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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,…

Strongly Correlated Electrons · Physics 2020-03-02 D. M. Kennes , L. Xian , M. Claassen , A. Rubio

Moire materials exhibit diverse quantum properties such as superconductivity and correlated topo logical phases, making them ideal for studying strongly correlated systems. While moire materials are typically formed by stacking…

Strongly Correlated Electrons · Physics 2024-10-08 Depeng Ji , Qiaoling Xu , Lede Xian

Twisted bilayers of two-dimensional (2D) materials have emerged as a highly tunable platform to study and engineer properties of excitons. However, the atomistic description of these properties has remained a significant challenge as a…

Materials Science · Physics 2025-03-13 Indrajit Maity , Arash A. Mostofi , Johannes Lischner

The long wavelength moir\'e superlattices in twisted 2D structures have emerged as a highly tunable platform for strongly correlated electron physics. We study the moir\'e bands in twisted transition metal dichalcogenide homobilayers,…

Mesoscale and Nanoscale Physics · Physics 2021-11-19 Trithep Devakul , Valentin Crépel , Yang Zhang , Liang Fu

Moir\'e superlattices in twisted bilayers enable profound reconstructions of the electronic bandstructure, giving rise to correlated states with remarkable tunability. Extending this paradigm to van der Waals magnets, twisting creates…

Inter-twisted bilayers of two-dimensional (2D) materials can host low-energy flat bands, which offer opportunity to investigate many intriguing physics associated with strong electron correlations. In the existing systems, ultra-flat bands…

Computational Physics · Physics 2022-03-01 Shengdan Tao , Xuanlin Zhang , Jiaojiao Zhu , Pimo He , Shengyuan A. Yang , Yunhao Lu , Su-Huai Wei

Transition metal dichalcogenide (TMD) bilayers with an interlayer twist exhibit a moire super-period, whose effects can manifest in both structural and electronic properties. Atomic displacements can lead to reconstruction into domains of…

Materials Science · Physics 2025-10-23 Madeleine Phillips , C. Stephen Hellberg

We determine the phase diagram of a bilayer, Yao-Lee spin-orbital model with inter-layer interactions (J), for several stackings and moir\'e superlattices. For AA stacking, a gapped Z2 quantum spin liquid phase emerges at a finite Jc. We…

Strongly Correlated Electrons · Physics 2023-02-17 Emilian Nica , Muhammad Akram , Aayush Vijayvargia , Roderich Moessner , Onur Erten

We have explored the electronic properties of stacked graphene flakes with the help of the quantum chemistry methods. We found that the behavior of a bilayer system is governed by the strength of the repulsive interactions that arise…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Julia Berashevich , Tapash Chakraborty

Moir\'e superstructures arising at twisted 2D interfaces have recently attracted the attention of the scientific community due to exotic quantum states and unique mechanical and tribological behaviors that they exhibit. Here, we predict the…

Mesoscale and Nanoscale Physics · Physics 2025-01-16 Andrea Silva , Xiang Gao , Melisa M. Gianetti , Roberto Guerra , Nicola Manini , Andrea Vanossi , Michael Urbakh , Oded Hod

We present comprehensive theoretical studies on the lattice relaxation and the electronic structures in general non-symemtric twisted trilayer graphenes. By using an effective continuum model, we show that the relaxed lattice structure…

Mesoscale and Nanoscale Physics · Physics 2025-04-30 Naoto Nakatsuji , Takuto Kawakami , Mikito Koshino

We derive a general low-energy theory for twisted moir\'e heterostructures comprised of Dirac materials. We apply our theory to heterostructures on the surface of a three dimensional topological insulator (3D TI). First, we consider the…

Strongly Correlated Electrons · Physics 2023-02-21 Aaron Dunbrack , Jennifer Cano

Moir\'e patterns in magnetic bilayers generate spatially modulated interlayer exchange interactions that can give rise to nonuniform magnetic textures. We study a minimal classical bilayer Ising model with a moir\'e-modulated interlayer…

Statistical Mechanics · Physics 2026-01-29 Ryan Flynn , Anders W. Sandvik

In twisted bilayers of semiconducting transition metal dichalcogenides (TMDs), a combination of structural rippling and electronic coupling gives rise to periodic moir\'e potentials that can confine charged and neutral excitations. Here, we…

Mesoscale and Nanoscale Physics · Physics 2021-05-04 Sara Shabani , Dorri Halbertal , Wenjing Wu , Mingxing Chen , Song Liu , James Hone , Wang Yao , Dmitri N. Basov , Xiaoyang Zhu , Abhay N. Pasupathy

In the present work, we consider the excitonic effects in the twisted bilayer graphene (tBLG) within the rotated bilayer Hubbard model. Both, intralayer and interlayer Coulomb interactions have been considered and the half-filling condition…

Mesoscale and Nanoscale Physics · Physics 2022-01-25 V. Apinyan , T. K. Kopeć

Quantum materials that host a flat band, such as pseudospin-1 lattices and magic-angle twisted bilayer graphene, can exhibit drastically new physical phenomena including unconventional superconductivity, orbital ferromagnetism, and Chern…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Hong-Ya Xu , Ying-Cheng Lai

Layered two-dimensional (2D) materials exhibit unique properties, expanding opportunities in material design. We investigate MX$_2$ transition metal dichalcogenides (TMDCs) (M = Mo, W; X = S, Se, Te) in homo- and heterobilayers with…

Materials Science · Physics 2025-03-13 Yu-Hsiu Lin , William P. Comaskey , Jose L. Mendoza-Cortes

We study the electronic and topological properties of fully relaxed twisted bilayer (TBG) and double bilayer (TDBG) graphene under perpendicular pressure. An approach has been proposed to obtain the equilibrium in-plane structural…

Mesoscale and Nanoscale Physics · Physics 2020-07-20 Xianqing Lin , Haotian Zhu , Jun Ni

Two-dimensional (2D) moire systems based on twisted bilayer graphene and transition metal dichalcogenides provide a promising platform to investigate emergent phenomena driven by strong electron-electron interactions in partially-filled…

Materials Science · Physics 2023-11-28 Ya-Ning Ren , Hui-Ying Ren , Kenji Watanabe , Takashi Taniguchi , Lin He

Twisted bilayer two-dimensional transition-metal dichalgocenides (TMDCs) exhibit a range of novel phenomena such as the formation of moir\'e excitons and strongly correlated phases. The coupling between the layers is crucial for the…

Materials Science · Physics 2024-09-27 Eileen Schneider , Kenji Watanabe , Takashi Taniguchi , Janina Maultzsch