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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…

Recent experiments in twisted bilayer transition-metal dichalcogenides have revealed a variety of strongly correlated phenomena. To theoretically explore their origin, we combine here ab initio calculations with correlated model approaches…

Strongly Correlated Electrons · Physics 2025-10-03 Marta Brzezińska , Sergii Grytsiuk , Malte Rösner , Marco Gibertini , Louk Rademaker

Using a self-consistent Hartree-Fock theory, we show that the recently observed ferromagnetism in twisted bilayer WSe$_2$ [Nat. Commun. 16, 1959 (2025)] can be understood as a Stoner-like instability of interaction-renormalized moir\'e…

Strongly Correlated Electrons · Physics 2025-12-18 Liangtao Peng , Christophe De Beule , Yiyang Lai , Du Li , Li Yang , E. J. Mele , Shaffique Adam

Large scale two-dimensional (2D) moir\'e superlattices are driving a revolution in designer quantum materials. The electronic interactions in these superlattices, strongly dependent on the periodicity and symmetry of the moir\'e pattern,…

Mesoscale and Nanoscale Physics · Physics 2022-07-26 M. Kögl , P. Soubelet , M. Brotons-Gisbert , A. V. Stier , B. D. Gerardot , J. J. Finley

Symmetry considerations suggest that moire superlattices formed by twisted two-dimensional materials should preserve overall inversion symmetry. However, experiments consistently report robust ferroelectricity in systems such as twisted…

Computational Physics · Physics 2025-10-23 Di Fan , Changming Ke , Shi Liu

The semiclassical quantization of cyclotron orbits for two-dimensional Bloch electrons in a coupled two band model with a particle-hole symmetric spectrum is considered. As concrete examples, we study graphene (both mono and bilayer) and…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 J. N. Fuchs , F. Piechon , M. O. Goerbig , G. Montambaux

Twisted van der Waals bilayers provide an ideal platform to study the electron correlation in solids. Of particular interest is the 30 degree twisted bilayer honeycomb lattice system, which possesses an incommensurate Moire pattern and…

Materials Science · Physics 2019-12-19 Yu-Hao Shen , Wen-Yi Tong , He Hu , Jun-Ding Zheng , Chun-Gang Duan

We develop a diagrammatic perturbation theory to account for the emergence of moir\'e bands in the continuum model of twisted bilayer graphene. Our framework is build upon treating the moir\'e potential as a perturbation that transfers…

Mesoscale and Nanoscale Physics · Physics 2024-07-30 Federico Escudero

When quasiparticles move in condensed matters, the texture of their internal quantum structure as a function of position and momentum can give rise to Berry phases that have profound effects on materials properties. Seminal examples include…

Mesoscale and Nanoscale Physics · Physics 2023-08-29 Hongyi Yu , Mingxing Chen , Wang Yao

Conventional electronics are based invariably on the intrinsic degrees of freedom of an electron, namely, its charge and spin. The exploration of novel electronic degrees of freedom has important implications in both basic quantum physics…

Materials Science · Physics 2013-03-12 Xiao Li , Ting Cao , Qian Niu , Junren Shi , Ji Feng

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

We report on the theoretical electronic spectra of twisted phosphorene bilayers exhibiting moir\'e patterns, as computed by means of a continuous approximation to the moir\'e superlattice Hamiltonian. Our model is constructed by…

Mesoscale and Nanoscale Physics · Physics 2022-06-23 Isaac Soltero , Jonathan Guerrero-Sánchez , Francisco Mireles , David A. Ruiz-Tijerina

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…

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

Berry curvature physics and quantum geometric effects have been instrumental in advancing topological condensed matter physics in recent decades. Although Landau level-based flat bands and conventional 3D solids have been pivotal in…

Mesoscale and Nanoscale Physics · Physics 2024-05-16 Pratap Chandra Adak , Subhajit Sinha , Amit Agarwal , Mandar M. Deshmukh

Motivated by recent studies on topologically non-trivial moir\'{e} bands in twisted bilayer transition metal dichalcogenides (TMDs), we study MoTe$_2$ bilayer systems subject to pressure, which is applied perpendicular to the material…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 Miftah Hadi Syahputra Anfa , Sabri Elatresh , Hocine Bahlouli , Michael Vogl

We develop a comprehensive theory of twisted bilayer magnetism. Starting from the first-principles calculations of two-dimensional honeycomb magnet CrI3, we construct the generic spin models that represent a broad class of twisted bilayer…

Strongly Correlated Electrons · Physics 2022-06-13 Kyoung-Min Kim , Do Hoon Kiem , Grigory Bednik , Myung Joon Han , Moon Jip Park

Recently, the twist angle between adjacent sheets of stacked van der Waals materials emerged as a new knob to engineer correlated states of matter in two-dimensional heterostructures in a controlled manner, giving rise to emergent phenomena…

Mesoscale and Nanoscale Physics · Physics 2021-10-18 Lede Xian , Martin Claassen , Dominik Kiese , Michael M. Scherer , Simon Trebst , Dante M. Kennes , Angel Rubio

Twistronics, which exploits moire modulation of lattice and electronic structures in twisted bilayers, has emerged as a powerful approach to engineer novel quantum states. Recent efforts have expanded beyond two dimensional van der Waals…

Quantum information storage using charge-neutral quasiparticles are expected to play a crucial role in the future of quantum computers. In this regard, magnons or collective spin-wave excitations in solid-state materials are promising…

Strongly Correlated Electrons · Physics 2017-10-20 S. A. Owerre , J. Nsofini