Interaction-controlled localization in one-dimensional chain: From edges to domain walls
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866914535155171328 |
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| author | Samanta, Rahul Ganguly, Sudin Maiti, Santanu K. |
| author_facet | Samanta, Rahul Ganguly, Sudin Maiti, Santanu K. |
| contents | Using Hartree-Fock mean-field approach, we study the role of on-site ($U$) and extended ($V$) Hubbard interactions on the existence and evolution of edge modes in a half-filled Su-Schrieffer-Heeger (SSH) chain. We analyze the energy spectrum, local probability amplitudes, and site-resolved charge and spin density profiles across topological, critical, and trivial hopping regimes. We find that the localization of bound states is controlled by the ratio $2V/U$, with edge spin-density-wave modes for $U>2V$ and mid-chain charge-density-wave domain walls for $U<2V$, independent of band topology. These results establish the correlation-driven origin of localized states in finite one-dimensional chains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_05064 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Interaction-controlled localization in one-dimensional chain: From edges to domain walls Samanta, Rahul Ganguly, Sudin Maiti, Santanu K. Strongly Correlated Electrons Mesoscale and Nanoscale Physics Computational Physics Using Hartree-Fock mean-field approach, we study the role of on-site ($U$) and extended ($V$) Hubbard interactions on the existence and evolution of edge modes in a half-filled Su-Schrieffer-Heeger (SSH) chain. We analyze the energy spectrum, local probability amplitudes, and site-resolved charge and spin density profiles across topological, critical, and trivial hopping regimes. We find that the localization of bound states is controlled by the ratio $2V/U$, with edge spin-density-wave modes for $U>2V$ and mid-chain charge-density-wave domain walls for $U<2V$, independent of band topology. These results establish the correlation-driven origin of localized states in finite one-dimensional chains. |
| title | Interaction-controlled localization in one-dimensional chain: From edges to domain walls |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics Computational Physics |
| url | https://arxiv.org/abs/2605.05064 |