Magnetic properties of moiré quantum dot arrays
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866917710847279104 |
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| author | Pasek, Weronika Kupczyński, Michał Potasz, Paweł |
| author_facet | Pasek, Weronika Kupczyński, Michał Potasz, Paweł |
| contents | We investigate magnetic properties of quantum dot arrays of moiré triangular superlattices. Starting from a reciprocal space model, we use the projection technique to obtain maximally localized Wannier functions and determine generalized Hubbard model parameters. The many-body Hamiltonian is solved using the exact diagonalization method as a function of the number of electrons in differently shaped quantum dots arrays. Finite spin polarization is observed within a wide range of filling factors for small twist angles and sufficiently strong interactions in most of the studied structures. The prospect for a magnetization controlled by applying a displacement field is presented. In the vicinity of half-filling, signatures of Nagaoka ferromagnetism in moiré materials are seen, which we demonstrate by comparing results with the corresponding on-site Hubbard model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_04636 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Magnetic properties of moiré quantum dot arrays Pasek, Weronika Kupczyński, Michał Potasz, Paweł Strongly Correlated Electrons Mesoscale and Nanoscale Physics We investigate magnetic properties of quantum dot arrays of moiré triangular superlattices. Starting from a reciprocal space model, we use the projection technique to obtain maximally localized Wannier functions and determine generalized Hubbard model parameters. The many-body Hamiltonian is solved using the exact diagonalization method as a function of the number of electrons in differently shaped quantum dots arrays. Finite spin polarization is observed within a wide range of filling factors for small twist angles and sufficiently strong interactions in most of the studied structures. The prospect for a magnetization controlled by applying a displacement field is presented. In the vicinity of half-filling, signatures of Nagaoka ferromagnetism in moiré materials are seen, which we demonstrate by comparing results with the corresponding on-site Hubbard model. |
| title | Magnetic properties of moiré quantum dot arrays |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2208.04636 |