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A mismatch of atomic registries between single-layer transition metal dichalcogenides (TMDs) in a two dimensional van der Waals heterostructure produces a moir\'e superlattice with a periodic potential, which can be fine-tuned by…

Van der Waals heterostructures obtained by artificially stacking two-dimensional crystals represent the frontier of material engineering, demonstrating properties superior to those of the starting materials. Fine control of the interlayer…

Twisted transition metal dichalcogenide (TMD) bilayers exhibit periodic moir\'e potentials, which can trap excitons at certain high-symmetry sites. At small twist angles, TMD lattices undergo an atomic reconstruction, altering the moir\'e…

Mesoscale and Nanoscale Physics · Physics 2024-11-26 Joakim Hagel , Samuel Brem , Ermin Malic

The discovery of unconventional ferroelectric behavior in twisted bilayers has prompted the consideration of moir\'e heterostructures as polar materials. However, misconceptions about the nature and origin of the observed ferroelectricity…

Mesoscale and Nanoscale Physics · Physics 2022-09-20 Daniel Bennett

Control of the interlayer twist angle in two-dimensional (2D) van der Waals (vdW) heterostructures enables one to engineer a quasiperiodic moir\'e superlattice of tunable length scale. In twisted bilayer graphene (TBG), the simple moir\'e…

The study of moir\'e engineering started with the advent of van der Waals heterostructures in which stacking two-dimensional layers with different lattice constants leads to a moir\'e pattern controlling their electronic properties. The…

Mesoscale and Nanoscale Physics · Physics 2023-08-28 F. Mesple , N. R. Walet , G. Trambly de Laissardière , F. Guinea , D. Dosenovic , H. Okuno , C. Paillet , A. Michon , C. Chapelier , V. T. Renard

We discover chiral phonons at the lowest-energy bands in moir\'e superlattices. The moir\'e chiral phonons we uncover are the collective excitations of the stacking domains. Their origin is uniquely attributed to the stacking configurations…

Mesoscale and Nanoscale Physics · Physics 2021-12-22 Nishchay Suri , Chong Wang , Yinhan Zhang , Di Xiao

Forming long wavelength moir\'e superlattices (MSL) at small-angle twist van der Waals (vdW) bilayers has been a key approach to creating moir\'e flat bands. The small-angle twist, however, leads to strong lattice reconstruction, causing…

We explore the flatness of conduction and valence bands of interlayer excitons in MoS$_2$/WSe$_2$ van der Waals heterobilayers, tuned by interlayer twist angle, pressure, and external electric field. We employ an efficient continuum model…

Mesoscale and Nanoscale Physics · Physics 2023-11-20 Sara Conti , Andrey Chaves , Tribhuwan Pandey , Lucian Covaci , François M. Peeters , David Neilson , Milorad V. Milošević

Encapsulation protects functional layers, ensuring structural stability and improving the quality of assembled van der Waals heterostructures. Here, we develop a model that describes lattice relaxation in twisted bilayers accounting for…

Mesoscale and Nanoscale Physics · Physics 2026-02-09 V. V. Enaldiev

The structural and electronic properties of twisted bilayer graphene are investigated from first principles and tight binding approach as a function of the twist angle (ranging from the first "magic" angle $\theta=1.08^\circ$ to…

Materials Science · Physics 2020-10-28 G. Cantele , D. Alfè , F. Conte , V. Cataudella , D. Ninno , P. Lucignano

Using multiscale modelling we investigate layer-breathing phonons in MX$_2$ bilayers (M=Mo,W; X=S,Se) containing dislocations specific for lattice-relaxed moir\'e superlattices. The dislocations, forming in the bilayers with parallel and…

Mesoscale and Nanoscale Physics · Physics 2025-07-14 V. V. Enaldiev

The recent surge of interest in moir\'e superlattices of twisted van der Waals compounds has spotlighted the emergence of unconventional superconductivity and novel electronic phases. However, the range of moir\'e phenomena can be…

Displacement fields are one of the main tuning knobs employed to engineer flat electronic band dispersions in twisted van der Waals multilayers. Here, we show that electric fields can also be used to tune the phonon dispersion of moir\'e…

Mesoscale and Nanoscale Physics · Physics 2025-01-20 Alejandro Ramos-Alonso , Benjamin Remez , Daniel Bennett , Rafael M. Fernandes , Hector Ochoa

Moir\'e structures in van der Waals heterostructures lead to emergent phenomena including superconductivity in twisted bilayer graphene and optically accessible strongly-correlated electron states in transition metal dichalcogenide…

Mesoscale and Nanoscale Physics · Physics 2020-09-17 Liam P. McDonnell , Jacob J. S. Viner , Pasqual Rivera , Antonio Cammarata , Huseyin S. Sen , Xiaodong Xu , David C. Smith

In recent years, van der Waals (vdW) heterostructures and homostructures, which consist of stacks of two-dimensional (2D) materials, have risen to prominence due to their association with exotic quantum phenomena. Atomistic scale relaxation…

Mesoscale and Nanoscale Physics · Physics 2023-09-15 Md Tusher Ahmed , Chenhaoyue Wang , Amartya S. Banerjee , Nikhil Chandra Admal

Moire patterns result from setting a 2D material such as graphene on another 2D material with a small twist angle or from the lattice mismatch of 2D heterostructures. We present a continuum model for the elastic energy of these bilayer…

Mathematical Physics · Physics 2023-03-28 Paul Cazeaux , Drake Clark , Rebecca Engelke , Philip Kim , Mitchell Luskin

We report the first observation of controlled, strain-induced square moire patterns in stacked graphene. By selectively displacing native wrinkles, we drive a reversible transition from the usual trigonal to square moire order. Scanning…

The unique physics found in moir\'e superlattices of twisted or lattice-mismatched atomic layers hold great promise for future quantum technologies. However, twisted configurations are typically thermodynamically unfavorable, making the…

Materials Science · Physics 2022-11-02 Matthieu Fortin-Deschênes , Kenji Watanabe , Takashi Taniguchi , Fengnian Xia

Model description of patterns of atomic displacements in twisted bilayer systems has been proposed. The model is based on the consideration of several dislocation ensembles, employing a language that is widely used for grain boundaries and…

Mesoscale and Nanoscale Physics · Physics 2020-09-02 Yu. N. Gornostyrev , M. I. Katsnelson