Research paperTheoreticalSliding Luttinger Liquid and Topological Flat Bands in Symmetry Mismatched Moiré InterfacesAbhijat SarmaarXiv·2025·10.1073/pnas.1620140114·arXiv:2412.17973AbstractWe 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. Starting from a microscopic tight-binding description, we derive a continuum model from Schrieffer-Wolff perturbation theory and obtain explicit microscopic forms of the Moiré potentials. We then consider two symmetry-mismatched Moiré geometries with a rectangular substrate: one with an emergent time-reversal symmetry and a broad parameter regime displaying quasi-1D Sliding Luttinger Liquid physics and a nonzero Berry curvature dipole, and another with an emergent C₃ rotational symmetry that reduces to a continuum model previously shown to display honeycomb and Kagome topological flat bands.Read more
Research paperTheoreticalSliding Luttinger Liquid and Topological Flat Bands in Symmetry Mismatched Moiré InterfacesAbhijat SarmaarXiv·2025·10.1073/pnas.1620140114·arXiv:2412.17973AbstractWe 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. Starting from a microscopic tight-binding description, we derive a continuum model from Schrieffer-Wolff perturbation theory and obtain explicit microscopic forms of the Moiré potentials. We then consider two symmetry-mismatched Moiré geometries with a rectangular substrate: one with an emergent time-reversal symmetry and a broad parameter regime displaying quasi-1D Sliding Luttinger Liquid physics and a nonzero Berry curvature dipole, and another with an emergent C₃ rotational symmetry that reduces to a continuum model previously shown to display honeycomb and Kagome topological flat bands.Read more
Research paperTheoreticalSliding Luttinger Liquid and Topological Flat Bands in Symmetry Mismatched Moiré InterfacesAbhijat SarmaarXiv·2025·10.1073/pnas.1620140114·arXiv:2412.17973AbstractWe 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. Starting from a microscopic tight-binding description, we derive a continuum model from Schrieffer-Wolff perturbation theory and obtain explicit microscopic forms of the Moiré potentials. We then consider two symmetry-mismatched Moiré geometries with a rectangular substrate: one with an emergent time-reversal symmetry and a broad parameter regime displaying quasi-1D Sliding Luttinger Liquid physics and a nonzero Berry curvature dipole, and another with an emergent C₃ rotational symmetry that reduces to a continuum model previously shown to display honeycomb and Kagome topological flat bands.Read more
Research paperTheoreticalSliding Luttinger Liquid and Topological Flat Bands in Symmetry Mismatched Moiré InterfacesAbhijat SarmaarXiv·2025·10.1073/pnas.1620140114·arXiv:2412.17973AbstractWe 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. Starting from a microscopic tight-binding description, we derive a continuum model from Schrieffer-Wolff perturbation theory and obtain explicit microscopic forms of the Moiré potentials. We then consider two symmetry-mismatched Moiré geometries with a rectangular substrate: one with an emergent time-reversal symmetry and a broad parameter regime displaying quasi-1D Sliding Luttinger Liquid physics and a nonzero Berry curvature dipole, and another with an emergent C₃ rotational symmetry that reduces to a continuum model previously shown to display honeycomb and Kagome topological flat bands.Read more