Extended Hubbard model describing small multi-dot arrays in bilayer graphene
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910583317594112 |
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| author | Knothe, Angelika Burkard, Guido |
| author_facet | Knothe, Angelika Burkard, Guido |
| contents | We set up and parametrize a Hubbard model for interacting quantum dots in bilayer graphene and study double dots as the smallest multi-dot system. We demonstrate the tunability of the spin and valley multiplets, Hubbard parameters, and effective exchange interaction by electrostatic gate potentials and the magnetic field. Considering both the long- and short-range Coulomb interaction, we map out the various spin and valley multiplets and calculate their energy gaps for different dot sizes and inter-dot separations. For half-filling and large valley splittings, we derive and parametrize an effective Heisenberg model for the quantum dot spins. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_09898 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Extended Hubbard model describing small multi-dot arrays in bilayer graphene Knothe, Angelika Burkard, Guido Mesoscale and Nanoscale Physics We set up and parametrize a Hubbard model for interacting quantum dots in bilayer graphene and study double dots as the smallest multi-dot system. We demonstrate the tunability of the spin and valley multiplets, Hubbard parameters, and effective exchange interaction by electrostatic gate potentials and the magnetic field. Considering both the long- and short-range Coulomb interaction, we map out the various spin and valley multiplets and calculate their energy gaps for different dot sizes and inter-dot separations. For half-filling and large valley splittings, we derive and parametrize an effective Heisenberg model for the quantum dot spins. |
| title | Extended Hubbard model describing small multi-dot arrays in bilayer graphene |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2401.09898 |