Research paperReviewTheoreticalReview of the tight-binding method applicable to the properties of moiré superlatticesXueheng Kuang, Federico Escudero, Pierre A. Pantaleón, Francisco Guine et al.arXiv·2025·10.1039/D5CP03472H·arXiv:2511.04899AbstractMoiré superlattices provide a versatile platform for exotic quantum phenomena, but realistic systems are challenging to model because of large atomic scales and lattice relaxation. This review surveys atomistic tight-binding Hamiltonians and numerical techniques for graphene-based, TMD-based, and hBN-based moiré superlattices, and discusses links between tight-binding descriptions, density-functional theory, and continuum models. Two example applications illustrate the use of tight-binding methods for electronic, transport, and optical properties of moiré materials.Read more
Research paperReviewTheoreticalReview of the tight-binding method applicable to the properties of moiré superlatticesXueheng Kuang, Federico Escudero, Pierre A. Pantaleón, Francisco Guine et al.arXiv·2025·10.1039/D5CP03472H·arXiv:2511.04899AbstractMoiré superlattices provide a versatile platform for exotic quantum phenomena, but realistic systems are challenging to model because of large atomic scales and lattice relaxation. This review surveys atomistic tight-binding Hamiltonians and numerical techniques for graphene-based, TMD-based, and hBN-based moiré superlattices, and discusses links between tight-binding descriptions, density-functional theory, and continuum models. Two example applications illustrate the use of tight-binding methods for electronic, transport, and optical properties of moiré materials.Read more
Research paperReviewTheoreticalReview of the tight-binding method applicable to the properties of moiré superlatticesXueheng Kuang, Federico Escudero, Pierre A. Pantaleón, Francisco Guine et al.arXiv·2025·10.1039/D5CP03472H·arXiv:2511.04899AbstractMoiré superlattices provide a versatile platform for exotic quantum phenomena, but realistic systems are challenging to model because of large atomic scales and lattice relaxation. This review surveys atomistic tight-binding Hamiltonians and numerical techniques for graphene-based, TMD-based, and hBN-based moiré superlattices, and discusses links between tight-binding descriptions, density-functional theory, and continuum models. Two example applications illustrate the use of tight-binding methods for electronic, transport, and optical properties of moiré materials.Read more
Research paperReviewTheoreticalReview of the tight-binding method applicable to the properties of moiré superlatticesXueheng Kuang, Federico Escudero, Pierre A. Pantaleón, Francisco Guine et al.arXiv·2025·10.1039/D5CP03472H·arXiv:2511.04899AbstractMoiré superlattices provide a versatile platform for exotic quantum phenomena, but realistic systems are challenging to model because of large atomic scales and lattice relaxation. This review surveys atomistic tight-binding Hamiltonians and numerical techniques for graphene-based, TMD-based, and hBN-based moiré superlattices, and discusses links between tight-binding descriptions, density-functional theory, and continuum models. Two example applications illustrate the use of tight-binding methods for electronic, transport, and optical properties of moiré materials.Read more
