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Moir\'e superlattices formed from transition metal dichalcogenides (TMDs) have been shown to support a variety of quantum electronic phases that are highly tunable using applied electromagnetic fields. While the valley character of the…

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 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

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

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

Novel superconducting phases have been found in various moir\'e heterostructures based on hexagonal lattices. However, the archetypal high-temperature superconductors (cuprates, iron-based and nickelate families) all share a square lattice…

Strongly Correlated Electrons · Physics 2026-03-13 Toshikaze Kariyado , Yusuf Wicaksono , Ashvin Vishwanath , Pavel Volkov , Zhu-Xi Luo

Semiconductor moir\'e heterostructures exhibit rich correlation-induced many-body phenomena with signatures of emergent magnetism, Mott insulating states or generalized Wigner crystals observed in optical spectroscopy by probing intralayer…

Inspired by recent discovery of correlated insulating states in twisted bilayer graphene (TBG), we study a two-orbital Hubbard model on the honeycomb lattice with two electrons per unit cell. Based on the real-space density matrix…

Strongly Correlated Electrons · Physics 2019-08-28 Zheng Zhu , D. N. Sheng , Liang Fu

Moir\'e super-potentials in two-dimensional materials allow unprecedented control of the ratio between kinetic and interaction energy. By this, they pave the way to study a wide variety of strongly correlated physics under a new light. In…

Strongly Correlated Electrons · Physics 2022-01-03 Amir Dalal , Jonathan Ruhman

The interplay of spin and orbital degrees of freedom offers a versatile playground for the realization of a variety of correlated phases of matter. However, the types of spin-orbital interactions are often limited and challenging to tune.…

Strongly Correlated Electrons · Physics 2026-03-31 Ahmed Khalifa , Rokas Veitas , Francisco Machado , Shubhayu Chatterjee

Ab-initio and continuum model studies predicted that the $\Gamma$ valley transition metal dichalcogenide (TMD) homobilayers could simulate the conventional multi-orbital Hubbard model on the moir\'e Honeycomb lattice. Here, we perform the…

Strongly Correlated Electrons · Physics 2023-06-14 Nitin Kaushal , Elbio Dagotto

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

Strong electron-electron interaction can induce Mott insulating state, which is believed to host unusual correlated phenomena such as quantum spin liquid when quantum fluctuation dominates and unconventional superconductivity through…

Strongly Correlated Electrons · Physics 2025-04-24 Qiang Gao , Haiyang Chen , Wen-shin Lu , Yang-hao Chan , Zhenhua Chen , Yaobo Huang , Zhengtai Liu , Peng Chen

We investigate the Hubbard model on the honeycomb lattice with intrinsic spin orbit interactions as a paradigm for two-dimensional topological band insulators in the presence of interactions. Applying a combination of Hartree-Fock theory,…

Strongly Correlated Electrons · Physics 2015-03-13 Stephan Rachel , Karyn Le Hur

The recent observation of superconductivity in proximity to an insulating phase in twisted bilayer graphene (TBG) at small `magic' twist angles has been linked to the existence of nearly-flat bands, which make TBG a fresh playground to…

Superconductivity · Physics 2018-12-11 Jörn W. F. Venderbos , Rafael M. Fernandes

The variety of correlated phenomena in moir\'e systems is incredibly rich, spanning effects such as superconductivity, a generalized form of ferromagnetism, or even charge fractionalization. This wide range of quantum phenomena is partly…

Mesoscale and Nanoscale Physics · Physics 2023-10-31 Michał Papaj , Guangxin Ni , Cyprian Lewandowski

Moir\'e systems provide a rich platform for studies of strong correlation physics. Recent experiments on hetero-bilayer transition metal dichalcogenide (TMD) Moir\'e systems are exciting in that they manifest a relatively simple model…

Strongly Correlated Electrons · Physics 2023-04-04 Yiqing Zhou , D. N. Sheng , Eun-Ah Kim

Understanding quantum many-body systems is at the heart of condensed matter physics. The ability to control the underlying lattice geometry of a system, and thus its many-body interactions, would enable the realization of and transition…

Mesoscale and Nanoscale Physics · Physics 2023-08-09 Eric Anderson , Feng-Ren Fan , Jiaqi Cai , William Holtzmann , Takashi Taniguchi , Kenji Watanabe , Di Xiao , Wang Yao , Xiaodong Xu

We examine the charge and spin properties of an effective single-band model representing a moir\'e superlattice of the WSe$_{2}$/WS$_{2}$ heterobilayer. We focus on the $2/3$ electron filling, which refers to the formation of a generalized…

Strongly Correlated Electrons · Physics 2025-05-14 Andrzej Biborski , Michał Zegrodnik

We report ten ground states arising from strong correlations in the single-orbital Hubbard model on the decorated honeycomb lattice; including Dirac metals, flat-band ferromagnets, real-space Mott insulators, dimer and trimer Mott…

Strongly Correlated Electrons · Physics 2021-08-06 H. L. Nourse , Ross H. McKenzie , B. J. Powell
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