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Related papers: Moir\'{e} phonons in the twisted bilayer graphene

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We theoretically study in-plane acoustic phonons of graphene/hexagonal boron nitride moir\'e superlattice by using a continuum model. We demonstrate that the original phonon bands of individual layers are strongly hybridized and…

Mesoscale and Nanoscale Physics · Physics 2023-03-03 Lukas P. A. Krisna , Mikito Koshino

We develop a low-energy continuum model for phonons in twisted moir\'e bilayers, based on a configuration-space approach. In this approach, interatomic force constants are obtained from density functional theory (DFT) calculations of…

Mesoscale and Nanoscale Physics · Physics 2023-05-12 Jonathan Z. Lu , Ziyan Zhu , Mattia Angeli , Daniel T. Larson , Efthimios Kaxiras

Moir\'e phonons describe collective vibrations of a moir\'e superlattice produced by long-wavelength relative displacements of the constituent layers. Despite coming from the backfolding of the acoustic phonons of the individual layers,…

Mesoscale and Nanoscale Physics · Physics 2026-01-13 Alejandro Ramos-Alonso , Hector Ochoa

We construct an analytic continuum model to describe the electronic structure and the electron-phonon interaction in twisted bilayer graphenes with arbitrary lattice deformation. Starting from the tight-binding model, we derive the…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 Mikito Koshino , Nguyen N. T. Nam

We theoretically investigated phonon dispersion in AA-stacked, AB-stacked and twisted bilayer graphene with various rotation angles. The calculations were performed using the Born-von-Karman model for the intra-layer atomic interactions and…

Mesoscale and Nanoscale Physics · Physics 2013-07-19 Alexandr I. Cocemasov , Denis L. Nika , Alexander A. Balandin

In this work, we present a theoretical research on the lattice relaxations, phonon properties, and relaxed electronic structures in magic-angle twisted bilayer graphene (TBG). We construct a continuum elastic model in order to study the…

Mesoscale and Nanoscale Physics · Physics 2024-01-30 Bo Xie , Jianpeng Liu

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

Twisted trilayer graphene is a particularly promising moir\'e superlattice system, due to its tunability, strong superconductivity, and complex electronic symmetry breaking. Motivated by these properties, we study lattice relaxation and the…

Mesoscale and Nanoscale Physics · Physics 2022-12-23 Rhine Samajdar , Yanting Teng , Mathias S. Scheurer

We develop a theoretical framework for probing moir\'e phonon modes using Raman spectroscopy, and illustrate it with the example of twisted bilayer graphene (TBG). These moir\'e phonons arise from interlayer sliding motion in twisted 2D…

Strongly Correlated Electrons · Physics 2025-06-24 Vitor Dantas , Héctor Ochoa , Rafael M. Fernandes , Natalia B. Perkins

We investigate the domain wall network in twisted bilayer graphene (TBG) under the influence of interlayer bias and screening effect from the layered structure. Starting from the continuum model, we analyze the low-energy domain wall modes…

Mesoscale and Nanoscale Physics · Physics 2024-07-22 Hao-Chien Wang , Chen-Hsuan Hsu

Electron-phonon coupling in magic-angle twisted bilayer graphene is an important but difficult topic. We propose a scheme to simplify and understand this problem. Weighted by the coupling strength with the low-energy heavy electrons ($f$…

Mesoscale and Nanoscale Physics · Physics 2025-04-17 Hao Shi , Wangqian Miao , Xi Dai

We present a computational study of the phonon linewidths in twisted bilayer graphene arising from electron-phonon interactions and anharmonic effects. The electronic structure is calculated using distance-dependent transfer integrals based…

Mesoscale and Nanoscale Physics · Physics 2024-10-10 Shinjan Mandal , Indrajit Maity , H. R. Krishnamurthy , Manish Jain

The phonon dispersions of monolayer and few-layer graphene (AB bilayer, ABA and ABC trilayers) are investigated using the density-functional perturbation theory (DFPT). Compared with the monolayer, the optical phonon $E_{2g}$ mode at…

Materials Science · Physics 2009-11-13 Jia-An Yan , W. Y. Ruan , M. Y. Chou

Magic-angle twisted bilayer graphene (TBG) has attracted significant interest recently due to the discoveries of diverse correlated and topological states in this system. Despite the extensive research on the electron-electron interaction…

Mesoscale and Nanoscale Physics · Physics 2022-10-13 Xiaoqian Liu , Ran Peng , Zhaoru Sun , Jianpeng Liu

Density functional perturbation theory is used to analyze electron-phonon interaction in bilayer graphene. The results show that phonon scattering in bilayer graphene bears more resemblance with bulk graphite than monolayer graphene. In…

Mesoscale and Nanoscale Physics · Physics 2010-11-29 K. M. Borysenko , J. T. Mullen , X. Li , Y. G. Semenov , J. M. Zavada , M. Buongiorno Nardelli , K. W. Kim

Lattice dynamics play a crucial role in the physics of Moir\'e systems. In twisted bilayer graphene (TBG), it was shown that, in addition to the graphene phonons, there is another set of gapless excitations termed Moir\'e Phonons [Phys.…

Mesoscale and Nanoscale Physics · Physics 2022-08-23 Qiang Gao , Eslam Khalaf

Conduction between graphene layers is suppressed by momentum conservation whenever the layer stacking has a rotation. Here we show that phonon scattering plays a crucial role in facilitating interlayer conduction. The resulting dependence…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 V. Perebeinos , J. Tersoff , Ph. Avouris

The elastic collective modes of a moir\'e superlattice arise not from vibrations of a rigid crystal but from the relative displacement between the constituent layers. Despite their similarity to acoustic phonons, these modes, called…

Mesoscale and Nanoscale Physics · Physics 2022-02-23 Héctor Ochoa , Rafael M. Fernandes

The electronic and vibrational properties of 2D materials are dramatically altered by the formation of a moir\'e superlattice. The lowest-energy phonon modes of the superlattice are two acoustic branches (called phasons) that describe the…

Twisted 2D materials exhibit unique vibrational modes called moir\'e phonons, which arise from the moir\'e superlattice. Here, we demonstrate atom-by-atom imaging of phasons, an ultrasoft class of moir\'e phonons in twisted bilayer WSe2.…

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