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Transition metal dichalcogenide homobilayers unite two frontiers of quantum materials research: sliding ferroelectricity, arising from rhombohedral (R) stacking, and moir\'e quantum matter, emerging from small-angle twisting. The…

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

The moir\'e superlattice formed by ABC stacked trilayer graphene aligned with a hexagonal boron nitride substrate (TG/h-BN) provides an interesting system where both the bandwidth and the topology can be tuned by an applied perpendicular…

Strongly Correlated Electrons · Physics 2019-06-05 Ya-Hui Zhang , T. Senthil

We reveal by first-principles calculations that the interlayer binding in a twisted MoS2/MoTe2 heterobilayer decreases with increasing twist angle, due to the increase of the interlayer overlapping degree, a geometric quantity describing…

Materials Science · Physics 2020-10-07 W. T. Geng , V. Wang , J. B. Lin , T. Ohno , J. Nara

Twisting bilayers of transition metal dichalcogenides (TMDs) gives rise to a periodic moir\'{e} potential resulting in flat electronic bands with localized wavefunctions and enhanced correlation effects. In this work, scanning tunneling…

Mesoscale and Nanoscale Physics · Physics 2024-07-02 Laurent Molino , Leena Aggarwal , Indrajit Maity , Ryan Plumadore , Johannes Lischner , Adina Luican-Mayer

We develop the moir\'e band theory for M-valley twisted square homobilayers with layer groups $P$-$42m$ and $P$-$4m2$, and propose candidate material realizations. We show that moir\'e ferroelectricity-originating from sliding…

Mesoscale and Nanoscale Physics · Physics 2026-03-17 Kejie Bao , Rui Shi , Huan Wang , Linghao Huang , Jing Wang

The salient property of the electronic band structure of twisted bilayer graphene (TBG), at the so-called magic angle (MA), is the emergence of flat bands around the charge neutrality point. These bands are associated with the observed…

Mesoscale and Nanoscale Physics · Physics 2023-09-04 Sonia Haddad , Takeo Kato , Jihang Zhu , Lassaad Mandhour

Recent observations of quantum anomalous Hall effects in moir\'e systems have revealed the emergence of interaction-driven ferromagnetism with significant orbital contributions. To capture this physics, we extend the modern theory of…

Mesoscale and Nanoscale Physics · Physics 2026-05-14 Xiaoyu Liu , Chong Wang , Haoran Chen , Xiao-Wei Zhang , Ting Cao , Di Xiao

In the emerging world of twisted bilayer structures, the possible configurations are limitless, which enables for a rich landscape of electronic properties. In this paper, we focus on twisted bilayer transition metal dichalcogenides (TMDCs)…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Yipei Zhang , Zhen Zhan , Francisco Guinea , Jose Angel Silva-Guillen , Shengjun Yuan

Structural engineering of van der Waals heterostructures via stacking and twisting has recently been used to create moir\'e superlattices, enabling the realization of new optical and electronic properties in solid-state systems. In…

We investigate the physics of photonic band structures of the moir\'e patterns that emerged when overlapping two uni-dimensional (1D) photonic crystal slabs with mismatched periods. The band structure of our system is a result of the…

Using density functional theory calculations and the Greens's function formalism, we report the existence of magnetic edge states with a non-collinear spin texture present on different edges of the 1T' phase of the three monolayer…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Line Jelver , Daniele Stradi , Thomas Olsen , Kurt Stokbro , Karsten Wedel Jacobsen

We investigate the topological properties of Floquet-engineered twisted bilayer graphene above the magic angle driven by circularly polarized laser pulses. Employing a full Moir\'e-unit-cell tight-binding Hamiltonian based on…

Materials Science · Physics 2019-09-30 Gabriel E. Topp , Gregor Jotzu , James W. McIver , Lede Xian , Angel Rubio , Michael A. Sentef

Moir\'e engineering offers new pathways for manipulating emergent states in twisted layered materials and lattice-mismatched heterostructures. With the key role of the geometry of the underlying lattice in mind, here we introduce the…

Materials Science · Physics 2025-07-17 Yi-Chun Hung , Xiaoting Zhou , Arun Bansil

Sliding is a ubiquitous phenomenon in moir\'e systems, but its direct influence on moir\'e bands, especially in multi-twist moir\'e systems, has been largely overlooked to date. Here, we theoretically show that sliding provides a unique…

Mesoscale and Nanoscale Physics · Physics 2025-09-12 Shi-Ping Ding , Miao Liang , Tian-Le Wu , Meng-Hao Wu , Jing-Tao Lü , Jin-Hua Gao , X. C. Xie

The valence band maxima of most group-VI transition metal dichalcogenide thin films remain at the $\Gamma$-point all the way from bulk to bilayer. In this paper we develop a continuum theory of the moir\`e minibands that are formed in the…

Strongly Correlated Electrons · Physics 2021-04-28 M. Angeli , A. H. MacDonald

There has been remarkable recent progress in the formation of nano-resonators that support ultra-low-loss, compact dielectric photonic crystals with exceptional high-Q modes that operate at visible or telecom wavelengths. New insights into…

Optics · Physics 2022-12-21 Haoning Tang , Xueqi Ni , Fan Du , Eric Mazur

We demonstrate that one-dimensional moir\'e patterns, analogous to those found in twisted bilayer graphene, can arise in collapsed chiral carbon nanotubes. Resorting to a combination of approaches, namely, molecular dynamics to obtain the…

We address the effective tight-binding Hamiltonian that describes the insulating Mott state of twisted graphene bilayers at a magic angle. In that configuration, twisted bilayers form a honeycomb superlattice of localized states,…

Strongly Correlated Electrons · Physics 2019-06-24 Kangjun Seo , Valeri N. Kotov , Bruno Uchoa

Moir\'e superlattices in stacked 2D crystals are powerful platforms for engineering correlated and topological quantum phases, with twisted graphene and transition metal dichalcogenides (TMDs) as prominent examples. Their angle-sensitive…

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