-charge method familiar from electrostatics is extended to solve the boundary-value problem for a magnetoelectric medium in the finite-width slab geometry using image dyons, i.e., point objects having both electric and magnetic charges. We discuss salient features of the magnetoelectrically induced fields arising in the thin-width limit.", "revisions": [ { "version": "v2", "updated": "2022-03-07T00:21:30.000Z" } ], "analyses": { "keywords": [ "two-dimensional materials", "magnetoelectricity", "magnetoelectric medium", "electric charges", "image-charge method familiar" ], "tags": [ "journal article" ], "publication": { "publisher": "Taylor-Francis" }, "note": { "typesetting": "TeX", "pages": 29, "language": "en", "license": "arXiv", "status": "editable" } } }