Square lattice model with staggered magnetic fluxes: zero Chern number topological states and topological flat bands
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912262158024704 |
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| author | Chen, Li-Xiang Guan, Dong-Hao Qi, Lu Zhang, Xiuyun Han, Ying He, Ai-Lei |
| author_facet | Chen, Li-Xiang Guan, Dong-Hao Qi, Lu Zhang, Xiuyun Han, Ying He, Ai-Lei |
| contents | Staggered magnetic fluxes (SMF) play a crucial role in achieving Chern insulators (CIs), by which a series of CI models have been established on various lattices. In addition, SMF induced higher-order topological insulator (HOTI) in a lattice model has been reported. In this work, we propose a square lattice model with SMF. We find intracellular SMF can induce zero-Chern-number topological insulator (ZCNTI) at quarter filling which hosts topologically protected edge states characterized by the quantized polarization, in analogy to the topological state in two dimensional Su-Schrieffer-Hegger model. When lattice dimerization and intracellular SMF are introduced, there exists HOTI state at half filling. Furthermore, this model hosts topological flat band (TFB) by considering the next-nearest-neighbor hoppings. Several fractional Chern insulator states are investigated when hard-core bosons are filled into this TFB model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_04161 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Square lattice model with staggered magnetic fluxes: zero Chern number topological states and topological flat bands Chen, Li-Xiang Guan, Dong-Hao Qi, Lu Zhang, Xiuyun Han, Ying He, Ai-Lei Strongly Correlated Electrons Staggered magnetic fluxes (SMF) play a crucial role in achieving Chern insulators (CIs), by which a series of CI models have been established on various lattices. In addition, SMF induced higher-order topological insulator (HOTI) in a lattice model has been reported. In this work, we propose a square lattice model with SMF. We find intracellular SMF can induce zero-Chern-number topological insulator (ZCNTI) at quarter filling which hosts topologically protected edge states characterized by the quantized polarization, in analogy to the topological state in two dimensional Su-Schrieffer-Hegger model. When lattice dimerization and intracellular SMF are introduced, there exists HOTI state at half filling. Furthermore, this model hosts topological flat band (TFB) by considering the next-nearest-neighbor hoppings. Several fractional Chern insulator states are investigated when hard-core bosons are filled into this TFB model. |
| title | Square lattice model with staggered magnetic fluxes: zero Chern number topological states and topological flat bands |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2503.04161 |