Systematic analysis for triple points in all magnetic symmorphic systems and symmetry-allowed coexistence of Dirac points and triple points
Similar to Weyl fermions, a recently discovered topological fermion ‘triple point’ can be generated from the splitting of Dirac fermion in the systems with inversion symmetry (IS) breaking or time-reversal symmetry (TRS) breaking. Inducing triple points in IS breaking symmorphic systems have been we...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2018-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/aaf11d |
| _version_ | 1797750528912916480 |
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| author | Chi-Ho Cheung R C Xiao Ming-Chien Hsu Huei-Ru Fuh Yeu-Chung Lin Ching-Ray Chang |
| author_facet | Chi-Ho Cheung R C Xiao Ming-Chien Hsu Huei-Ru Fuh Yeu-Chung Lin Ching-Ray Chang |
| author_sort | Chi-Ho Cheung |
| collection | DOAJ |
| description | Similar to Weyl fermions, a recently discovered topological fermion ‘triple point’ can be generated from the splitting of Dirac fermion in the systems with inversion symmetry (IS) breaking or time-reversal symmetry (TRS) breaking. Inducing triple points in IS breaking symmorphic systems have been well studied, but the same cannot be said for the TRS breaking symmorphic systems. In this work, we extend the theory of searching for triple points to all symmorphic magnetic systems. We list among all symmorphic systems all the k paths which allow the existence of triple points. With this systematic study, we also found that the coexistence of Dirac points and triple points is allowed in some particular symmetric systems. Besides theoretical analysis, we carried out numerical analysis as well. According to our first-principles calculations, ${B}_{3}{{Re}}_{7}$ and ${{As}}_{2}{{Ni}}_{5}$ are the candidates for realizing the coexistence of Dirac and triple points. We have not only provided an exhaustive triple point search mechanism for the symmorphic systems, but also identified material systems that host the Dirac and the triple points. |
| first_indexed | 2024-03-12T16:34:04Z |
| format | Article |
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| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:34:04Z |
| publishDate | 2018-01-01 |
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| series | New Journal of Physics |
| spelling | doaj.art-01f2d780d25045c194f480faf16131812023-08-08T14:56:56ZengIOP PublishingNew Journal of Physics1367-26302018-01-01201212300210.1088/1367-2630/aaf11dSystematic analysis for triple points in all magnetic symmorphic systems and symmetry-allowed coexistence of Dirac points and triple pointsChi-Ho Cheung0https://orcid.org/0000-0002-3927-2914R C Xiao1https://orcid.org/0000-0001-8085-2251Ming-Chien Hsu2Huei-Ru Fuh3Yeu-Chung Lin4Ching-Ray Chang5Graduate Institute of Applied Physics, National Taiwan University , Taipei 10617, Taiwan; Wuhan National High Magnetic Field Center and School of Physics, Huazhong University of Science and Technology , Wuhan 430074, People’s Republic of ChinaKey Laboratory of Materials Physics, Institute of Solid State Physics , Chinese Academy of Sciences, Hefei 230031, People’s Republic of People’s Republic of China; School of Physical Science and Technology and Institute for Advanced Study, Soochow University , Suzhou 215006, People’s Republic of ChinaNational Sun Yat-sen University , Department of Physics Kaohsiung, TaiwanYuan Ze University , Department of Chemical Engineering and Materials Science Chung-Li, Taoyuan, TaiwanDepartment of Physics, National Taiwan University , Taipei 10617, TaiwanDepartment of Physics, National Taiwan University , Taipei 10617, TaiwanSimilar to Weyl fermions, a recently discovered topological fermion ‘triple point’ can be generated from the splitting of Dirac fermion in the systems with inversion symmetry (IS) breaking or time-reversal symmetry (TRS) breaking. Inducing triple points in IS breaking symmorphic systems have been well studied, but the same cannot be said for the TRS breaking symmorphic systems. In this work, we extend the theory of searching for triple points to all symmorphic magnetic systems. We list among all symmorphic systems all the k paths which allow the existence of triple points. With this systematic study, we also found that the coexistence of Dirac points and triple points is allowed in some particular symmetric systems. Besides theoretical analysis, we carried out numerical analysis as well. According to our first-principles calculations, ${B}_{3}{{Re}}_{7}$ and ${{As}}_{2}{{Ni}}_{5}$ are the candidates for realizing the coexistence of Dirac and triple points. We have not only provided an exhaustive triple point search mechanism for the symmorphic systems, but also identified material systems that host the Dirac and the triple points.https://doi.org/10.1088/1367-2630/aaf11dtopological materialsDirac fermionselectronic structureWeyl fermionstopological phase transitiontriple points |
| spellingShingle | Chi-Ho Cheung R C Xiao Ming-Chien Hsu Huei-Ru Fuh Yeu-Chung Lin Ching-Ray Chang Systematic analysis for triple points in all magnetic symmorphic systems and symmetry-allowed coexistence of Dirac points and triple points New Journal of Physics topological materials Dirac fermions electronic structure Weyl fermions topological phase transition triple points |
| title | Systematic analysis for triple points in all magnetic symmorphic systems and symmetry-allowed coexistence of Dirac points and triple points |
| title_full | Systematic analysis for triple points in all magnetic symmorphic systems and symmetry-allowed coexistence of Dirac points and triple points |
| title_fullStr | Systematic analysis for triple points in all magnetic symmorphic systems and symmetry-allowed coexistence of Dirac points and triple points |
| title_full_unstemmed | Systematic analysis for triple points in all magnetic symmorphic systems and symmetry-allowed coexistence of Dirac points and triple points |
| title_short | Systematic analysis for triple points in all magnetic symmorphic systems and symmetry-allowed coexistence of Dirac points and triple points |
| title_sort | systematic analysis for triple points in all magnetic symmorphic systems and symmetry allowed coexistence of dirac points and triple points |
| topic | topological materials Dirac fermions electronic structure Weyl fermions topological phase transition triple points |
| url | https://doi.org/10.1088/1367-2630/aaf11d |
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