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Interlayer sliding, together with twist angle, is a crucial parameter that defines the atomic registry and thus determines the properties of two-dimensional (2D) material homobilayers. Here, we theoretically demonstrate that controlled…

Mesoscale and Nanoscale Physics · Physics 2025-11-18 Jie Pan , Huanhuan Wang , Lin Zou , Xiaoyu Wang , Lihao Zhang , Xueyan Dong , Haibo Xie , Yi Ding , Yuze Zhang , Takashi Taniguchi , Kenji Watanabe , Shuxi Wang , Zhe Wang

We investigate the electronic structure of alternating-twist triple Bernal-stacked bilayer graphene (t3BG) as a function of interlayer coupling $\omega$, twist angle $\theta$, interlayer potential difference $\Delta$, and top-bottom…

Mesoscale and Nanoscale Physics · Physics 2022-06-22 Jiseon Shin , Bheema Lingam Chittari , Yunsu Jang , Hongki Min , Jeil Jung

We analyze the phase diagram of multilayer-graphene sandwiched between identical transition metal dichalcogenides. Recently realized in all van-der-Wall heterostructures, these sandwiches induce sizable (1-15 meV) spin orbit coupling in the…

Mesoscale and Nanoscale Physics · Physics 2019-01-10 Michael P. Zaletel , Jun Yong Khoo

We study the band structure of phases induced by depositing bilayer graphene on a transition metal dichalcogenide monolayer. Tight-binding and low-energy effective Hamiltonian calculations show that it is possible to induce topologically…

Mesoscale and Nanoscale Physics · Physics 2018-06-20 Abdulrhman M. Alsharari , Mahmoud M. Asmar , Sergio E. Ulloa

Results are presented for an open Floquet topological system represented by Dirac fermions coupled to a circularly polarized laser and an external reservoir. It is shown that when the separation between quasi-energy bands becomes small, and…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 Hossein Dehghani , Aditi Mitra

We predict the existence of a novel Floquet topological insulator in three-dimensional two-band systems, the Floquet Hopf insulator, which possesses two distinct topological invariants. One is the Hopf $\mathbb{Z}$ invariant, a linking…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Thomas Schuster , Snir Gazit , Joel E. Moore , Norman Y. Yao

Twisted graphene layers produce a moir\'e pattern (MP) structure with a predetermined wavelength for given twist angle. However, predicting the membrane corrugation amplitude for any angle other than pure AB-stacked or AA-stacked graphene…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 M. Neek-Amal , P. Xu , D. Qi , P. M. Thibado , L. O. Nyakiti , V. D. Wheeler , R. L. Myers-Ward , C. R. Eddy , D. K. Gaskill , F. M. Peeters

This article reviews progress in the theoretical modelling of the electronic structure of rotationally faulted multilayer graphenes. In these systems the crystallographic axes of neighboring layers are misaligned so that the layer stacking…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 E. J. Mele

At a discrete set of magic angles, twisted bilayer graphene has been shown to host extraordinarily flat bands, correlated insulating states, unconventional superconductivity, and distinct Landau level degeneracies. In this work, we design a…

Mesoscale and Nanoscale Physics · Physics 2021-10-04 Ayush Singh , Colin Benjamin

In twisted bilayer graphene (TBLG), chiral tunneling can be tuned by parameters such as the twist angle, barrier height, and Fermi energy. This differs from the tunneling behavior observed in monolayer and Bernal bilayer graphene, where…

Mesoscale and Nanoscale Physics · Physics 2025-07-29 Nadia Benlakhouy , El Mustapha Feddi , Abdelouahed El Fatimy

Twisted graphene bilayers develop highly localised states around AA-stacked regions for small twist angles. We show that interaction effects may induce either an antiferromagnetic (AF) and a ferromagnetic (F) polarization of said regions,…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Luis A. Gonzalez-Arraga , J. L. Lado , Francisco Guinea , Pablo San-Jose

We study how electrons move across a graphene sheet when it encounters two magnetic barriers with a region in between that is continuously driven by laser light. Rather than acting as a static obstacle, this illuminated middle section…

Mesoscale and Nanoscale Physics · Physics 2025-12-04 Rachid El Aitouni , Miloud Mekkaoui , Pablo Díaz , David Laroze , Ahmed Jellal

We propose a generic scattering matrix model implementable in photonics to engineer a new Floquet metallic phase that combines two distinct topological properties: the winding of the bulk bands and the existence of robust chiral edge…

Mesoscale and Nanoscale Physics · Physics 2022-03-07 Lavi Kumar Upreti , Clément Evain , Stephane Randoux , Pierre Suret , Alberto Amo , Pierre Delplace

Starting from the strong-coupling limit of an extended Hubbard model, we develop a spin-fermion theory to study the insulating phase and pairing symmetry of the superconducting phase in twisted bilayer graphene. Assuming that the insulating…

Superconductivity · Physics 2020-05-20 Xingyu Gu , Chuan Chen , Jia Ning Leaw , Evan Laksono , Vitor M. Pereira , Giovanni Vignale , Shaffique Adam

Higher-order topological insulators are newly proposed topological phases of matter, whose bulk topology manifests as localized modes at two- or higher-dimensional lower boundaries. In this work, we propose the twisted bilayer graphenes…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Moon Jip Park , Youngkuk Kim , Gil Young Cho , SungBin Lee

The domain walls between AB- and BA-stacked gapped bilayer graphene have garnered intense interest as they host topologically-protected, valley-polarised transport channels. The introduction of a twist angle between the bilayers and the…

Mesoscale and Nanoscale Physics · Physics 2023-09-06 Nina C. Georgoulea , Nuala M. Caffrey , Stephen R. Power

We evaluate the electronic transmission and conductance in bilayer graphene through a finite number of potential barriers. Further, we evaluate the dispersion relation in a bilayer graphene superlattice with a periodic potential applied to…

Mesoscale and Nanoscale Physics · Physics 2011-01-21 M. Barbier , P. Vasilopoulos , F. M. Peeters , J. Milton Pereira

Correlated insulators and superconductivity have been observed in "magic-angle" twisted bilayer graphene, when the nearly flat bands close to neutrality are partially filled. While a momentum-space continuum model accurately describes these…

Strongly Correlated Electrons · Physics 2019-06-04 Hoi Chun Po , Liujun Zou , T. Senthil , Ashvin Vishwanath

Atomically thin van der Waals materials stacked with an interlayer twist have proven to be an excellent platform towards achieving gate-tunable correlated phenomena linked to the formation of flat electronic bands. In this work we…

Exotic topological states of matter such as Floquet topological insulator or Floquet Weyl semimetal can be induced by periodic driving. This work proposes a Floquet semimetal with Floquet-band holonomy. That is, the system is gapless, but…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 Longwen Zhou , Chong Chen , Jiangbin Gong