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A real-space method using generating integers is used to classify the possible moire patterns for two equal hexagonal lattices. The result is that the rotations that take (n,m) to (m,n) with n,m relatively prime form the fundamental moire…

Computational Physics · Physics 2022-11-29 Matthew Ciesler , Damien West , Shengbai Zhang

A major theoretical challenge of studying twisted transition metal dichalcogenide (TMD) bilayers is that the unit cell of such structures is very large and therefore difficult to address using first-principles methods. However, twisted TMD…

Materials Science · Physics 2019-09-13 Madeleine Phillips , C. Stephen Hellberg

Topological magnetism, characterized by topologically protected spin textures, offers rich physics and transformative prospects for spintronics. However, its stabilization typically demands external magnetic fields, preventing…

Materials Science · Physics 2026-03-06 Zhonglin He , Kaiying Dou , Wenhui Du , Ying Dai , Evgeny Y. Tsymbal , Yandong Ma

Exotic collective phenomena emerge when bosons strongly interact within a lattice. However, creating a robust and tunable solid-state platform to explore such phenomena has been elusive. Dual moir\'e systems$-$compromising two…

Mesoscale and Nanoscale Physics · Physics 2025-09-17 Amine Ben Mhenni , Elif Çetiner , Kenji Watanabe , Takashi Taniguchi , Jonathan J. Finley , Nathan P. Wilson

Moir\'e superlattices enable engineering of correlated quantum states through tunable periodic potentials, where twist angle controls periodicity but dynamic potential strength modulation remains challenging. Here, we develop a…

Twisted 2D materials form complex moir\'e structures that spontaneously reduce symmetry through picoscale deformation within a mesoscale lattice. We show twisted 2D materials contain a torsional displacement field comprised of three…

In recent years, twisted bilayer graphene has become a hot topic and inspired the research upsurge of photonic moir\'e lattice. Here, we designed a photonic moir\'e superlattice with two synthetic twist angles and constructed a synthetic…

Optics · Physics 2023-05-17 Z. N. Liu , X. Q. Zhao , J. Yao , C. Zhang , J. L. Xu , S. N. Zhu , H. Liu

Three-dimensional (3D) topological insulators (TI) are novel quantum materials with insulating bulk and topologically protected metallic surfaces with Dirac-like band structure. The spin-helical Dirac surface states are expected to host…

Hexagonal boron nitride (BN) is widely used as a substrate and gate insulator for two-dimensional (2D) electronic devices. The studies on insulating properties and electrical reliability of BN itself, however, are quite limited. Here, we…

Materials Science · Physics 2015-10-08 Y. Hattori , K. Watanabe , T. Taniguchi , K. Nagashio

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…

Folded regions are commonly encountered in a number of hexagonal boron nitride (h-BN) based bulk and nanostructured materials. Two types of structural modifications occur in folded h-BN layers: local curvature at the folded edges and…

Materials Science · Physics 2022-11-21 Anthony Impellizzeri , Michele Amato , Chris P. Ewels , Alberto Zobelli

Moir\'e superlattices formed from transition metal dichalcogenides (TMDs) have been shown to support a variety of quantum electronic phases that are highly tunable using applied electromagnetic fields. While the valley character of the…

Two-dimensional electron systems in both magnetic fields and periodic potentials are described by Hofstadter butterfly, a fundamental problem of solid-state physics. While moir\'e systems provide a powerful method to realize this spectrum,…

Moir\'e superlattices of van der Waals heterostructures provide a powerful new way to engineer the electronic structures of two-dimensional (2D) materials. Many novel quantum phenomena have emerged in different moir\'e heterostructures,…

Twisted bilayer graphene (tBLG) has emerged as a promising platform to explore exotic electronic phases. However, the formation of moir\'e patterns in tBLG has thus far been confined to the introduction of twist angles between the layers.…

Materials Science · Physics 2023-10-10 Gabriel R. Schleder , Michele Pizzochero , Efthimios Kaxiras

We report on the fabrication and characterization of dual-gated hexagonal boron nitride (hBN)/bilayer-graphene (BLG) superlattices. Due to the moire effect, the hBN/BLG superlattice harbors an energy gap at the charge neutral point (CNP)…

Mesoscale and Nanoscale Physics · Physics 2024-10-10 Takuya Iwasaki , Yoshifumi Morita

Sliding and twisting van der Waals layers with respect to each other gives rise to moir\'e structures with emergent electronic properties. Electrons in these moir\'e structures feel weak potentials that are typically in the tens of…

Mesoscale and Nanoscale Physics · Physics 2020-07-14 Drew Edelberg , Hemant Kumar , Vivek Shenoy , Héctor Ochoa , Abhay N. Pasupathy

The discoveries of numerous exciting phenomena in twisted bilayer graphene (TBG) are stimulating significant investigations on moir\'e structures that possess a tunable moir\'e potential. Optical response can provide insights into the…

A new implementation of stochastic many-body perturbation theory for periodic 2D systems is presented. The method is used to compute quasiparticle excitations in twisted bilayer phosphorene. Excitation energies are studied using stochastic…

Mesoscale and Nanoscale Physics · Physics 2020-04-22 Jacob Brooks , Guorong Weng , Stephanie Taylor , Vojtech Vlcek

We report an experimental study of the elastic properties of a two-dimensional (2D) colloidal crystal subjected to light-induced substrate potentials. In agreement with recent theoretical predictions [H.H. von Gruenberg and J. Baumgartl,…

Soft Condensed Matter · Physics 2009-11-13 Joerg Baumgartl , Maria Zvyagolskaya , Clemens Bechinger