Ground state and excitations of quasiperiodic 1D narrow-band moiré systems: a mean field approach
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866918154651828224 |
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| author | Sobrosa, Nicolau Gonçalves, Miguel Amorim, Bruno Castro, Eduardo V. Ribeiro, Pedro |
| author_facet | Sobrosa, Nicolau Gonçalves, Miguel Amorim, Bruno Castro, Eduardo V. Ribeiro, Pedro |
| contents | We demonstrate that a mean field approximation can be confidently employed in quasiperiodic moiré systems to treat interactions and quasiperiodicity on equal footing. We obtain the mean field phase diagram for an illustrative one-dimensional moiré system that exhibits narrow bands and a regime with non-interacting multifractal critical states. By systematically comparing our findings with existing exact results, we identify the regimes where the mean field approximation provides an accurate description. Interestingly, in the critical regime, we obtain a quasifractal charge density wave, consistent with the exact results. To complement this study, we employ a real-space implementation of the time-dependent Hartree-Fock, enabling the computation of the excitation spectrum and response functions at the RPA level. These findings indicate that a mean field approximation to treat systems hosting multifractal critical states, as found in two-dimensional quasiperiodic moiré systems, is an appropriate methodology. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_04132 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ground state and excitations of quasiperiodic 1D narrow-band moiré systems: a mean field approach Sobrosa, Nicolau Gonçalves, Miguel Amorim, Bruno Castro, Eduardo V. Ribeiro, Pedro Strongly Correlated Electrons Disordered Systems and Neural Networks We demonstrate that a mean field approximation can be confidently employed in quasiperiodic moiré systems to treat interactions and quasiperiodicity on equal footing. We obtain the mean field phase diagram for an illustrative one-dimensional moiré system that exhibits narrow bands and a regime with non-interacting multifractal critical states. By systematically comparing our findings with existing exact results, we identify the regimes where the mean field approximation provides an accurate description. Interestingly, in the critical regime, we obtain a quasifractal charge density wave, consistent with the exact results. To complement this study, we employ a real-space implementation of the time-dependent Hartree-Fock, enabling the computation of the excitation spectrum and response functions at the RPA level. These findings indicate that a mean field approximation to treat systems hosting multifractal critical states, as found in two-dimensional quasiperiodic moiré systems, is an appropriate methodology. |
| title | Ground state and excitations of quasiperiodic 1D narrow-band moiré systems: a mean field approach |
| topic | Strongly Correlated Electrons Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2510.04132 |