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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

Van der Waals heterostructures have recently emerged as an exciting platform for investigating the effects of strong electronic correlations, including various forms of magnetic or electrical orders. Here, we perform an unbiased exact…

Strongly Correlated Electrons · Physics 2024-07-15 Ahmed Abouelkomsan , Emil J. Bergholtz , Shubhayu Chatterjee

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

Helical trilayer graphene (hTG) exhibits a supermoir\'e pattern with large domains centered around stacking points ABA and BAB, where two well-separated low-energy bands appear with different total Chern numbers at each valley, forming a…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 Anushree Datta , Daniele Guerci , Mark O. Goerbig , Christophe Mora

Recent experimental discovery of fractional Chern insulator in moir\'e Chern band in twisted transition metal dichalocogenide homobilayers has sparked intensive interest in exploring the ways of engineering band topology and correlated…

Strongly Correlated Electrons · Physics 2024-05-22 Xiaoyang Shen , Chonghao Wang , Ruiping Guo , Zhiming Xu , Wenhui Duan , Yong Xu

The interplay between non-trivial topology and strong electron interaction can generate a variety of exotic quantum matter. Here we theoretically propose that monolayer transition metal trihalides MoF$_3$ and W$X_3$ ($X$= Cl, Br, I) have…

Mesoscale and Nanoscale Physics · Physics 2025-05-28 Kejie Bao , Huan Wang , Jiaxuan Guo , Yadong Jiang , Haosheng Xu , Jing Wang

Twisted multilayer transition metal dichalcogenides (TMDs) are a promising platform for realizing topological exciton phases. Here we propose that twisted TMD heterotrilayers WX$_2$/MX$_2$/WX$_2$ with layer symmetry represents a realistic…

Mesoscale and Nanoscale Physics · Physics 2025-04-15 Ze-Hong Guo , Tao Yan , Jin-Zhu Zhao , Yuan-Jun Jin , Qizhong Zhu

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

While transition metal dichalcogenide (TMD) based moire materials have been shown to host various correlated electronic phenomena, topological states have not been experimentally observed until now. In this work, using first principles…

Strongly Correlated Electrons · Physics 2021-10-04 Yang Zhang , Trithep Devakul , Liang Fu

Magic-angle helical trilayer graphene relaxes into commensurate moir\'e domains, whose topological and well-isolated set of narrow bands possess ideal characteristics for realizing robust correlated topological phases, compared with other…

Strongly Correlated Electrons · Physics 2023-08-21 Yves H. Kwan , Patrick J. Ledwith , Chiu Fan Bowen Lo , Trithep Devakul

Twisted bilayer transition metal dichalcogenides, such as MoTe$_2$, provide a versatile platform for exploring correlated topological phases. This work investigates the interplay of perpendicular magnetic and electric fields in tuning the…

Strongly Correlated Electrons · Physics 2025-08-27 Tianhong Lu , Yi-Ming Wu , Luiz H. Santos

We explain the appearance of magic angles and fractional Chern insulators in twisted K-valley homobilayer transition metal dichalcogenides by mapping their continuum model to a Landau level problem. Our approach relies on an adiabatic…

Strongly Correlated Electrons · Physics 2024-06-21 Nicolás Morales-Durán , Nemin Wei , Jingtian Shi , Allan H. MacDonald

We demonstrate the realization of topological band structures by exploiting the intrinsic spin-orbit coupling of dipolar interactions in combination with broken time-reversal symmetry. The system is based on polar molecules trapped in a…

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

The observation of zero field fractional quantum Hall analogs in twisted transition metal dichalcogenides (TMDs) asks for a deeper understanding of what mechanisms lead to topological flat bands in two-dimensional heterostructures, and what…

Mesoscale and Nanoscale Physics · Physics 2024-05-10 Valentin Crépel , Nicolas Regnault , Raquel Queiroz

We show that moir\'e bands of twisted homobilayers can be topologically nontrivial, and illustrate the tendency by studying valence band states in $\pm K$ valleys of twisted bilayer transition metal dichalcogenides, in particular, bilayer…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Fengcheng Wu , Timothy Lovorn , Emanuel Tutuc , Ivar Martin , A. H. MacDonald

We develop a twist-angle transferable continuum model for twisted transition metal dichalcogenide (tTMD) homobilayers, using tMoTe2 and tWSe2 as examples. All model parameters are extracted from density functional theory (DFT) calculations…

Materials Science · Physics 2025-08-26 Xiao-Wei Zhang , Kaijie Yang , Chong Wang , Xiaoyu Liu , Ting Cao , Di Xiao

We predict that in a twisted homobilayer of transition-metal dichalcogenide MoS$_2$, spin-orbit coupling in the conduction band states from $\pm K$ valleys can give rise to moir\'{e} flat bands with nonzero Chern numbers in each valley. The…

Mesoscale and Nanoscale Physics · Physics 2022-03-21 Benjamin T. Zhou , Shannon Egan , Marcel Franz

The valence flat bands in transition metal dichalcogenide (TMD) heterobilayers are shown to exhibit strong intralayer spin-orbit coupling. This is reflected in a simple tight-binding model with spin-dependent complex hoppings based on the…

Mesoscale and Nanoscale Physics · Physics 2022-06-01 Louk Rademaker

A series of recent experimental works on twisted MoTe$_2$ homobilayers have unveiled an abundance of exotic states in this system. Valley-polarized quantum anomalous Hall states have been identified at hole doping of $\nu = -1$, and the…

Mesoscale and Nanoscale Physics · Physics 2024-04-16 Xiaoyu Liu , Chong Wang , Xiao-Wei Zhang , Ting Cao , Di Xiao
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