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The authors present electrical transport-based evidence of generalized Wigner crystal states in twisted bilayer MoSe₂ at fractional electron fillings ν = 2/5, 1/2, 3/5, 2/3, 8/9, 10/9, and 4/3, together with a Mott state at ν = 1. They further demonstrate continuous quantum melting transitions in a multi-parameter space of electron density, displacement and magnetic fields.

Nonlinear optical processes like higher-order harmonic generation in solids depend on several factors. Here the authors explore the optical nonlinearity of hexagonal boron nitride and find that enhanced nonlinearity is due to electron-phonon and phonon-polariton couplings.

Γ and K valleys in twisted transition metal dichalcogenides have emerged as highly tunable knobs for accessing different correlated electronic states in solid-state devices. Here, the authors tune a Mott-Hubbard state to a charge-transfer insulator state in twisted double-bilayer WSe₂.

A moiré-trapped charge density wave is observed at room temperature in a twisted transition metal dichalcogenide system and attributed to local strain variation due to atomic reconstruction.

Studies of twisted bilayer transition metal dichalcogenides have so far focused only on those containing group-VI metals. Here, the authors predict that twisted bilayers of ZrS₂, with the group-IV metal Zr, form an emergent moiré Kagome lattice with a uniquely strong spin-orbit coupling, leading to quantum-anomalous-Hall and fractional-Chern-insulating states.

2D MoS₂ is being intensively investigated as a promising candidate to extend the downscaling of electronic devices. Here, the authors report a buffer-layer-control method for the growth of wafer-scale single-crystalline MoS₂ monolayers on industry-compatible sapphire substrates with competitive optical and electronic properties.

Here, a combined experiment-theory framework based on different nano-imaging techniques and first-principle calculations is used to analyse the shapes of moiré patterns in twisted van der Waals structures, enabling an accurate description of the coupling between the atomically thin layers.

Twisted van der Waals systems are known to host flat electronic bands, originating from moire potential. Here, the authors predict from purely geometric considerations a new type of nearly dispersionless bands in twisted bilayer MoS₂, resulting from destructive interference between effective lattice hopping matrix elements.

Observations of an electronic nematic phase in twisted double bilayer graphene expand the number of moiré materials where this interaction-driven state exists.

Tunable correlated states are observed in twist bilayer WSe₂ over a range of twist angles, with signatures of superconductivity for a twist of 5.1°.

Plasmons depend strongly on dimensionality. Here the authors show that plasmons in atomically thin metals are qualitatively different from those in a 2D electron gas or metal slab: they are dispersionless at large wavevectors and, in systems such as monolayer TaS₂, long-lived enough to be observed experimentally as localized plasmon wave packets.

Moiré heterostructures have latterly captured the attention of condensed-matter physicists. This Review Article explores the idea of adopting them as a quantum simulation platform that enables the study of strongly correlated physics and topology in quantum materials.

Scanning tunnelling spectroscopy is used to map the atomic-scale electronic structure of magic-angle twisted bilayer graphene, finding multiple signatures of electron correlations and thus providing insight into the sought-after mechanism behind superconductivity in graphene.