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Mott-Hubbard and Hund electron correlations have been realized thus far in separate classes of materials. Here, we show that a single moir\'e homobilayer encompasses both kinds of physics in a controllable manner. We develop a microscopic…

Strongly Correlated Electrons · Physics 2023-01-26 Siheon Ryee , Tim O. Wehling

Strong evidence of unconventional superconductivity has been very recently reported experimentally in twisted transition metal dichalcogenide bilayer and gathered a significant amount of interest. Here we consider the Hubbard model on a…

Superconductivity · Physics 2025-10-29 Andrzej Biborski , Michał Zegrodnik

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

The moir\'e Hubbard model describes correlations in certain homobilayer twisted transition metal dichalcogenides. Using exact diagonalization and density matrix renormalization group methods, we find magnetic Mott insulating and metallic…

Strongly Correlated Electrons · Physics 2022-11-15 Alexander Wietek , Jie Wang , Jiawei Zang , Jennifer Cano , Antoine Georges , Andrew Millis

The ability to control the properties of twisted bilayer transition metal dichalcogenides in situ makes them an ideal platform for investigating the interplay of strong correlations and geometric frustration. Of particular interest are the…

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…

Moir\'e transition metal dichalcogenides have served as a versatile platform for simulating Hubbard physics. Recent experiments have identified robust superconductivity in moir\'e bilayer WSe$_2$ for certain twist angles. Here, we propose…

Strongly Correlated Electrons · Physics 2026-05-19 Hui-Ke Jin , Guangyue Ji , Zhan Wang , Jie Wang , Fu-Chun Zhang

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

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

The advent of twisted moir\'e heterostructures as a playground for strongly correlated electron physics has led to a plethora of experimental and theoretical efforts seeking to unravel the nature of the emergent superconducting and…

Strongly Correlated Electrons · Physics 2022-05-06 Dominik Kiese , Yuchi He , Ciarán Hickey , Angel Rubio , Dante M. Kennes

Transition metal dichalcogenide homobilayers unite two frontiers of quantum materials research: sliding ferroelectricity, arising from rhombohedral (R) stacking, and moir\'e quantum matter, emerging from small-angle twisting. The…

Moir\'e materials provide a unique platform for studies of correlated many-body physics of the Fermi-Hubbard model on triangular spin-charge lattices. Bilayer Hubbard models are of particular significance with regard to the physics of Mott…

Moir\'e superlattices formed in two-dimensional semiconductor heterobilayers provide a new realization of Hubbard model physics in which the number of electrons per effective atom can be tuned at will. We report on an exact diagonalization…

Strongly Correlated Electrons · Physics 2021-08-10 Nicolás Morales-Durán , Pawel Potasz , Allan H. MacDonald

The emergence of high transition temperature (Tc) superconductivity in strongly correlated materials remains a major unsolved problem in physics. High-Tc materials, such as cuprates, are generally complex and not easily tunable, making…

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

Superconductivity has recently been observed in moir\'e transition-metal dichalcogenide bilayers. Here, we investigate the superconducting state in twisted WSe$_2$ using two complementary theoretical approaches. The first is based on the…

Superconductivity · Physics 2026-05-07 Waseem Akbar , Michał Zegrodnik

In bilayers of semiconducting transition metal dichalcogenides, the twist angle between layers can be used to introduce a highly regular periodic potential modulation on a length scale that is large compared to the unit cell. In such…

Materials Science · Physics 2022-04-27 N. Götting , F. Lohof , C. Gies

The observation of flat energy bands in transition metal dichalcogenide bilayers such as twisted WSe${}_2$ makes those materials interesting prospects for reproducing the behavior observed in graphene-based systems. We use an effective…

Strongly Correlated Electrons · Physics 2022-12-21 Mathieu Bélanger , Jérôme Fournier , David Sénéchal

Twisted bilayers of transition metal dichalcogenide semiconductors have enabled the discovery of superconductivity, ferromagnetism, correlated insulators and a series of new topological phases of matter. However, the connection between…

Experiments on twisted double bilayer tungsten diselenide have demonstrated that moir'e semiconductors can realize a relativistic Mott transition, i.e., a quantum phase transition from a Dirac semimetal to a correlated insulating state, by…

Mesoscale and Nanoscale Physics · Physics 2025-11-05 Bilal Hawashin , Julian Kleeschulte , David Kurz , Aiman Al-Eryani , Michael M. Scherer
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