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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

Hexagonal boron nitride is an ideal dielectric to form two-dimensional heterostructures due to the fact that it can be exfoliated to be just few atoms thick and its a very low density of defects. By placing graphene nanoribbons on high…

Mesoscale and Nanoscale Physics · Physics 2018-11-28 Yohanes S. Gani , D. S. L. Abergel , Enrico Rossi

We analyze the electronic structure of twisted bilayer graphene (TBG) nanoribbons close to the magic angle. We describe a transition from an incomplete to a complete moir\'e structure. By considering zigzag and armchair edge terminations,…

Mesoscale and Nanoscale Physics · Physics 2023-09-14 Elias Andrade , Pierre A. Pantaleón , Francisco Guinea , Gerardo G. Naumis

This letter presents our findings on the recursive band gap engineering of chiral fermions in bilayer graphene doubly aligned with hBN. By utilizing two interfering moir\'{e} potentials, we generate a supermoir\'{e} pattern which…

Moir\'e systems featuring flat electronic bands exhibit a vast landscape of emergent exotic quantum states, making them one of the resourceful platforms in condensed matter physics in recent times. Tuning these systems via twist angle and…

Mesoscale and Nanoscale Physics · Physics 2025-09-30 Jin Jiang , Qixuan Gao , Zekang Zhou , Cheng Shen , Mario Di Luca , Emily Hajigeorgiou , Kenji Watanabe , Takashi Taniguchi , Mitali Banerjee

The bands of graphite are extremely sensitive to topological defects which modify the electronic structure. In this paper we found non-dispersive flat bands no farther than 10 meV of the Fermi energy in slightly twisted bilayer graphene as…

Mesoscale and Nanoscale Physics · Physics 2010-12-21 E. Suárez Morell , J. D. Correa , P. Vargas , M. Pacheco , Z. Barticevic

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

Graphene bilayer systems are known to exhibit a band gap when the layer symmetry is broken, by applying a perpendicular electric field. The resulting band structure resembles that of a conventional semiconductor with a parabolic dispersion.…

Mesoscale and Nanoscale Physics · Physics 2015-07-03 Søren Schou Gregersen , Jesper Goor Pedersen , Stephen R. Power , Antti-Pekka Jauho

We investigate the electronic structure of a twisted multilayer graphene system forming a moir\'e pattern. We consider small twist angles separating the graphene sheets and develop a low-energy theory to describe the coupling of Dirac Bloch…

Mesoscale and Nanoscale Physics · Physics 2019-07-17 Christophe Mora , Nicolas Regnault , B. Andrei Bernevig

We review the electronic properties of bilayer graphene, beginning with a description of the tight-binding model of bilayer graphene and the derivation of the effective Hamiltonian describing massive chiral quasiparticles in two parabolic…

Mesoscale and Nanoscale Physics · Physics 2013-04-23 Edward McCann , Mikito Koshino

Recent progress in preparing well controlled 2D van der Waals heterojunctions has opened up a new frontier in materials physics. In this paper we address the intriguing energy gaps that are sometimes observed when a graphene sheet is placed…

Mesoscale and Nanoscale Physics · Physics 2015-02-23 Jeil Jung , Ashley DaSilva , Allan H. MacDonald , Shaffique Adam

The work presents a study on the quantum theory of periodic graphs applied to mono- and bilayer hexagonal materials. Different parameters associated with the atoms present at the vertices of these materials were analyzed, verifying the…

Mathematical Physics · Physics 2024-05-28 Osmar N. Souza

The family of moir\'e materials provides a powerful platform for tuning interlayer couplings via the twist angle in systems with large spatial periodicity. In trilayer graphene systems, interlayer couplings at the two interfaces can…

Mesoscale and Nanoscale Physics · Physics 2025-04-09 Wei-En Tseng , Mei-Yin Chou

We investigate the electronic and optical properties of lateral heterostructures made of alternated armchair ribbons of graphene and hexagonal boron nitride. It is known that the gapwidth of these heterostructures can be classified into…

Materials Science · Physics 2026-01-22 Elisa Serrano Richaud , Sylvain Latil , Lorenzo Sponza

Spontaneous symmetry-breaking, where the ground state of a system has lower symmetry than the underlying Hamiltonian, is ubiquitous in physics. It leads to multiply-degenerate ground states, each with a different "broken" symmetry labeled…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Jonathan S. Alden , Adam W. Tsen , Pinshane Y. Huang , Robert Hovden , Lola Brown , Jiwoong Park , David A. Muller , Paul L. McEuen

We investigate the adsorption of graphene sheets on h-BN substrates by means of first-principles calculations in the framework of adiabatic connection fluctuation-dissipation theory in the random phase approximation. We obtain adhesion…

Mesoscale and Nanoscale Physics · Physics 2011-12-14 B. Sachs , T. O. Wehling , M. I. Katsnelson , A. I. Lichtenstein

We introduce a minimum tight-binding model with only three parameters extracted from graphene and untwisted bilayer graphene. This model reproduces quantitatively the electronic structure of not only these two systems and bulk graphite near…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 Xianqing Lin , David Tománek

Twisted double bilayer graphene has recently emerged as an interesting moir\'e material that exhibits strong correlation phenomena that are tunable by an applied electric field. Here we study the atomic and electronic properties of three…

We investigate the electronic band structure and the proximity exchange effect in bilayer graphene on a family of ferromagnetic multilayers Cr$_2$X$_2$Te$_6$, X=Ge, Si, and Sn, with first principles methods. In each case the intrinsic…

Mesoscale and Nanoscale Physics · Physics 2018-07-10 Klaus Zollner , Martin Gmitra , Jaroslav Fabian

Applying long wavelength periodic potentials on quantum materials has recently been demonstrated to be a promising pathway for engineering novel quantum phases of matter. Here, we utilize twisted bilayer boron nitride (BN) as a moir\'e…