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The presence of interlayer interactions in twisted bilayer graphene (TBG) enhances several characteristics, including the optical and electrical properties. We theoretically investigate the magic angle of TBG according to the vanishing of…

Mesoscale and Nanoscale Physics · Physics 2024-05-15 Yong-Mei Zhang , Mauro Antezza , Jian-Sheng Wang

We analyze the scattering sector of the Hamiltonians for both gapless and gapped graphene in the presence of a charge impurity using the 2D Dirac equation, which is applicable in the long wavelength limit. We show that for certain range of…

Mesoscale and Nanoscale Physics · Physics 2011-04-07 Kumar S. Gupta , Andjelo Samsarov , Siddhartha Sen

We introduce twisted trilayer graphene (tTLG) with two independent twist angles as an ideal system for the precise tuning of the electronic interlayer coupling to maximize the effect of correlated behaviors. As established by experiment and…

Mesoscale and Nanoscale Physics · Physics 2020-10-12 Ziyan Zhu , Stephen Carr , Daniel Massatt , Mitchell Luskin , Efthimios Kaxiras

In this review, we provide an in-depth description of the physics of monolayer and bilayer graphene from a theorist's perspective. We discuss the physical properties of graphene in an external magnetic field, reflecting the chiral nature of…

Materials Science · Physics 2014-11-20 D. S. L. Abergel , V. Apalkov , J. Berashevich , K. Ziegler , Tapash Chakraborty

We discuss the effect of long-range interactions within the self-consistent Hartree-Fock (HF) approximation in comparison to short-range atomic Hubbard interactions on the band structure of twisted bilayer graphene (TBG) at charge…

We have investigated the effects of inplane and interplane nearest neighbour overlap integrals ($s_0$ and $s_1$) and site energy difference between atoms in two different sublattices in the same graphene layer ($\Delta$) on the electronic…

Materials Science · Physics 2009-07-27 Rupali Kundu

The scattering of two-dimensional massless Dirac fermions from local spin-orbit interactions with an origin in dilute concentrations of physisorbed atomic species on graphene is theoretically investigated. The hybridization between graphene…

Mesoscale and Nanoscale Physics · Physics 2014-08-21 Alexandre Pachoud , Aires Ferreira , B. Özyilmaz , A. H. Castro Neto

The electronic properties of junctions defined electrostatically on twisted bilayer graphene can be addressed theoretically using lattice models. Recent works have introduced minimal local orbital models to describe twisted bilayer graphene…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 M. Alvarado , A. Levy Yeyati

In graphene, charged defects break the electron-hole symmetry and can even give rise to exotic collapse states when the defect charge exceeds a critical value which is proportional to the Fermi velocity. In this work, we investigate the…

Interlayer coupling in rotationally faulted graphene multilayers breaks the local sublattice-symmetry of the individual layers. We present a theory of this mechanism, which reduces to an effective Dirac model with space-dependent mass in an…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. Kindermann , P. N. First

We investigate the topological heavy-fermion (THF) model of magic-angle twisted bilayer graphene (MATBG) in the projected limit, where only the flat bands are present in the low-energy spectrum. Such limit has been previously analyzed in…

Strongly Correlated Electrons · Physics 2025-10-20 Haoyu Hu , Zhi-Da Song , B. Andrei Bernevig

Moir\'e superlattices in the twisted bilayer graphene provide an unprecedented platform to investigate a wide range of exotic quantum phenomena. Recently, the twist degree of freedom has been introduced into various classical wave systems,…

Mesoscale and Nanoscale Physics · Physics 2021-12-01 Weixuan Zhang , Deyuan Zou , Qingsong Pei , Wenjing He , Houjun Sun , Xiangdong Zhang

Staking layered materials revealed to be a very powerful method to tailor their electronic properties. It has indeed been theoretically and experimentally shown that twisted bilayers of graphene (tBLG) with a rotation angle $\theta$,…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Omid Faizy Namarvar , Ahmed Missaoui , Laurence Magaud , Didier Mayou , Guy Trambly de Laissardière

Twisted bilayer graphene (TBLG) has recently emerged as a versatile platform for studying a variety of exotic transport phenomena. Here, we present a theoretical study of near-field thermal radiation between suspended TBLG with a focus on…

Mesoscale and Nanoscale Physics · Physics 2022-02-21 Fuwei Yang , Bai Song

Moir\'e superlattices are generally assumed to act only at the interface where lattice mismatch or twist occurs. Here, we study charge transport in large-angle helical twisted trilayer graphene, where interlayer tunneling is strongly…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 Dohun Kim , Junsik Choe , Takashi Taniguchi , Kenji Watanabe , Gil Young Cho , Youngwook Kim

We consider magnetic breakdown in twisted bilayer graphene where electrons may hop between semiclassical $k$-space trajectories in different layers. These trajectories within a doubled Brillouin zone constitute a network in which an…

Mesoscale and Nanoscale Physics · Physics 2014-02-11 Chi-Ken Lu , H. A. Fertig

Energy band structure of the bilayer graphene superlattices with zero-averaged periodic $\delta$-function potentials are studied within the four-band continuum model. Using the transfer matrix method, studies are mainly focused on examining…

Mesoscale and Nanoscale Physics · Physics 2014-10-14 C. Huy Pham , V. Lien Nguyen

We present a theoretical investigation of the emergence of chiral topological superconductivity in small-angle twisted bilayer graphene (tBLG) and twisted double bilayer graphene (tDBLG). Using the low-energy continuum model and…

Mesoscale and Nanoscale Physics · Physics 2025-12-22 Kamalesh Bera , Tanay Nag , Arijit Saha

The time evolution of a low-energy two-dimensional Gaussian wave packet in ABC-stacked $n$-layer graphene (ABC-NLG) is investigated. Expectation values of the position $(x,y)$ of center-of-mass and the total probability densities of the…

Mesoscale and Nanoscale Physics · Physics 2020-12-01 I. R. Lavor , D. R. da Costa , Andrey Chaves , S. H. R. Sena , G. A. Farias , B. Van Duppen , F. M. Peeters

Nanofluidics is pivotal in fundamental research and diverse applications, from water desalination to energy harvesting and biological analysis. Dynamically manipulating nanofluidic properties, such as diffusion and friction, presents an…

Chemical Physics · Physics 2023-12-13 Chenxing Liang , Narayana R Aluru