Evolution of quasiparticle edge states with Hubbard interaction in Rice-Mele chain
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866916923738947584 |
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| author | Bisht, Jyoti Kumar, Brijesh |
| author_facet | Bisht, Jyoti Kumar, Brijesh |
| contents | We study the behaviour of edge states in Rice-Mele model with Hubbard interaction, U , at half-filling using density matrix renormalization group, exact diagonalization and effective charge dynamics in Kumar representation. For a fixed dimerization, $δ$, and staggered potential, V , we find by increasing U the quasiparticle edge states in the charge gap to come down in energy from V in the absence of Hubbard interaction to zero energy for U $\approx$ 2V . This presents an uncommon case where repulsion leads to zero-energy edge states. Upon increasing U further, the edge state energy starts increasing again until they are lost in the bulk. However, upon increasing U even further, these edge states reappear in the high energy gap. So, with Hubbard interaction, the edge states in Rice-Mele chain transmigrate from the physical charge gap to a high energy gap. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_21008 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Evolution of quasiparticle edge states with Hubbard interaction in Rice-Mele chain Bisht, Jyoti Kumar, Brijesh Strongly Correlated Electrons We study the behaviour of edge states in Rice-Mele model with Hubbard interaction, U , at half-filling using density matrix renormalization group, exact diagonalization and effective charge dynamics in Kumar representation. For a fixed dimerization, $δ$, and staggered potential, V , we find by increasing U the quasiparticle edge states in the charge gap to come down in energy from V in the absence of Hubbard interaction to zero energy for U $\approx$ 2V . This presents an uncommon case where repulsion leads to zero-energy edge states. Upon increasing U further, the edge state energy starts increasing again until they are lost in the bulk. However, upon increasing U even further, these edge states reappear in the high energy gap. So, with Hubbard interaction, the edge states in Rice-Mele chain transmigrate from the physical charge gap to a high energy gap. |
| title | Evolution of quasiparticle edge states with Hubbard interaction in Rice-Mele chain |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2508.21008 |