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Moire superlattices of transition metal dichalcogenide (TMD) bilayers have been shown to host correlated electronic states, which arises from the interplay of emergent moire potential and long-range Coulomb interactions. Here we…

Strongly Correlated Electrons · Physics 2021-04-28 Yang Zhang , Tongtong Liu , Liang Fu

Transition metal dichalcogenide (TMD) bilayers have recently emerged as a robust and tunable moir\'e system for studying and designing correlated electron physics. In this work, by combining large-scale first principle calculation and…

Strongly Correlated Electrons · Physics 2020-12-30 Yang Zhang , Noah F. Q. Yuan , Liang Fu

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

Quantum particles on a lattice with competing long-range interactions are ubiquitous in physics. Transition metal oxides, layered molecular crystals and trapped ion arrays are a few examples out of many. In the strongly interacting regime,…

Strongly Correlated Electrons · Physics 2020-12-02 Yang Xu , Song Liu , Daniel A Rhodes , Kenji Watanabe , Takashi Taniguchi , James Hone , Veit Elser , Kin Fai Mak , Jie Shan

Moir\'e heterostructures of transition metal dichalcogenides exhibit Mott-insulating behaviour both at half-filling as well as at fractional fillings, where electronic degrees of freedom form self-organized Wigner crystal states. An open…

Strongly Correlated Electrons · Physics 2024-01-31 Urban F. P. Seifert , Leon Balents

We explore the phase diagram of a twisted bilayer of strongly interacting electrons on a honeycomb lattice close to half-filling using the slave boson mean-field theory. Our analysis indicates that a variety of new phases can be realized as…

Strongly Correlated Electrons · Physics 2024-08-23 Ilia Komissarov , Onur Erten , Pouyan Ghaemi

Moir\'e superlattices of transition-metal dichalcogenide bilayers host strong Coulomb interactions residing in narrow electron bands, leading to correlated insulating states at fractional carrier doping densities, known as generalized…

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

The emergence of moir\'e materials with flat bands provides a platform to systematically investigate and precisely control correlated electronic phases. Here, we report local electronic compressibility measurements of a twisted…

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

A Wigner crystal, a regular electron lattice arising from strong correlation effects, is one of the earliest predicted collective electronic states. This many-body state exhibits quantum and classical phase transitions and has been proposed…

Electrons can organize themselves into charge-ordered states to minimize the effects of long-ranged Coulomb interactions. In the presence of a lattice, commensurability constraints lead to the emergence of incompressible Wigner-Mott…

Strongly Correlated Electrons · Physics 2024-12-31 Thomas G. Kiely , Debanjan Chowdhury

Long-range Coulomb forces give rise to correlated insulating states when charge particles populate a moir\'{e} superlattice at certain fractional filling factors. Such behavior is characterized by a broken translation symmetry wherein…

Materials Science · Physics 2025-05-13 Junghwan Kim , Hanan Dery , Dinh Van Tuan

Moir\'e superlattices formed by transition metal dichalcogenide (TMD) heterobilayers provide a versatile platform for studying strongly correlated electronic, excitonic, and topological phenomena in solids. In particular, angle-aligned…

We predict topological electron crystals driven by the interplay of interlayer Coulomb attraction and topological miniband physics in bilayer graphene--Mott insulator heterostructures. Charge transfer creates a charge neutral, mass…

Mesoscale and Nanoscale Physics · Physics 2026-04-27 Wangqian Miao , Tianyu Qiao , Xue-Yang Song , Yinghai Xu , Yiwei Chen , Lei Wang , Xi Dai

Moir\'{e} superlattices in transition metal dichalcogenides (TMDs) heterobilayers exhibit various correlated insulating states driven by long-range Coulomb interactions, and these states crucially alter exciton resonances, particularly at…

Materials Science · Physics 2025-11-04 Junghwan Kim , Dinh Van Tuan , Hanan Dery

An incommensurate charge density wave is a periodic modulation of charge that breaks translational symmetry at a momentum that does not coincide with the primitive lattice vectors. Its Goldstone excitation, the phason, comprises collective…

Strongly Correlated Electrons · Physics 2026-05-05 Paula Mellado , Francisco Muñoz , Javiera Cabezas-Escares

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

Flexible long period moir\' e superlattices form in two-dimensional van der Waals crystals containing layers that differ slightly in lattice constant or orientation. In this Letter we show theoretically that isolated flat moir\' e bands…

Mesoscale and Nanoscale Physics · Physics 2018-07-12 Fengcheng Wu , Timothy Lovorn , Emanuel Tutuc , A. H. MacDonald

Moir\'e heterostructures consisting of transition metal dichalcogenide (TMD) hetero- and homobilayers have emerged as a promising material platform to study correlated electronic states. Optical signatures of strong correlations in the form…

Strongly Correlated Electrons · Physics 2025-03-10 Natasha Kiper , Haydn S. Adlong , Arthur Christianen , Martin Kroner , Kenji Watanabe , Takashi Taniguchi , Atac Imamoglu
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