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We develop a theory for long wavelength phonons originating at dislocations separating domains in small-angle twisted homobilayers of 2D materials such as graphene and MX$_2$ transition metal dichalcogenides (M=Mo,W; X=S,Se). We find that…

Mesoscale and Nanoscale Physics · Physics 2025-02-25 V. V. Enaldiev

Long-period moir\'e superlattices at the twisted interface of van der Waals heterostructures relax into preferential-stacking domains separated by dislocation networks. Here, we develop a mesoscale theory for dislocations in the networks…

Mesoscale and Nanoscale Physics · Physics 2024-04-30 V. V. Enaldiev

The creation of moir\'e superlattices in twisted bilayers of two-dimensional crystals has been utilised to engineer quantum material properties in graphene and transition metal dichalcogenide (TMD) semiconductors. Here, we examine the…

Mesoscale and Nanoscale Physics · Physics 2024-05-27 J. G. McHugh , V. V. Enaldiev , V. I. Fal'ko

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

We theoretically study in-plane acoustic phonons of graphene/hexagonal boron nitride moir\'e superlattice by using a continuum model. We demonstrate that the original phonon bands of individual layers are strongly hybridized and…

Mesoscale and Nanoscale Physics · Physics 2023-03-03 Lukas P. A. Krisna , Mikito Koshino

Twisted bilayer transition metal dichalcogenides are ideal platforms to study flat-band phenomena. In this paper, we investigate flat-band plasmons in the hole-doped twisted bilayer MoS$_2$ (tb-MoS$_2$) by employing a full tight-binding…

Mesoscale and Nanoscale Physics · Physics 2022-07-13 Xueheng Kuang , Zhen Zhan , Shengjun Yuan

We apply a multiscale modeling approach to study lattice reconstruction in marginally twisted bilayers of transition metal dichalcogenides (TMD). For this, we develop DFT-parametrized interpolation formulae for interlayer adhesion energies…

Mesoscale and Nanoscale Physics · Physics 2020-05-21 V. V. Enaldiev , V. Zólyomi , C. Yelgel , S. J. Magorrian , V. I. Fal'ko

Motivated by the recent discovery of superconductivity in twisted bilayer WSe$_2$, we analyze the correlated physics in this system in the framework of a continuum model for the moir\'e superlattice. Using the symmetries in a fine-tuned…

Superconductivity · Physics 2025-09-09 Maine Christos , Pietro M. Bonetti , Mathias S. Scheurer

We study nonlinear phonon excitations in a one-dimensional quantum nonlinear lattice model using numerical exact diagonalization. We find that multi-phonon bound states exist as eigenstates which are natural counterparts of breather…

Condensed Matter · Physics 2009-10-28 W. Z. Wang , J. Tinka Gammel , A. R. Bishop , M. I. Salkola

On a two-dimensional planar parity-time-($\mathcal{PT}$-)symmetric nonlinear magnetic metamaterial, consisting of split-ring dimers with balanced gain and loss, discrete breather solutions can be found. We extend these studies and by…

Pattern Formation and Solitons · Physics 2019-12-25 Sascha Böhrkircher , Sebastian Erfort , Holger Cartarius , Günter Wunner

The elastic collective modes of a moir\'e superlattice arise not from vibrations of a rigid crystal but from the relative displacement between the constituent layers. Despite their similarity to acoustic phonons, these modes, called…

Mesoscale and Nanoscale Physics · Physics 2022-02-23 Héctor Ochoa , Rafael M. Fernandes

We theoretically investigate the dynamics of a floating lipid bilayer membrane coupled with a two-dimensional cytoskeleton network, taking into explicitly account the intermonolayer friction, the discrete lattice structure of the…

Soft Condensed Matter · Physics 2017-08-02 Ryuichi Okamoto , Shigeyuki Komura , Jean-Baptiste Fournier

Ultraflat bands in twisted bilayers of two-dimensional materials have potential to host strong correlations, including the Mott-insulating phase at half-filling of the band. Using first principles density functional theory calculations, we…

Materials Science · Physics 2019-01-02 Mit H. Naik , Manish Jain

Twisted bilayer systems with discrete magic angles, such as twisted bilayer graphene featuring moir\'{e} superlattices, provide a versatile platform for exploring novel physical properties. Here, we discover a class of superflat bands in…

Optics · Physics 2022-05-31 Hongfei Wang , Shaojie Ma , Shuang Zhang , Dangyuan Lei

We develop an analytical theory for lattice relaxation in twisted moir\'e heterobilayers, accounting for lattice mismatch, twist, external biaxial heterostrain, and different elastic constants. Starting from continuum elasticity, we derive…

Mesoscale and Nanoscale Physics · Physics 2026-05-19 Christophe De Beule , Yiyang Lai , Liangtao Peng , Daniel Bennett , Shaffique Adam

Moir\'e superlattices hosting flat bands and correlated states have emerged as a focal topic in condensed matter research. Through first-principles calculations, we investigate three-dimensional flat bands in alternating twisted NbSe$_2$…

Superconductivity · Physics 2026-05-08 Shuang Liu , Peng Chen , Shihao Zhang

We study the in-plane acoustic phonons in twisted bilayer graphenes using the effective continuum approach. We calculate the phonon modes by solving the continuum equation of motion for infinitesimal vibration around the static relaxed…

Mesoscale and Nanoscale Physics · Physics 2019-08-19 Mikito Koshino , Young-Woo Son

The moir\'e superlattice of misaligned atomic bilayers paves the way for designing a new class of materials with wide tunability. In this work, we propose a photonic analog of the moir\'e superlattice based on dielectric resonator…

Mesoscale and Nanoscale Physics · Physics 2023-05-09 Chang-Hwan Yi , Hee Chul Park , Moon Jip Park

The coupling of the electron system to lattice vibrations and their time-dependent control and detection provides unique insight into the non-equilibrium physics of semiconductors. Here, we investigate the ultrafast transient response of…

It has recently been shown that quantum-confined states can appear in epitaxially grown van der Waals material heterobilayers without a rotational misalignment ($\theta=0^\circ$), associated with flat bands in the Brillouin zone of the…

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