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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…

Electrons in quantum materials exhibiting coexistence of dispersionless (flat) bands piercing dispersive (steep) bands can give rise to strongly correlated phenomena, and are associated with unconventional superconductivity. It is known…

Strongly Correlated Electrons · Physics 2020-06-01 Stephen Carr , Chenyuan Li , Ziyan Zhu , Efthimios Kaxiras , Subir Sachdev , Alex Kruchkov

We study structural and electronic properties of graphene grown on SiC substrate using scanning tunneling microscope (STM), spot-profile-analysis low energy electron diffraction (SPA-LEED) and angle resolved photoemission spectroscopy…

Mesoscale and Nanoscale Physics · Physics 2017-07-19 Lunan Huang , Yun Wu , M. T. Hershberger , Daixiang Mou , Ben Schrunk , Michael C. Tringides , Myron Hupalo , Adam Kaminski

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…

We theoretically study the effect of magnetic moir\'e superlattice on the topological surface states by introducing a continuum model of Dirac electrons with a single Dirac cone moving in the time-reversal symmetry breaking periodic…

Mesoscale and Nanoscale Physics · Physics 2022-07-15 Zhaochen Liu , Huan Wang , Jing Wang

Graphene-based superlattice (SL) formed by a periodic gap modulation is studied theoretically using a Dirac-type Hamiltonian. Analyzing the dispersion relation we have found that new Dirac points arise in the electronic spectrum under…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 G. M. Maksimova , E. S. Azarova , A. V. Telezhnikov , V. A. Burdov

Annealing the Ru metal that typically contains residual carbon impurities offers a facile way to grow graphene on Ru(0001) at the macroscopic scale. Two superstructures of the graphene/Ru(0001) interface with periodicities of 3.0-nm and…

Materials Science · Physics 2011-11-09 De-en Jiang , Mao-Hua Du , Sheng Dai

An incommensurate charge density wave is a periodic modulation of charge that breaks translational symmetry at a momentum that does not coincide with the primitive lattice vectors. Its Goldstone excitation, the phason, comprises collective…

Strongly Correlated Electrons · Physics 2026-05-05 Paula Mellado , Francisco Muñoz , Javiera Cabezas-Escares

The electronic structure of graphene on Cu(111) and Cu(100) single crystals is investigated using low energy electron microscopy, low energy electron diffraction and angle resolved photoemission spectroscopy. On both substrates the graphene…

So far the physics of moir\'e graphene bilayers at large, incommensurate rotation angles has been considered uninteresting. It has been held that the interlayer coupling in such structures is weak and the system can be thought of as a pair…

Mesoscale and Nanoscale Physics · Physics 2019-11-01 Hridis K. Pal , Stephen Spitz , Markus Kindermann

The nonlinear frequencies of pre-stressed graphene-based structures, such as flat graphene sheets and carbon nanotubes, are calculated. These structures are modeled with a nonlinear hyperelastic shell model. The model is calibrated with…

Computational Engineering, Finance, and Science · Computer Science 2018-04-03 Reza Ghaffari , Roger A. Sauer

Layers of two-dimensional materials stacked with a small twist-angle give rise to beating periodic patterns on a scale much larger than the original lattice, referred to as a moir\'e superlattice. When the stacking involves more than two…

Mesoscale and Nanoscale Physics · Physics 2020-12-03 Kan-Ting Tsai , Xi Zhang , Ziyan Zhu , Yujie Luo , Stephen Carr , Mitchell Luskin , Efthimios Kaxiras , Ke Wang

Recently, moir\'e superlattices have been found on the surface of topological insulators (TI) due to the rotational misalignment of topmost layers. In this work, we study the effects of moir\'e superlattices on the topological surface…

Superconductivity · Physics 2021-05-03 Taige Wang , Noah F. Q. Yuan , Liang Fu

Vertical van der Waals (vdW) heterostructures consisting of graphene (Gr) and transition metal dichalcogenides (TMDs) have created a fascinating platform for exploring optical and electronic properties in the two-dimensional limit. Previous…

Two experimental studies reported the spontaneous formation of amorphous and crystalline structures of C60 intercalated between graphene and a substrate. They observed interesting phenomena ranging from reaction between C60 molecules under…

Mesoscale and Nanoscale Physics · Physics 2019-10-21 Alexandre F. Fonseca , Sócrates O. Dantas , Douglas S. Galvão , Difan Zhang , Susan B. Sinnott

One-dimensional (1D) graphene superlattices have been predicted to exhibit zero-energy modes a decade ago, but an experimental proof has remained missing. Motivated by a recent experiment that could possibly shed light on this, here we…

Mesoscale and Nanoscale Physics · Physics 2020-12-15 Wun-Hao Kang , Szu-Chao Chen , Ming-Hao Liu

We demonstrate the electrical control of topological interface modes at the interface between a graphene-based photonic superlattice and a uniform dielectric medium. Specifically, by integrating graphene sheets into the unit cell of…

Optics · Physics 2025-09-22 Hanying Deng , Jing Deng , Yiling Chen , Yingji He , Fangwei Ye

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…

When monolayer graphene is crystallographically aligned to hexagonal boron nitride (BN), a moir\'e superlattice is formed, producing characteristic satellite Dirac peaks in the electronic band structure. Aligning a second BN layer to…

Two-dimensional (2D) materials naturally form moir\'{e} patterns with other crystalline layers, such as other 2D material or the surface of a substrate. These patterns add a nanoscale characteristic length in the form of a superlattice: the…

Mesoscale and Nanoscale Physics · Physics 2023-12-12 Nicolas Rougemaille , Johann Coraux