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2D Theoretically Twistable Material Database
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The study of twisted two-dimensional (2D) materials, where twisting layers create moir\'e superlattices, has opened new opportunities for investigating topological phases and strongly correlated physics. While systems such as twisted bilayer graphene (TBG) and twisted transition metal dichalcogenides (TMDs) have been extensively studied, the broader potential of a seemingly infinite set of other twistable 2D materials remains largely unexplored. In this paper, we define "theoretically twistable materials" as single- or multi-layer structures that allow for the construction of simple continuum models of their moir\'e structures. This excludes, for example, materials with a "spaghetti" of bands or those with numerous crossing points at the Fermi level, for which theoretical moir\'e modeling is unfeasible. We present a high-throughput algorithm that systematically searches for theoretically twistable semimetals and insulators based on the Topological 2D Materials Database. By analyzing key electronic properties, we identify thousands of new candidate materials that could host rich topological and strongly correlated phenomena when twisted. We propose representative twistable materials for realizing different types of moir\'e systems, including materials with different Bravais lattices, valleys, and strength of spin-orbital coupling. We provide examples of crystal growth for several of these materials and showcase twisted bilayer band structures along with simplified twisted continuum models. Our results significantly broaden the scope of moir\'e heterostructures and provide a valuable resource for future experimental and theoretical studies on novel moir\'e systems.
Forward citations
Cited by 7 Pith papers
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Organizing Principles for Moir\'e Quantum Matter
Parent valley momentum, orbital content and moiré symmetry jointly organize emergent flat-band Hubbard, topological and quasi-1D models across all 2D lattice classes.
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Robustness of real-space topology in moir\'e systems
The real-space Chern number of ensembles of Bloch states is robust and symmetry-forced to be nonzero in twisted TMDs and twisted bilayer graphene.
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Extended s-wave superconductivity in M-point twisted bilayer SnSe2
FRG simulations predict that AB-stacked twisted bilayer SnSe2 hosts spin-fluctuation-mediated extended s-wave superconductivity upon doping an antiferromagnetic state at half filling.
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A Catalogue of Topological Moir\'{e} Bands in Twisted Semiconductors
Parent valley character plus stacking symmetry, not chemistry, organizes bandwidth scaling and topological bands across more than 1,000 twisted semiconductor moiré structures.
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Helical Domain-Wall-Ring Networks Reshape Superconducting Correlations
In helical domain-wall-ring networks, self-consistent finite-size calculations show inter-ring phase locking is strongly suppressed even where infinite-size RG predicts strong coupling, while the SC scaling dimension ...
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Emergent Interacting Phases in the Strong Coupling Limit of Twisted M-Valley Moir\'e Systems: Application to SnSe${}_2$
Twisted SnSe2 realizes quasi-1D triangular (AA) and kagome (AB) interacting models with predicted dimer, valence-bond-solid, and frustrated spin-liquid phases.
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Movable Dirac Points with Ferroelectrics: Kink States and Berry Curvature Dipoles
Movable Dirac points in ferroelectric 2D materials control topological kink-state conductance and switch the Berry-curvature-dipole-induced second-harmonic Hall conductivity.
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