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Twisted bilayers of two-dimensional materials, such as twisted bilayer graphene, often feature flat electronic bands that enable the observation of electron correlation effects. In this work, we study the electronic structure of twisted…

Materials Science · Physics 2021-05-18 Valerio Vitale , Kemal Atalar , Arash A. Mostofi , Johannes Lischner

We present a systematic theoretical study on the structural and electronic properties of twisted trilayer transition metal dichalcogenide (TMD) WSe$_2$, where two independent moir\'e patterns form between adjacent layers. Using a continuum…

Mesoscale and Nanoscale Physics · Physics 2025-12-19 Naoto Nakatsuji , Takuto Kawakami , Hayato Tateishi , Koichiro Kato , Mikito Koshino

Twisted multilayers of two-dimensional (2D) materials are an increasingly important platform for investigating quantum phases of matter, and in particular, strongly correlated electrons. The moir\'e pattern introduced by the relative twist…

Materials Science · Physics 2023-01-11 Mattia Angeli , Gabriel R. Schleder , Efthimios Kaxiras

Twisted homobilayer transition metal dichalcogenides - specifically twisted bilayer MoTe$_2$ and twisted bilayer WSe$_2$ - have recently emerged as a versatile platform for strongly correlated and topological phases of matter. These…

Strongly Correlated Electrons · Physics 2026-03-10 Bohao Li , Wen-Xuan Qiu , Fengcheng Wu , A. H. MacDonald

We study the topological bands in twisted bilayer transition metal dichalcogenides in an external magnetic field. We first focus on a paradigmatic model of WSe$_2$, which can be described in an adiabatic approximation as particles moving in…

Mesoscale and Nanoscale Physics · Physics 2024-09-11 Kryštof Kolář , Kang Yang , Felix von Oppen , Christophe Mora

Many of the important phases observed in twisted transition metal dichalcogenide homobilayers are driven by short-range interactions, which should be captured by a local tight binding description since no Wannier obstruction exists for…

Strongly Correlated Electrons · Physics 2024-10-02 Valentin Crépel , Andrew Millis

Lattice reconstruction in twisted transition-metal dichalcogenide (TMD) bilayers gives rise to piezo- and ferroelectric moir\'e potentials for electrons and holes, as well as a modulation of the hybridisation across the bilayer. Here, we…

Mesoscale and Nanoscale Physics · Physics 2021-09-30 S. J. Magorrian , V. V. Enaldiev , V. Zólyomi , Fábio Ferreira , Vladimir I. Fal'ko , David A. Ruiz-Tijerina

Moir\'e superlattices in van der Waals heterostructures provide a tunable platform to study emergent properties that are absent in the natural crystal form. Twisted bilayer transition metal dichalcogenides (TB-TMDs) can host moir\'e flat…

Mesoscale and Nanoscale Physics · Physics 2021-09-27 En Li , Jin-Xin Hu , Xuemeng Feng , Zishu Zhou , Liheng An , Kam Tuen Law , Ning Wang , Nian Lin

Cross-plane thermal conductivity in homogeneous transition metal dichalcogenides (TMDs) exhibits a strong dependence on twist angle, originating from atomic reconstruction within moir\'e superlattices. This reconstruction redistributes…

Materials Science · Physics 2025-05-02 Wenwu Jiang , Ting Liang , Hekai Bu , Jianbin Xu , Wengen Ouyang

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

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

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

We investigate a simplified continuum model of a twisted homotrilayer TMD with negligible next-nearest layer couplings. We systematically analyze band structure and topology of various stacking configurations in a twist angle range from…

Mesoscale and Nanoscale Physics · Physics 2023-10-10 Hassan AlBuhairan , Michael Vogl

Topological flat bands formed in two-dimensional lattice systems offer unique opportunity to study the fractional phases of matter in the absence of an external magnetic field. Celebrated examples include fractional quantum anomalous Hall…

Recent experiments discovered fractional Chern insulator states at zero magnetic field in twisted bilayer MoTe$_2$ [C23,Z23] and WSe$_2$ [MD23]. In this article, we study the MacDonald Hamiltonian for twisted transition metal…

Mathematical Physics · Physics 2024-01-12 Simon Becker , Mengxuan Yang

The crystal structure of a material creates a periodic potential that electrons move through giving rise to the electronic band structure of the material. When two-dimensional materials are stacked, the twist angle between the layers…

Strongly Correlated Electrons · Physics 2020-07-07 Zhiming Zhang , Yimeng Wang , Kenji Watanabe , Takashi Taniguchi , Keiji Ueno , Emanuel Tutuc , Brian J. LeRoy

We introduce a generalizable, physics informed strategy for generating training data that enables a machine learning force field accurate over a broad range of twist angles and stacking layer numbers in moire systems. Applying this to…

Materials Science · Physics 2025-11-26 Yueyao Fan , Xiao-Wei Zhang , Yusen Ye , Xiaoyu Liu , Chong Wang , Kaijie Yang , Di Xiao , Ting Cao

The twist angle in transition metal dichalcogenide (TMD) heterobilayers is a compelling degree of freedom that determines electron correlations and the period of lateral confinement of moir\'e excitons. Here we perform polarization-resolved…

Motivated by recent experimental observations of opposite Chern numbers in $R$-type twisted MoTe$_2$ and WSe$_2$ homobilayers, we perform large-scale density-functional-theory (DFT) calculations with machine learning force fields to…

Materials Science · Physics 2024-05-21 Xiao-Wei Zhang , Chong Wang , Xiaoyu Liu , Yueyao Fan , Ting Cao , Di Xiao

Twisted homobilayer transition metal dichalcogenide (TMD) offers a versatile platform for exploring band topology, interaction-driven phases, and magnetic orders. We study the interaction-driven phases in twisted TMD homobilayers and their…

Strongly Correlated Electrons · Physics 2024-09-12 Taige Wang , Trithep Devakul , Michael P. Zaletel , Liang Fu
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