Non-Trivial Band Topology Criteria for Magneto-Spin–Orbit Graphene
Band structure and topology of magneto-spin–orbit graphene is investigated using the proposed tight-binding model that incorporates both Rashba and sublattice-resolved collinear exchange couplings in a generic ferrimagnetic (FIM) setting for in-plane and out-of-plane magnetization directions. The re...
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MDPI AG
2023-02-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/15/2/516 |
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| author | Alexander V. Eryzhenkov Artem V. Tarasov Alexander M. Shikin Artem G. Rybkin |
| author_facet | Alexander V. Eryzhenkov Artem V. Tarasov Alexander M. Shikin Artem G. Rybkin |
| author_sort | Alexander V. Eryzhenkov |
| collection | DOAJ |
| description | Band structure and topology of magneto-spin–orbit graphene is investigated using the proposed tight-binding model that incorporates both Rashba and sublattice-resolved collinear exchange couplings in a generic ferrimagnetic (FIM) setting for in-plane and out-of-plane magnetization directions. The resulting band structures were analyzed for possibilities to extract the strengths of exchange and Rashba couplings from experimental spin-resolved ARPES measurements of the valley gaps and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>π</mi></semantics></math></inline-formula>-state spin-splittings. It was shown that the topologically trivial in-plane FIM situation admits simple expressions for these quantities, whereas the out-of-plane FIM, which admits a nontrivial band topology, is harder to analyze. The obtained topological phase diagrams for the out-of-plane FIM case show that the anomalous Hall conductance is quite stable with respect to the antiferromagnetic (AFM) interaction, which tends to interfere with the QAHE phase; moreover, the topological phase transition has a rather smooth character with respect to the AFM coupling strength. |
| first_indexed | 2024-03-11T08:04:37Z |
| format | Article |
| id | doaj.art-2be65d59fba046d08b90d8102892f03c |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-11T08:04:37Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-2be65d59fba046d08b90d8102892f03c2023-11-16T23:34:22ZengMDPI AGSymmetry2073-89942023-02-0115251610.3390/sym15020516Non-Trivial Band Topology Criteria for Magneto-Spin–Orbit GrapheneAlexander V. Eryzhenkov0Artem V. Tarasov1Alexander M. Shikin2Artem G. Rybkin3Department of Physics, Saint Petersburg State University, 198504 Saint Petersburg, RussiaDepartment of Physics, Saint Petersburg State University, 198504 Saint Petersburg, RussiaDepartment of Physics, Saint Petersburg State University, 198504 Saint Petersburg, RussiaDepartment of Physics, Saint Petersburg State University, 198504 Saint Petersburg, RussiaBand structure and topology of magneto-spin–orbit graphene is investigated using the proposed tight-binding model that incorporates both Rashba and sublattice-resolved collinear exchange couplings in a generic ferrimagnetic (FIM) setting for in-plane and out-of-plane magnetization directions. The resulting band structures were analyzed for possibilities to extract the strengths of exchange and Rashba couplings from experimental spin-resolved ARPES measurements of the valley gaps and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>π</mi></semantics></math></inline-formula>-state spin-splittings. It was shown that the topologically trivial in-plane FIM situation admits simple expressions for these quantities, whereas the out-of-plane FIM, which admits a nontrivial band topology, is harder to analyze. The obtained topological phase diagrams for the out-of-plane FIM case show that the anomalous Hall conductance is quite stable with respect to the antiferromagnetic (AFM) interaction, which tends to interfere with the QAHE phase; moreover, the topological phase transition has a rather smooth character with respect to the AFM coupling strength.https://www.mdpi.com/2073-8994/15/2/516magneto-spin–orbit grapheneARPESexchange couplingferrimagnetismRashba coupling |
| spellingShingle | Alexander V. Eryzhenkov Artem V. Tarasov Alexander M. Shikin Artem G. Rybkin Non-Trivial Band Topology Criteria for Magneto-Spin–Orbit Graphene Symmetry magneto-spin–orbit graphene ARPES exchange coupling ferrimagnetism Rashba coupling |
| title | Non-Trivial Band Topology Criteria for Magneto-Spin–Orbit Graphene |
| title_full | Non-Trivial Band Topology Criteria for Magneto-Spin–Orbit Graphene |
| title_fullStr | Non-Trivial Band Topology Criteria for Magneto-Spin–Orbit Graphene |
| title_full_unstemmed | Non-Trivial Band Topology Criteria for Magneto-Spin–Orbit Graphene |
| title_short | Non-Trivial Band Topology Criteria for Magneto-Spin–Orbit Graphene |
| title_sort | non trivial band topology criteria for magneto spin orbit graphene |
| topic | magneto-spin–orbit graphene ARPES exchange coupling ferrimagnetism Rashba coupling |
| url | https://www.mdpi.com/2073-8994/15/2/516 |
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