Tunable $t-t'-U$ Hubbard models in twisted square homobilayers
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913894294880256 |
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| author | Eugenio, P. Myles Luo, Zhu-Xi Vishwanath, Ashvin Volkov, Pavel A. |
| author_facet | Eugenio, P. Myles Luo, Zhu-Xi Vishwanath, Ashvin Volkov, Pavel A. |
| contents | Square lattice Hubbard models with tunable hopping ratio $t'/t$ are highly promising for realizing a variety of quantum phases and for shedding light on key puzzles in correlated quantum materials, including higher-temperature superconductivity. We show that twisted square lattice homo-bilayers generically offer such tunability when the flat bands originate from the corner of the Brillouin zone. We reveal an emergent symmetry at low twist-angles, absent in single layers, that necessitates the vanishing of nearest neighbor hopping ($t=0$). This symmetry can be lifted by an inter-layer displacement field or by an in-plane magnetic field, introducing tunable $t$ and anisotropy, allowing access to a wide range of $t'/t$ ratios for correlated electrons on a moiré square lattice. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_02448 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tunable $t-t'-U$ Hubbard models in twisted square homobilayers Eugenio, P. Myles Luo, Zhu-Xi Vishwanath, Ashvin Volkov, Pavel A. Strongly Correlated Electrons Mesoscale and Nanoscale Physics Square lattice Hubbard models with tunable hopping ratio $t'/t$ are highly promising for realizing a variety of quantum phases and for shedding light on key puzzles in correlated quantum materials, including higher-temperature superconductivity. We show that twisted square lattice homo-bilayers generically offer such tunability when the flat bands originate from the corner of the Brillouin zone. We reveal an emergent symmetry at low twist-angles, absent in single layers, that necessitates the vanishing of nearest neighbor hopping ($t=0$). This symmetry can be lifted by an inter-layer displacement field or by an in-plane magnetic field, introducing tunable $t$ and anisotropy, allowing access to a wide range of $t'/t$ ratios for correlated electrons on a moiré square lattice. |
| title | Tunable $t-t'-U$ Hubbard models in twisted square homobilayers |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2406.02448 |