Evolution of the Chern Gap in Kagome Magnet HoMn<sub>6</sub>Sn<sub>6−x</sub>Ge<sub>x</sub>
The Chern gap is a unique topological feature that can host non-abelian particles. The Kagome lattice hosts Chern fermions. Upon the inclusion of magnetism, the Kagome system hosts a Chern gap at the K points in the lattice. In this work, the effect of Ge doping on HoMn<inline-formula><math...
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2022-06-01
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| Series: | Condensed Matter |
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| Online Access: | https://www.mdpi.com/2410-3896/7/2/40 |
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| author | Christopher Sims |
| author_facet | Christopher Sims |
| author_sort | Christopher Sims |
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| description | The Chern gap is a unique topological feature that can host non-abelian particles. The Kagome lattice hosts Chern fermions. Upon the inclusion of magnetism, the Kagome system hosts a Chern gap at the K points in the lattice. In this work, the effect of Ge doping on HoMn<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>6</mn></msub></semantics></math></inline-formula>Sn<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>6</mn></msub></semantics></math></inline-formula> is investigated. It is seen that with increased doping, a multi-stack Chern gap in formed in HoMn<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>6</mn></msub></semantics></math></inline-formula>Sn<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mrow><mn>6</mn><mo>−</mo><mi>x</mi></mrow></msub></semantics></math></inline-formula>Ge<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mi>x</mi></msub></semantics></math></inline-formula>. In addition, the Chern gaps are much more pronounced and disperse more in energy in HoMn<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>6</mn></msub></semantics></math></inline-formula>Ge<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>6</mn></msub></semantics></math></inline-formula> then in HoMn<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>6</mn></msub></semantics></math></inline-formula>Sn<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>6</mn></msub></semantics></math></inline-formula>. |
| first_indexed | 2024-03-10T00:04:45Z |
| format | Article |
| id | doaj.art-daeca9b86e5142cf8d1f98c9bc150c6b |
| institution | Directory Open Access Journal |
| issn | 2410-3896 |
| language | English |
| last_indexed | 2024-03-10T00:04:45Z |
| publishDate | 2022-06-01 |
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| record_format | Article |
| series | Condensed Matter |
| spelling | doaj.art-daeca9b86e5142cf8d1f98c9bc150c6b2023-11-23T16:10:17ZengMDPI AGCondensed Matter2410-38962022-06-01724010.3390/condmat7020040Evolution of the Chern Gap in Kagome Magnet HoMn<sub>6</sub>Sn<sub>6−x</sub>Ge<sub>x</sub>Christopher Sims0School of Electrical and Computer Engineering, Purdue University, West Lafayette, IN 47907, USAThe Chern gap is a unique topological feature that can host non-abelian particles. The Kagome lattice hosts Chern fermions. Upon the inclusion of magnetism, the Kagome system hosts a Chern gap at the K points in the lattice. In this work, the effect of Ge doping on HoMn<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>6</mn></msub></semantics></math></inline-formula>Sn<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>6</mn></msub></semantics></math></inline-formula> is investigated. It is seen that with increased doping, a multi-stack Chern gap in formed in HoMn<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>6</mn></msub></semantics></math></inline-formula>Sn<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mrow><mn>6</mn><mo>−</mo><mi>x</mi></mrow></msub></semantics></math></inline-formula>Ge<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mi>x</mi></msub></semantics></math></inline-formula>. In addition, the Chern gaps are much more pronounced and disperse more in energy in HoMn<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>6</mn></msub></semantics></math></inline-formula>Ge<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>6</mn></msub></semantics></math></inline-formula> then in HoMn<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>6</mn></msub></semantics></math></inline-formula>Sn<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>6</mn></msub></semantics></math></inline-formula>.https://www.mdpi.com/2410-3896/7/2/40Kagomefractional chargetopologicalmagnets |
| spellingShingle | Christopher Sims Evolution of the Chern Gap in Kagome Magnet HoMn<sub>6</sub>Sn<sub>6−x</sub>Ge<sub>x</sub> Condensed Matter Kagome fractional charge topological magnets |
| title | Evolution of the Chern Gap in Kagome Magnet HoMn<sub>6</sub>Sn<sub>6−x</sub>Ge<sub>x</sub> |
| title_full | Evolution of the Chern Gap in Kagome Magnet HoMn<sub>6</sub>Sn<sub>6−x</sub>Ge<sub>x</sub> |
| title_fullStr | Evolution of the Chern Gap in Kagome Magnet HoMn<sub>6</sub>Sn<sub>6−x</sub>Ge<sub>x</sub> |
| title_full_unstemmed | Evolution of the Chern Gap in Kagome Magnet HoMn<sub>6</sub>Sn<sub>6−x</sub>Ge<sub>x</sub> |
| title_short | Evolution of the Chern Gap in Kagome Magnet HoMn<sub>6</sub>Sn<sub>6−x</sub>Ge<sub>x</sub> |
| title_sort | evolution of the chern gap in kagome magnet homn sub 6 sub sn sub 6 x sub ge sub x sub |
| topic | Kagome fractional charge topological magnets |
| url | https://www.mdpi.com/2410-3896/7/2/40 |
| work_keys_str_mv | AT christophersims evolutionofthecherngapinkagomemagnethomnsub6subsnsub6xsubgesubxsub |