Topological Properties in a Λ/<em>V</em>-Type Dice Model
We studied a non-interacting <inline-formula><math display="inline"><semantics><mo>Λ</mo></semantics></math></inline-formula>/<i>V</i>-type dice model composed of three triangular sublattices. By considering the isotropic nearest-...
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| Format: | Article |
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MDPI AG
2021-04-01
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| Series: | Crystals |
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| Online Access: | https://www.mdpi.com/2073-4352/11/5/467 |
| _version_ | 1797536695225155584 |
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| author | Shujie Cheng Xianlong Gao |
| author_facet | Shujie Cheng Xianlong Gao |
| author_sort | Shujie Cheng |
| collection | DOAJ |
| description | We studied a non-interacting <inline-formula><math display="inline"><semantics><mo>Λ</mo></semantics></math></inline-formula>/<i>V</i>-type dice model composed of three triangular sublattices. By considering the isotropic nearest-neighbor hoppings and the next-nearest-neighbor hoppings with the phase, as well as the quasi-staggered on-site potential, we acquired the full phase diagrams under the different fillings of the energy bands. There are abundant topological non-trivial phases with different Chern numbers <inline-formula><math display="inline"><semantics><mrow><mi>C</mi><mo>=</mo><mo>±</mo><mn>1</mn></mrow></semantics></math></inline-formula>, as well as higher ones <inline-formula><math display="inline"><semantics><mrow><mo>±</mo><mn>2</mn><mo>,</mo><mo>±</mo><mn>3</mn></mrow></semantics></math></inline-formula> and a metal phase in several regimes. In addition, we also checked the bulk–edge correspondence of the system by analyzing the edge-state energy spectrum. |
| first_indexed | 2024-03-10T12:04:26Z |
| format | Article |
| id | doaj.art-182905e457164c9d8ad821ce2f3797e3 |
| institution | Directory Open Access Journal |
| issn | 2073-4352 |
| language | English |
| last_indexed | 2024-03-10T12:04:26Z |
| publishDate | 2021-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Crystals |
| spelling | doaj.art-182905e457164c9d8ad821ce2f3797e32023-11-21T16:39:44ZengMDPI AGCrystals2073-43522021-04-0111546710.3390/cryst11050467Topological Properties in a Λ/<em>V</em>-Type Dice ModelShujie Cheng0Xianlong Gao1Department of Physics, Zhejiang Normal University, Jinhua 321004, ChinaDepartment of Physics, Zhejiang Normal University, Jinhua 321004, ChinaWe studied a non-interacting <inline-formula><math display="inline"><semantics><mo>Λ</mo></semantics></math></inline-formula>/<i>V</i>-type dice model composed of three triangular sublattices. By considering the isotropic nearest-neighbor hoppings and the next-nearest-neighbor hoppings with the phase, as well as the quasi-staggered on-site potential, we acquired the full phase diagrams under the different fillings of the energy bands. There are abundant topological non-trivial phases with different Chern numbers <inline-formula><math display="inline"><semantics><mrow><mi>C</mi><mo>=</mo><mo>±</mo><mn>1</mn></mrow></semantics></math></inline-formula>, as well as higher ones <inline-formula><math display="inline"><semantics><mrow><mo>±</mo><mn>2</mn><mo>,</mo><mo>±</mo><mn>3</mn></mrow></semantics></math></inline-formula> and a metal phase in several regimes. In addition, we also checked the bulk–edge correspondence of the system by analyzing the edge-state energy spectrum.https://www.mdpi.com/2073-4352/11/5/467band structureshigh Chern numbersbulk-edge correspondence |
| spellingShingle | Shujie Cheng Xianlong Gao Topological Properties in a Λ/<em>V</em>-Type Dice Model Crystals band structures high Chern numbers bulk-edge correspondence |
| title | Topological Properties in a Λ/<em>V</em>-Type Dice Model |
| title_full | Topological Properties in a Λ/<em>V</em>-Type Dice Model |
| title_fullStr | Topological Properties in a Λ/<em>V</em>-Type Dice Model |
| title_full_unstemmed | Topological Properties in a Λ/<em>V</em>-Type Dice Model |
| title_short | Topological Properties in a Λ/<em>V</em>-Type Dice Model |
| title_sort | topological properties in a λ em v em type dice model |
| topic | band structures high Chern numbers bulk-edge correspondence |
| url | https://www.mdpi.com/2073-4352/11/5/467 |
| work_keys_str_mv | AT shujiecheng topologicalpropertiesinalemvemtypedicemodel AT xianlonggao topologicalpropertiesinalemvemtypedicemodel |