Moiré Ferroelectricity-Driven Band Engineering in Twisted Square Bilayers
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866914397722509312 |
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| author | Bao, Kejie Shi, Rui Wang, Huan Huang, Linghao Wang, Jing |
| author_facet | Bao, Kejie Shi, Rui Wang, Huan Huang, Linghao Wang, Jing |
| contents | We develop the moiré band theory for M-valley twisted square homobilayers with layer groups $P$-$42m$ and $P$-$4m2$, and propose candidate material realizations. We show that moiré ferroelectricity-originating from sliding ferroelectricity in the untwisted bilayers-provides an independent control knob for miniband engineering in addition to interlayer tunneling. The competition between these two effects enables controlled switching between layer-resolved bilayer minibands and an effective single isolated miniband. Remarkably, these systems exhibit an emergent momentum-space nonsymmorphic symmetry in the absence of external magnetic fields. Large-scale \emph{ab initio} calculations identify Cu$_2$WS$_4$ and GeCl$_2$ as representative materials realizing the ferroelectricity- and tunneling-dominated regimes, respectively. Our results establish twisted square homobilayers as a promising platform for correlated band engineering beyond moiré hexagonal systems. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_15140 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Moiré Ferroelectricity-Driven Band Engineering in Twisted Square Bilayers Bao, Kejie Shi, Rui Wang, Huan Huang, Linghao Wang, Jing Mesoscale and Nanoscale Physics Materials Science Strongly Correlated Electrons We develop the moiré band theory for M-valley twisted square homobilayers with layer groups $P$-$42m$ and $P$-$4m2$, and propose candidate material realizations. We show that moiré ferroelectricity-originating from sliding ferroelectricity in the untwisted bilayers-provides an independent control knob for miniband engineering in addition to interlayer tunneling. The competition between these two effects enables controlled switching between layer-resolved bilayer minibands and an effective single isolated miniband. Remarkably, these systems exhibit an emergent momentum-space nonsymmorphic symmetry in the absence of external magnetic fields. Large-scale \emph{ab initio} calculations identify Cu$_2$WS$_4$ and GeCl$_2$ as representative materials realizing the ferroelectricity- and tunneling-dominated regimes, respectively. Our results establish twisted square homobilayers as a promising platform for correlated band engineering beyond moiré hexagonal systems. |
| title | Moiré Ferroelectricity-Driven Band Engineering in Twisted Square Bilayers |
| topic | Mesoscale and Nanoscale Physics Materials Science Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2603.15140 |