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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

At $n=3/4$ filling of the moir\'e flat band, transition metal dichalcogenide moir\'e bilayers will develop kagome charge order. We derive an effective spin model for the resulting localized spins and find that its further neighbor spin…

Strongly Correlated Electrons · Physics 2023-07-06 Johannes Motruk , Dario Rossi , Dmitry A. Abanin , Louk Rademaker

We present a comprehensive dynamical mean field study of the triangular lattice moir\'e Hubbard model, which is believed to represent the physics of moir\'e bilayer transition metal dichalcogenides. In these materials, important aspects of…

Strongly Correlated Electrons · Physics 2022-06-28 Jiawei Zang , Jie Wang , Jennifer Cano , Antoine Georges , Andrew J. Millis

Small-twist-angle transition metal dichalcogenide (TMD) heterobilayers develop isolated flat moir\'e bands that are approximately described by triangular lattice generalized Hubbard models [PhysRevLett.121.026402]. In this article we…

Strongly Correlated Electrons · Physics 2021-12-16 Nai Chao Hu , Allan H. MacDonald

Transition metal dichalcogenide (TMD) moir\'e heterostructures provide an ideal platform to explore the extended Hubbard model1 where long-range Coulomb interactions play a critical role in determining strongly correlated electron states.…

The interplay of charge, spin, lattice, and orbital degrees of freedom leads to a wide range of emergent phenomena in strongly correlated systems. In heterobilayer transition metal dichalcogenide moir\'e systems, recent observations 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

Moir\'e structures, along with line-graph-based $d$-electron systems, represent a setting to realize flat bands. One form of the associated strong correlation physics is the Kondo effect. Here, we address the recently observed Kondo-driven…

Strongly Correlated Electrons · Physics 2025-03-13 Fang Xie , Lei Chen , Qimiao Si

Moir\'e materials are artificial crystals formed at van der Waals heterojunctions that have emerged as a highly tunable platform to realize much of the rich quantum physics of electrons in atomic scale solids, also providing opportunities…

Strongly Correlated Electrons · Physics 2024-01-24 Pawel Potasz , Nicolás Morales-Durán , Nai Chao Hu , Allan H. MacDonald

In this work, we study a slave-rotor mean-field theory of an extended Hubbard model, applicable to transition metal dichalcogenide moir\'e systems, that captures both the formation of Wigner crystals as well as exotic spin states on top of…

Strongly Correlated Electrons · Physics 2025-07-10 Zhenhao Song , Urban F. P. Seifert , Zhu-Xi Luo , Leon Balents

Lattice models are powerful tools for studying strongly correlated quantum many-body systems, but their general lack of exact solutions motivates efforts to simulate them in tunable platforms. Recently, a promising new candidate has emerged…

Strongly Correlated Electrons · Physics 2026-01-27 Yiqi Yang , Yubo Yang , Miguel A. Morales , Shiwei Zhang

Twisted bilayer transition metal dichalcogenides have emerged as important model systems for the investigation of correlated electron physics because their interaction strength, carrier concentration, band structure, and inversion symmetry…

Strongly Correlated Electrons · Physics 2021-09-01 Jiawei Zang , Jie Wang , Jennifer Cano , Andrew J. Millis

We provide solid evidence for the long-standing presumption that model Hamiltonians with short-range interactions faithfully reproduce the physics of the long-range Coulomb interaction in real materials. For this aim, we address a generic…

Strongly Correlated Electrons · Physics 2025-06-09 Florian Gebhard , Kevin Bauerbach , Örs Legeza

Motivated by recent experiment on the Na$_4$Ir$_3$O$_8$ compound we study the Hubbard model on the "hyper-kagome lattice", which forms a three-dimensional network of corner sharing triangles, using dynamical cluster approximation (DCA)…

Strongly Correlated Electrons · Physics 2009-03-18 Hunpyo Lee , Hartmut Monien

We develop a systematic theory for excitons subject to Fermi-Hubbard physics in moir\'e twisted transition metal dichalcogenides (TMDs). Specifically, we consider excitons in moir\'e systems for which the valence band is in the…

Strongly Correlated Electrons · Physics 2023-06-07 T. -S. Huang , Yang-Zhi Chou , C. L. Baldwin , Fengcheng Wu , Mohammad Hafezi

We study in-plane lateral heterostructures of commensurate transition-metal dichalcogenides, such as MoS$_{2}$-WS$_{2}$ and MoSe$_{2}$-WSe$_{2}$, and find interfacial and edge states that are highly localized to these regions of the…

Mesoscale and Nanoscale Physics · Physics 2019-01-04 Oscar Ávalos-Ovando , Diego Mastrogiuseppe , Sergio E. Ulloa

Motivated by experimental studies that have found signatures of a quantum spin liquid phase in organic crystals whose structure is well described by the two-dimensional triangular lattice, we study the Hubbard model on this lattice at half…

Strongly Correlated Electrons · Physics 2020-05-27 Aaron Szasz , Johannes Motruk , Michael P. Zaletel , Joel E. Moore

Transition metal dichalcogenides (TMDs) constitute an intriguing platform for studying charge-ordered states including conventional and generalized Wigner crystals as well as Mott insulating states. In this work, we combine a phonon mode…

Materials Science · Physics 2024-10-18 Daniel Erkensten , Samuel Brem , Raul Perea-Causin , Ermin Malic

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

Recent experimental progress has established the twisted bilayer transition metal dichalcogenide (TMD) as a highly tunable platform for studying many-body physics. Particularly, the homobilayer TMDs under displacement field are believed to…

Strongly Correlated Electrons · Physics 2023-11-14 Feng Chen , D. N. Sheng