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Information × Registration Number 0224U000455, 0120U104778 , R & D reports Title Topological phases of matter and excitations in Dirac materials, Josephson junctions and magnets popup.stage_title Head Sharapov Sergei H., Доктор фізико-математичних наук Registration Date 08-01-2024 Organization М.М.Bogolyubov Institute of Theoretical Physics of the National Academy of Sciences of Ukraine popup.description2  The report is based on 12 articles in the international journals of the first and second quartiles, 2 chapters in monographs and 1 preprint. The following main results were obtained. Using analytical and numerical methods, the edge states on a graphene nanoribbon of finite width and semi-infinite geometry, which is in a perpendicular magnetic field and an electric field in the plane of the nanoribbon applied perpendicular to the zigzag edge, were investigated. For the first time, the so-called dispersionless mode was obtained analytically. Existence conditions for the flat bands in the pseudospin-1 quasiparticle spectrum in the one-dimension system that is described by the Dirac equation with the three-component potential is obtained. The plasmon spectrum of the quasi-one-dimensional Josephson transmission line that consists of N junction rows is found. In the unbiased case there are N degenerate bands with the frequency that coincides with the Josephson plasma frequency while the rest of the bands are dispersive. When external bias is applied the degeneracy is lifted and only one band remains flat. It is shown that depending on the radius of the antiferromagnetic ring and the amplitude of the external magnetic field, one of the three equilibrium distributions of the Neel parameter is realized. The density of states and orbital susceptibility of tetragraphene were calculated, and the possibility of a diamagnetism-paramagnetism phase transition was established, which can be verified experimentally. Product Description popup.authors Bukatova Daryna V Herasymchuk Arsen Gusynin Valery Pavlovych Zolotaryuk Yaroslav O. Oliinyk Artem Oleksandrovych Starodub Ivan O Fesh Andrii popup.nrat_date 2024-01-08 Close