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The ground state phase diagram of the half-filled repulsive Hubbard model in a bilayer is investigated using cluster dynamical mean field theory. For weak to intermediate values of Coulomb repulsion $U$, the system undergoes a transition…

Strongly Correlated Electrons · Physics 2009-11-13 S. S. Kancharla , S. Okamoto

Moir\'e superlattices created by the twisted stacking of two-dimensional crystalline monolayers can host electronic bands with flat energy dispersion in which interaction among electrons is strongly enhanced. These superlattices can also…

Mesoscale and Nanoscale Physics · Physics 2021-05-18 Xiaomeng Liu , Cheng-Li Chiu , Jong Yeon Lee , Gelareh Farahi , Kenji Watanabe , Takashi Taniguchi , Ashvin Vishwanath , Ali Yazdani

The ideal honeycomb lattice, featuring sublattice and SU(2) spin rotation symmetries, is a fundamental model for investigating quantum matters with topology and correlations. With the rise of the moir\'e-based design of model systems,…

Strongly Correlated Electrons · Physics 2023-12-19 Haining Pan , Eun-Ah Kim , Chao-Ming Jian

Moir\'e superlattices formed in van der Waals bilayers have enabled the creation and manipulation of new quantum states, as is exemplified by the discovery of superconducting and correlated insulating states in twisted bilayer graphene near…

Moir\'e materials have enabled the realization of flat electron bands and quantum phases that are driven by strong correlations associated with flat bands. Superconductivity has been observed, but solely, in graphene moir\'e materials. The…

Mesoscale and Nanoscale Physics · Physics 2024-05-24 Yiyu Xia , Zhongdong Han , Kenji Watanabe , Takashi Taniguchi , Jie Shan , Kin Fai Mak

Motivated by recent experimental studies that have found signatures of a correlated insulator phase and tuning superconductivity in twisted bilayer graphene, we study the temperature-dependent conductivity, the spin correlation and the…

Strongly Correlated Electrons · Physics 2020-04-22 Wanying Chen , Yonghuan Chu , Tongyun Huang , Tianxing Ma

We show that moir\'e bands of twisted homobilayers can be topologically nontrivial, and illustrate the tendency by studying valence band states in $\pm K$ valleys of twisted bilayer transition metal dichalcogenides, in particular, bilayer…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Fengcheng Wu , Timothy Lovorn , Emanuel Tutuc , Ivar Martin , A. H. MacDonald

Moir\'e superlattices in twistronic heterostructures are a powerful tool for materials engineering. In marginally twisted (small misalignment angle, $\theta$) bilayers of nearly lattice-matched two-dimensional (2D) crystals moir\'e patterns…

Mesoscale and Nanoscale Physics · Physics 2022-10-25 V. V. Enaldiev , F. Ferreira , J. G. McHugh , V. I. Fal'ko

We report experimental and theoretical studies of MoTe$_2$-MoSe$_2$ heterobilayers with rigid moir\'e superlattices controlled by the twist angle. Using an effective continuum model that combines resonant interlayer electron tunneling with…

The recent discovery of unconventional superconductivity has pointed to twisted WSe$_2$ bilayer as a versatile platform for studying the correlated and topological phases of matter. Here we analyze the effect of the displacement field and…

Superconductivity · Physics 2025-10-27 Michał Zegrodnik , Waseem Akbar , Andrzej Biborski , Louk Rademaker

Semiconductor moir\'e superlattices provide a highly tunable platform to study the interplay between electron correlation and band topology. For example, the generalized Kane-Mele-Hubbard model can be simulated by the topological moir\'e…

Superconductivity · Physics 2024-01-11 Xun-Jiang Luo , Wen-Xuan Qiu , Fengcheng Wu

Transition metal dichalcogenide (TMD) moir\'e bilayers have realized a wide range of strongly correlated and topological phenomena. The physics in these materials is often sensitive to the interlayer stacking order. Polarization-resolved…

Moir\'e heterobilayer transition metal dichalcogenides (TMDs) emerge as an ideal system for simulating the single-band Hubbard model and interesting correlated phases have been observed in these systems. Nevertheless, the moir\'e bands in…

Mesoscale and Nanoscale Physics · Physics 2022-01-19 Ying-Ming Xie , Cheng-Ping Zhang , Jin-Xin Hu , Kin Fai Mak , K. T. Law

Twistronic assembly of 2D materials employs the twist angle between adjacent layers as a tuning parameter for designing the electronic and optical properties of van der Waals heterostructures. Here, we study how interlayer hybridization,…

Mesoscale and Nanoscale Physics · Physics 2021-06-21 Fábio Ferreira , Samuel Magorrian , Vladimir Enaldiev , David Ruiz-Tijerina , Vladimir Fal'ko

Motivated by recent experimental observations of opposite Chern numbers in $R$-type twisted MoTe$_2$ and WSe$_2$ homobilayers, we perform large-scale density-functional-theory (DFT) calculations with machine learning force fields to…

Materials Science · Physics 2024-05-21 Xiao-Wei Zhang , Chong Wang , Xiaoyu Liu , Yueyao Fan , Ting Cao , Di Xiao

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

We study twisted bilayer WSe$_2$ within a continuum moir\'e model and introduce a method for treating finite geometries directly in the continuum framework, overcoming limitations associated with momentum-space formulations and Wannier…

Mesoscale and Nanoscale Physics · Physics 2026-04-30 Yasser Saleem , Paweł Potasz , Anna Dyrdał , Björn Trauzettel , Ewelina M. Hankiewicz

Twisted WSe$_2$ hosts superconductivity, metal-insulator phase transitions, and field-controllable Fermi-liquid to non-Fermi-liquid transport properties. In this work, we use dynamical mean-field theory to provide a coherent understanding…

Transition metal dichalcogenide moir\'e homobilayers have emerged as a platform in which magnetism, strong correlations, and topology are intertwined. In a large magnetic field, the energetic alignment of states with different spin in these…

The interplay of electronic correlations, spin-orbit coupling and topology holds promise for the realization of exotic states of quantum matter. Models of strongly interacting electrons on honeycomb lattices have revealed rich phase…

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