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The electric structure of twisted bilayer GeSe, which shows a rectangular moir\'{e} pattern, is analyzed using a $\bm{k}\cdot\bm{p}$ type effective continuum model. The effective model is constructed on the basis of the the local…

Mesoscale and Nanoscale Physics · Physics 2021-09-29 Manato Fujimoto , Toshikaze Kariyado

By virtue of being atomically thin, the electronic properties of heterostructures built from two-dimensional materials are strongly influenced by atomic relaxation. The atomic layers behave as flexible membranes rather than rigid crystals.…

Strongly Correlated Electrons · Physics 2025-01-07 Mohammed M. Al Ezzi , Gayani N. Pallewela , Christophe De Beule , E. J. Mele , Shaffique Adam

Moir\'e superlattices in two-dimensional (2D) materials exhibit rich quantum phenomena, but ab initio modelling of these systems remains computationally prohibitive. Existing machine learning methods for accelerating density-functional…

Materials Science · Physics 2026-02-11 Zekun Lou , Alan M. Lewis , Mariana Rossi

Twisted two-dimensional semiconductors generate a moir\'e landscape that confines excitons (bound electron-hole pairs) into programmable lattices, offering routes to efficient light sources, sensing, and room-temperature information…

Spatial control of topology is highly desirable for realizing tunable quantum functionalities in materials. Moir\'e superlattices formed by twisting van der Waals heterostructures provide a natural platform for spatially modulated…

Materials Science · Physics 2026-05-28 Arjyama Bordoloi , Daniel Kaplan , Sobhit Singh

Contemporary quantum materials research is guided by themes of topology and of electronic correlations. A confluence of these two themes is engineered in "moir\'e materials", an emerging class of highly tunable, strongly correlated…

Mesoscale and Nanoscale Physics · Physics 2024-08-15 Kevin P. Nuckolls , Ali Yazdani

In stacks of two-dimensional crystals, mismatch of their lattice constants and misalignment of crystallographic axes lead to formation of moir\'{e} patterns. We show that moir\'{e} superlattice effects persist in twisted bilayer graphene…

Moir\'e superlattices (MSL) formed in angle-aligned bilayers of van der Waals materials have become a promising platform to realize novel two-dimensional electronic states. Angle-aligned trilayer structures can form two sets of MSLs which…

Mesoscale and Nanoscale Physics · Physics 2021-02-18 Xiong Huang , Lingxiu Chen , Shujie Tang , Chengxin Jiang , Chen Chen , Huishan Wang , Zhi-Xun Shen , Haomin Wang , Yong-Tao Cui

The moir\'e superlattice system provides an excellent platform for exploring various novel quantum phenomena. To theoretically tackle the diverse correlated and topological states emerging from moir\'e superlattices, one usually adopts an…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 Bo Xie , Jianqi Huang , Jianpeng Liu

Inspired by the rich physics of twisted 2D bilayer moir\'{e} systems, we study Coulomb interacting systems subjected to two overlapping finite 1D lattice potentials of unequal periods through exact numerical diagonalization. Unmatching…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 DinhDuy Vu , S. Das Sarma

Lattice reconstruction in twisted transition-metal dichalcogenide (TMD) bilayers gives rise to piezo- and ferroelectric moir\'e potentials for electrons and holes, as well as a modulation of the hybridisation across the bilayer. Here, we…

Mesoscale and Nanoscale Physics · Physics 2021-09-30 S. J. Magorrian , V. V. Enaldiev , V. Zólyomi , Fábio Ferreira , Vladimir I. Fal'ko , David A. Ruiz-Tijerina

Moir\'e materials offer a versatile platform for engineering excitons with unprecedented control, promising next-generation optoelectronic applications. While continuum models are widely used to study moir\'e excitons due to their…

Materials Science · Physics 2025-10-08 Indrajit Maity , Johannes Lischner , Arash A. Mostofi , Ángel Rubio

In moir\'e crystals formed by stacking van der Waals (vdW) materials, surprisingly diverse correlated electronic phases and optical properties can be realized by a subtle change in the twist angle. Here, we discover that phonon spectra are…

For an untwisted affine Lie algebra we prove an embedding of any higher level Demazure module into a tensor product of lower level Demazure modules (e.g. level one in type A) which becomes in the limit (for anti-dominant weights) the…

Representation Theory · Mathematics 2025-05-21 Deniz Kus , R. Venkatesh

Twisted bilayers of two-dimensional (2D) materials are proving a fertile ground for investigating strongly correlated electron phases. This is because the moir\'e pattern introduced by the relative twist between layers introduces…

Materials Science · Physics 2021-10-13 Hao Tang , Stephen Carr , Efthimios Kaxiras

Twisted magnetic van der Waals (vdW) materials offer a promising route for multiferroic engineering, yet modeling large-scale moir\'e superlattices remains challenging. Leveraging a newly developed SpinGNN++ framework that effectively…

Materials Science · Physics 2025-07-24 Haiyan Zhu , Hongyu Yu , Weiqin Zhu , Guoliang Yu , Changsong Xu , Hongjun Xiang

In twisted bilayer graphene (TBG) a moir\'e pattern forms that introduces a new length scale to the material. At the 'magic' twist angle of 1.1{\deg}, this causes a flat band to form, yielding emergent properties such as correlated…

The possibility that the so-called "lithium problem", i.e. the disagreement between the theoretical abundance predicted for primordial $^7$Li assuming standard nucleosynthesis and the value inferred from astrophysical measurements, can be…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-03 Laura Salvati , Luca Pagano , Massimiliano Lattanzi , Martina Gerbino , Alessandro Melchiorri

In twisted bilayer graphene, long-wavelength lattice fluctuations on the scale of the moir\'e period are dominated by phason modes, i.e., acoustic branches of the incommensurate lattice resulting from coherent superpositions of optical…

Mesoscale and Nanoscale Physics · Physics 2019-10-30 Héctor Ochoa

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