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We present a theoretical study of an interaction-driven quantum phase diagram of twisted bilayer MoTe$_2$ at hole filling factor $\nu_h=1$ as a function of twist angle $\theta$ and layer potential difference $V_z$, where $V_z$ is generated…

Mesoscale and Nanoscale Physics · Physics 2024-01-19 Bohao Li , Wen-Xuan Qiu , Fengcheng Wu

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

Semiconductor moir\'e superlattices have been shown to host a wide array of interaction-driven ground states. However, twisted homobilayers have been difficult to study in the limit of large moir\'e wavelength, where interactions are most…

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

We theoretically study a generalized Hubbard model on moir\'e superlattices of twisted bilayers, and find very rich filling-factor-dependent quantum phase diagrams tuned by interaction strength and twist angle. Strong long-range Coulomb…

Strongly Correlated Electrons · Physics 2020-11-11 Haining Pan , Fengcheng Wu , Sankar Das Sarma

We consider the superconducting and Mott-insulating states for the twisted bilayer graphene, modeled as two narrow-band system of electrons with appreciable intraatomic Coulomb interactions. The interaction induces kinetic exchange which…

Superconductivity · Physics 2018-08-29 Maciej Fidrysiak , Michał Zegrodnik , Józef Spałek

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…

We present a theoretical study of single-particle and many-body properties of twisted bilayer WSe$_2$. For single-particle physics, we calculate the band topological phase diagram and electron local density of states (LDOS), which are found…

Strongly Correlated Electrons · Physics 2020-07-29 Haining Pan , Fengcheng Wu , Sankar Das Sarma

Recent observations of quantum anomalous Hall effects in moir\'e systems have revealed the emergence of interaction-driven ferromagnetism with significant orbital contributions. To capture this physics, we extend the modern theory of…

Mesoscale and Nanoscale Physics · Physics 2026-05-14 Xiaoyu Liu , Chong Wang , Haoran Chen , Xiao-Wei Zhang , Ting Cao , Di Xiao

We study electron-electron interaction induced states of twisted bilayer MoTe$_2$ in an out-of-plane magnetic field $B\hat{\bf z}$ near one hole per moir\'e unit cell filling. The 3D phase diagram showing the evolution of competing phases…

Strongly Correlated Electrons · Physics 2024-11-18 Minxuan Wang , Xiaoyu Wang , Oskar Vafek

Consecutive topological phase transitions (TPTs) between strongly correlated electronic phases that differ simultaneously in symmetry breaking and topological order are of fundamental interest in condensed matter physics, yet are rarely…

Using a self-consistent Hartree-Fock theory, we show that the recently observed ferromagnetism in twisted bilayer WSe$_2$ [Nat. Commun. 16, 1959 (2025)] can be understood as a Stoner-like instability of interaction-renormalized moir\'e…

Strongly Correlated Electrons · Physics 2025-12-18 Liangtao Peng , Christophe De Beule , Yiyang Lai , Du Li , Li Yang , E. J. Mele , Shaffique Adam

Twisted bilayer MoTe$_2$ (tMoTe$_2$) has emerged as a robust platform for exploring correlated topological phases, notably supporting fractional Chern insulator (FCI) states at zero magnetic field across a wide range of twist angles. The…

We study, the interplay between topology and electron-electron interactions in the moir\'{e} MoTe\(_2\)/WSe\(_2\) heterobilayer. In our analysis we apply an effective two-band model with complex hoppings that incorporates the Ising-type…

Strongly Correlated Electrons · Physics 2025-10-03 Palash Saha , Louk Rademaker , Michał Zegrodnik

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…

Mesoscale and Nanoscale Physics · Physics 2022-09-15 Huan Wang , Yadong Jiang , Zhaochen Liu , Jing Wang

Moir\'e superlattices formed by semiconducting transition metal dichalcogenides (TMDs) provide a highly tunable platform for investigating strongly correlated and topological quantum phases. As a prototypical example, twisted bilayer MoTe2…

Moir\'e materials with flat electronic bands provide a highly controllable quantum system for studies of strong-correlation physics and topology. In particular, angle-aligned heterobilayers of semiconducting transition metal dichalcogenides…

Strongly Correlated Electrons · Physics 2022-10-05 Yang Xu , Kaifei Kang , Kenji Watanabe , Takashi Taniguchi , Kin Fai Mak , Jie Shan

Twisted homobilayer transition metal dichalcogenide (TMD) attracts an expanding experimental interest recently for exhibiting a variety of topological and magnetic states even at zero magnetic field. Most of the studies right now focus on…

Strongly Correlated Electrons · Physics 2023-12-21 Taige Wang , Minxuan Wang , Woochang Kim , Steven G. Louie , Liang Fu , Michael P. Zaletel

We investigate the moir\'e band structures and the strong correlation effects in twisted bilayer MoTe$_2$ for a wide range of twist angles, employing a combination of various techniques. Using large-scale first principles calculations, we…

Strongly Correlated Electrons · Physics 2024-03-04 Cheng Xu , Jiangxu Li , Yong Xu , Zhen Bi , Yang Zhang

Magic-angle twisted bilayer graphene has recently become a thriving material platform realizing correlated electron phenomena taking place within its topological flat bands. Several numerical and analytical methods have been applied to…

Strongly Correlated Electrons · Physics 2021-09-17 Bin-Bin Chen , Yuan Da Liao , Ziyu Chen , Oskar Vafek , Jian Kang , Wei Li , Zi Yang Meng
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