Sliding Luttinger Liquid and Topological Flat Bands in Symmetry Mismatched Moiré Interfaces
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866908387313188864 |
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| author | Sarma, Abhijat |
| author_facet | Sarma, Abhijat |
| contents | In this work we analyze a class of Moiré models consisting of an active honeycomb monolayer such as graphene or a hexagonal transition-metal dichalcogenide (TMD) on top of a substrate, in which the K and K' valleys of the active layer are folded near each other by a suitably chosen substrate geometry. Generalizing the so-called ``coupled-valley'' model of Scheer et al. [1], we start from a microscopic tight-binding description, deriving a continuum model from Schrieffer-Wolff perturbation theory and obtaining an effective description of the low-energy momentum states in either valley as well as the explicit microscopic forms of the Moiré potentials. We then consider two explicit symmetry-mismatched Moiré geometries with a rectangular substrate, the first of which displays an emergent time-reversal symmetry as well as a broad parameter regime which displays quasi-1D physics characterized by the existence of a Sliding Luttinger Liquid phase. This model also has a nontrivial topological character, captured by the Berry curvature dipole. The second geometry displays an emergent $C_3$ rotational symmetry despite the rectangular substrate, reducing to a continuum model considered in Ref. [1] that was shown to display honeycomb and Kagome topological flat bands. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_17973 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sliding Luttinger Liquid and Topological Flat Bands in Symmetry Mismatched Moiré Interfaces Sarma, Abhijat Mesoscale and Nanoscale Physics In this work we analyze a class of Moiré models consisting of an active honeycomb monolayer such as graphene or a hexagonal transition-metal dichalcogenide (TMD) on top of a substrate, in which the K and K' valleys of the active layer are folded near each other by a suitably chosen substrate geometry. Generalizing the so-called ``coupled-valley'' model of Scheer et al. [1], we start from a microscopic tight-binding description, deriving a continuum model from Schrieffer-Wolff perturbation theory and obtaining an effective description of the low-energy momentum states in either valley as well as the explicit microscopic forms of the Moiré potentials. We then consider two explicit symmetry-mismatched Moiré geometries with a rectangular substrate, the first of which displays an emergent time-reversal symmetry as well as a broad parameter regime which displays quasi-1D physics characterized by the existence of a Sliding Luttinger Liquid phase. This model also has a nontrivial topological character, captured by the Berry curvature dipole. The second geometry displays an emergent $C_3$ rotational symmetry despite the rectangular substrate, reducing to a continuum model considered in Ref. [1] that was shown to display honeycomb and Kagome topological flat bands. |
| title | Sliding Luttinger Liquid and Topological Flat Bands in Symmetry Mismatched Moiré Interfaces |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2412.17973 |