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Experimental advances in the fabrication and characterization of few-layer materials stacked at a relative twist of small angle have recently shown the emergence of flat energy bands. As a consequence electron interactions become relevant,…

强关联电子 · 物理学 2020-03-02 D. M. Kennes , L. Xian , M. Claassen , A. Rubio

The electronic properties of the twisted InSe bilayer are studied by large-scale density functional theory. Spectral Function Unfolding reveals that the electronic structure of the twisted system can be described in terms of a combination…

材料科学 · 物理学 2022-02-28 Siow Mean Loh , Nicholas D. M. Hine

The low symmetry and anistropic lattice of 1T$'$ WTe$_2$ is responsible for the existence of parallel one-dimensional channels in the moir\'e patterns of twisted bilayers. This gives the opportunity to explore moir\'e physics of a different…

材料科学 · 物理学 2024-07-11 Samuel J. Magorrian , Nicholas D. M. Hine

Twisted graphene bilayers show a complex electronic structure, further modified by interaction effects. The main features can be obtained from effective models, which make use a few phenomenological parameters. We analyze the influence of…

强关联电子 · 物理学 2019-03-04 Niels R. Walet , Francisco Guinea

We theoretically study the electronic structure of magic-angle twisted bilayer graphene with disordered moir\'e patterns. By using an extended continuum model incorporating non-uniform lattice distortion, we find that the local density of…

介观与纳米尺度物理 · 物理学 2022-06-29 Naoto Nakatsuji , Mikito Koshino

In twisted bilayer graphene (TBG) a moir\'e pattern forms that introduces a new length scale to the material. At the 'magic' twist angle of 1.1{\deg}, this causes a flat band to form, yielding emergent properties such as correlated…

The moir\'e superlattice system provides an excellent platform for exploring various novel quantum phenomena. To theoretically tackle the diverse correlated and topological states emerging from moir\'e superlattices, one usually adopts an…

介观与纳米尺度物理 · 物理学 2025-09-16 Bo Xie , Jianqi Huang , Jianpeng Liu

We construct an analytic continuum model to describe the electronic structure and the electron-phonon interaction in twisted bilayer graphenes with arbitrary lattice deformation. Starting from the tight-binding model, we derive the…

介观与纳米尺度物理 · 物理学 2020-05-20 Mikito Koshino , Nguyen N. T. Nam

We derive BM-like continuum models for the bands of superlattice heterostructures formed out of Fe-chalcogenide monolayers: (${\bf\text I}$) a single monolayer experiencing an external periodic potential, and (${\bf\text II}$) twisted…

强关联电子 · 物理学 2023-08-30 P. Myles Eugenio , Oskar Vafek

We study the influence of strong spin-orbit interaction on the formation of flat bands in relaxed twisted bilayer WSe$_2$. Flat bands, well separated in energy, emerge at the band edges for twist angles ($\theta$) near 0$^{\circ}$ and…

材料科学 · 物理学 2022-02-23 Sudipta Kundu , Mit H. Naik , H. R. Krishnamurthy , Manish Jain

We study, within the tight-binding approximation, the electronic properties of a graphene bilayer in the presence of an external electric field applied perpendicular to the system -- \emph{biased bilayer}. The effect of the perpendicular…

Using the method developed in the companion paper, we construct the effective continuum theories for two different microscopic tight binding models of the twisted bilayer graphene at the twist angle of $1.05^\circ$, one Slater-Koster based…

强关联电子 · 物理学 2023-02-24 Jian Kang , Oskar Vafek

Twisted bilayer MoTe$_2$ (tMoTe$_2$) is an emergent platform for exploring exotic quantum phases driven by the interplay between nontrivial band topology and strong electron correlations. Direct experimental access to its momentum-resolved…

Topological flat bands at the Fermi level offer a promising platform to study a variety of intriguing correlated phase of matter. Here we present band engineering in the twisted orbital-active bilayers with spin-orbit coupling. The symmetry…

介观与纳米尺度物理 · 物理学 2022-09-15 Huan Wang , Yadong Jiang , Zhaochen Liu , Jing Wang

We generalize the continuum model for Moir\'e structures made from twisted graphene layers, in order to include lattice relaxation and the formation of channels at very small (marginal) twist angles. We show that a precise description of…

强关联电子 · 物理学 2020-02-19 Niels R. Walet , Francisco Guinea

Twisted bilayers of two-dimensional (2D) materials are proving a fertile ground for investigating strongly correlated electron phases. This is because the moir\'e pattern introduced by the relative twist between layers introduces…

材料科学 · 物理学 2021-10-13 Hao Tang , Stephen Carr , Efthimios Kaxiras

Large-scale moir\'e systems are extraordinarily sensitive, with even minute atomic shifts leading to significant changes in electronic structures. Here, we investigate the lattice relaxation effect on moir\'e band structures in twisted…

强关联电子 · 物理学 2024-08-15 Ning Mao , Cheng Xu , Jiangxu Li , Ting Bao , Peitao Liu , Yong Xu , Claudia Felser , Liang Fu , Yang Zhang

Band engineering in twisted bilayers of the five generic two-dimensional Bravais networks is demonstrated. We first derive symmetry-based constraints on the interlayer coupling, which helps us to predict and understand the shape of the…

强关联电子 · 物理学 2019-11-13 Toshikaze Kariyado , Ashvin Vishwanath

A twist between two systems offers the possibility to drastically change the underlying physical properties. To that end, we study the bandstructure of twisted moir\'e potentials in detail. At sets of commensurate twisting angles, the low…

量子气体 · 物理学 2025-04-11 Dean Johnstone , Shanya Mishra , Zhaoxuan Zhu , Laurent Sanchez-Palencia

We provide a systematic real space derivation of the continuum Hamiltonian for a graphene bilayer starting from a microscopic lattice theory, allowing for an arbitrary inhomogeneous smooth lattice deformation, including a twist. Two…

强关联电子 · 物理学 2023-02-24 Oskar Vafek , Jian Kang
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