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The formation of a superstructure - with a related Moir\'e pattern - plays a crucial role in the extraordinary optical and electronic properties of twisted bilayer graphene, including the recently observed unconventional superconductivity.…

Moir\'e superlattices in two-dimensional (2D) materials exhibit rich quantum phenomena, but ab initio modelling of these systems remains computationally prohibitive. Existing machine learning methods for accelerating density-functional…

Materials Science · Physics 2026-02-11 Zekun Lou , Alan M. Lewis , Mariana Rossi

We report the infrared transmission measurement on electrically gated twisted bilayer graphene. The optical absorption spectrum clearly manifests the dramatic changes such as the splitting of inter-linear-band absorption step, the shift of…

Materials Science · Physics 2019-11-11 Kwangnam Yu , Van Luan Nguyen , Tae Soo Kim , Jiwon Jeon , Jiho Kim , Pilkyung Moon , Young Hee Lee , E. J. Choi

In moir\'e crystals formed by stacking van der Waals (vdW) materials, surprisingly diverse correlated electronic phases and optical properties can be realized by a subtle change in the twist angle. Here, we discover that phonon spectra are…

The localization of waves in two-dimensional clusters of scatterers arranged in relatively twisted lattices is studied by multiple scattering theory. It is found that, for a given frequency, it is always possible to find localized modes for…

Materials Science · Physics 2021-01-20 Dani Torrent , Marc Martí-Sabaté

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

The thickness vibrations of a finitely deformed infinite periodic laminate made out of two layers of dielectric elastomers is studied. The laminate is pre-stretched by inducing a bias electric field perpendicular the the layers. Incremental…

Soft Condensed Matter · Physics 2015-06-03 Gal Shmuel , Gal deBotton

Bloch's theorem is the centerpiece of topological band theory, which itself has defined an era of quantum materials research. However, Bloch's theorem is broken by a perpendicular magnetic field, making it difficult to study topological…

Mesoscale and Nanoscale Physics · Physics 2022-09-14 Jonah Herzog-Arbeitman , Aaron Chew , B. Andrei Bernevig

If we stack up two layers of graphene while changing their respective orientation by some twisting angle, we end up with a system that has striking differences when compared to single-layer graphene. For a very specific value of this twist…

Mesoscale and Nanoscale Physics · Physics 2024-09-18 Eduardo B. Molinero , Anushree Datta , María J. Calderón , Elena Bascones , Rui E. F. Silva

We study the effect of spatially modulated magnetic fields on the energy spectrum of a two-dimensional (2D) Bloch electron. Taking into account four kinds of modulated fields and using the method of direct diagonalization of the Hamiltonian…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Gi-Yeong Oh

Moir\'e superlattices are generally assumed to act only at the interface where lattice mismatch or twist occurs. Here, we study charge transport in large-angle helical twisted trilayer graphene, where interlayer tunneling is strongly…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 Dohun Kim , Junsik Choe , Takashi Taniguchi , Kenji Watanabe , Gil Young Cho , Youngwook Kim

Bloch oscillations (BO) in complex lattices with PT symmetry are theoretically investigated with specific reference to optical BO in photonic lattices with gain/loss regions. Novel dynamical phenomena with no counterpart in ordinary…

Other Condensed Matter · Physics 2010-01-08 S. Longhi

We investigate theoretically the interplay between the effects of a perpendicular electric field and incommensurability at the interface on the electronic properties of a heterostructure of bilayer graphene and a semiconducting substrate…

Mesoscale and Nanoscale Physics · Physics 2016-11-02 D. J. Leech , M. Mucha-Kruczyński

We theoretically study the effects of electron-electron interaction in twisted bilayer graphene in applied transverse dc electric field. When the twist angle is not very small, the electronic spectrum of the bilayer consists of four Dirac…

Strongly Correlated Electrons · Physics 2018-07-04 A. O. Sboychakov , A. V. Rozhkov , A. L. Rakhmanov , Franco Nori

We investigate the optical properties of interlayer excitons in heterobilayer transition metal dichalcogenides where moir\'e pattern is introduced by heterostrain, in comparison with that introduced by twisting (and/or lattice mismatch).…

Mesoscale and Nanoscale Physics · Physics 2021-10-20 Huiyuan Zheng , Dawei Zhai , Wang Yao

Two-dimensional ferroelectrics with robust polarization offer promising opportunities for non-volatile memory, field-effect transistors, and optoelectronic devices. However, the impact of lattice deformation on polarization and photoinduced…

Materials Science · Physics 2025-06-02 Kun Yang , Jianxin Yu , Jia Zhang , Sheng Meng , Jin Zhang

The complete lattice-layer entanglement structure of Bernal stacked bilayer graphene is obtained for the quantum system described by a tight-binding Hamiltonian which includes mass and bias voltage terms. Through a suitable correspondence…

Mesoscale and Nanoscale Physics · Physics 2017-05-23 Victor A. S. V. Bittencourt , Alex. E. Bernardini

In this Letter, we present experimental findings on electron-electron scattering in a two-dimensional moir'e heterostructure with tunable Fermi wave vector, reciprocal lattice vector, and band gap. We achieve this in high-mobility aligned…

We study the magnetic field induced Hofstadter butterfly in twisted bilayer graphene (TBG) in various kinds of situations. First, we study the equilibrium case and identify the interlayer hopping processes that are most crucial for the…

Mesoscale and Nanoscale Physics · Physics 2022-04-04 Nadia Benlakhouy , Ahmed Jellal , Hocine Bahlouli , Michael Vogl

This is a short review of the recent progresses on Hofstadter butterfly in graphene, organized in the following. We first briefly introduce the Hofstadter butterfly, including the theoretic toy model of Bloch electrons in the magnetic…

Mesoscale and Nanoscale Physics · Physics 2024-02-02 Wei Yang , Guangyu Zhang
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