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We develop an analytical theory for lattice relaxation in twisted moir\'e heterobilayers, accounting for lattice mismatch, twist, external biaxial heterostrain, and different elastic constants. Starting from continuum elasticity, we derive…

Mesoscale and Nanoscale Physics · Physics 2026-05-19 Christophe De Beule , Yiyang Lai , Liangtao Peng , Daniel Bennett , Shaffique Adam

The specific rotational alignment of two-dimensional lattices results in a moir\'e superlattice with a larger period than the original lattices and allows one to engineer the electronic band structure of such materials. So far, transport…

Alterelectricity is a compensated ferroic state in which quadrupolar electronic order reshapes low-energy electronic structure without producing a net polarization. Here we show that a moir\'e superlattice can turn such order into a…

Materials Science · Physics 2026-04-21 Alejandro Lopez-Bezanilla

The intertwined ferroelectricity and band topology will enable the non-volatile control of the topological states, which is of importance for nanoelectrics with low energy costing and high response speed. Nonetheless, the principle to…

Materials Science · Physics 2021-02-16 Yan Liang , Ning Mao , Ying Dai , Liangzhi Kou , Baibiao Huang , Yandong Ma

We apply a multiscale modeling approach to study lattice reconstruction in marginally twisted bilayers of transition metal dichalcogenides (TMD). For this, we develop DFT-parametrized interpolation formulae for interlayer adhesion energies…

Mesoscale and Nanoscale Physics · Physics 2020-05-21 V. V. Enaldiev , V. Zólyomi , C. Yelgel , S. J. Magorrian , V. I. Fal'ko

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

Unlike the spin-1/2 fermions, the Lieb and Dice lattices both host triply-degenerate low-energy excitations. Here, we discuss Moir\'e structures involving twisted bilayers of these lattices, which are shown to exhibit a tunable number of…

Mesoscale and Nanoscale Physics · Physics 2024-12-05 Xiaoting Zhou , Yi-Chun Hung , Baokai Wang , Arun Bansil

Introducing superconductivity in topological materials can lead to innovative electronic phases and device functionalities. Here, we present a new strategy for quantum engineering of superconducting junctions in moire materials through…

Nanophotonic devices with moir\'e superlattice is currently attracting broad interest due to the unique periodicity and high efficiency control of photons. Till now, experimental investigations mainly focus on the single layer device, i.e.,…

Optics · Physics 2025-03-07 Qing Wang , Yuhang Li , Shaofeng Wang , Shuo Cao , Xiulai Xu , Chenjiang Qian

We predict that twisted bilayers of 1T-ZrS$_2$ realize a novel and tunable platform to engineer two-dimensional topological quantum phases dominated by strong spin-orbit interactions. At small twist angles, ZrS$_2$ heterostructures give…

Strongly Correlated Electrons · Physics 2022-08-30 Martin Claassen , Lede Xian , Dante M. Kennes , Angel Rubio

The electronic properties of two-dimensional materials and their heterostructures can be dramatically altered by varying the relative angle between the layers. This makes it theoretically possible to realize a new class of twistable…

Mesoscale and Nanoscale Physics · Physics 2018-09-03 Rebeca Ribeiro-Palau , Changjian Zhang , Kenji Watanabe , Takashi Taniguchi , James Hone , Cory R. Dean

Forming long wavelength moir\'e superlattices (MSL) at small-angle twist van der Waals (vdW) bilayers has been a key approach to creating moir\'e flat bands. The small-angle twist, however, leads to strong lattice reconstruction, causing…

Electronic ferroelectricity represents a new paradigm where spontaneous symmetry breaking driven by electronic correlations, in contrast to traditional lattice-driven ferroelectricity, leads to the formation of electric dipoles. Despite the…

We propose a scheme to achieve breathing kagome moir\'e superlattices using three twisted layers of transition metal dichalcogenides. In this scheme, the top and bottom layers are twisted relative to the middle layer by small angles…

Mesoscale and Nanoscale Physics · Physics 2025-03-18 Adrian Fedorko , Chao-Xing Liu , Zhen Bi

When two-dimensional crystals are brought into close proximity, their interaction results in strong reconstruction of electronic spectrum and local crystal structure. Such reconstruction strongly depends on the twist angle between the two…

Mesoscale and Nanoscale Physics · Physics 2025-10-27 C. R. Woods , P. Ares , H. Nevison-Andrews , M. J. Holwill , R. Fabregas , F. Guinea , A. K. Geim , K. S. Novoselov , N. R. Walet , L. Fumagalli

Moir\'e superlattices in van der Waals heterostructures provide a tunable platform to study emergent properties that are absent in the natural crystal form. Twisted bilayer transition metal dichalcogenides (TB-TMDs) can host moir\'e flat…

Mesoscale and Nanoscale Physics · Physics 2021-09-27 En Li , Jin-Xin Hu , Xuemeng Feng , Zishu Zhou , Liheng An , Kam Tuen Law , Ning Wang , Nian Lin

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

Two-dimensional atomic crystals can radically change their properties in response to external influences such as substrate orientation or strain, resulting in essentially new materials in terms of the electronic structure. A striking…

Twist angle engineering in van der Waals homo and hetero-bilayers introduces profound modifications in their electronic, optical and mechanical properties due to lattice reconstruction. In these systems, the interlayer coupling and atomic…

We propose multi-layer moire structures in strong external magnetic fields as a novel platform for realizing highly-tunable, frustrated Hubbard physics with topological order. Identifying the layer degree of freedom as a pseudo spin, allows…

Strongly Correlated Electrons · Physics 2024-05-09 Clemens Kuhlenkamp , Wilhelm Kadow , Atac Imamoglu , Michael Knap