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This work theoretically analyzes electronic ordering in AA-stacked bilayer graphene and the role of the Coulomb interaction in these many-body phenomena. Using the random phase approximation to account for screening, we find intra-layer…

Superconductivity · Physics 2024-10-15 A. O. Sboychakov , A. L. Rakhmanov , A. V. Rozhkov

We calculate the conductivity of arbitrarily stacked multilayer graphene sheets within a relaxation time approximation, considering both short-range and long-range impurities. We theoretically investigate the feasibility of identifying the…

Mesoscale and Nanoscale Physics · Physics 2011-05-20 Hongki Min , Parakh Jain , S. Adam , M. D. Stiles

The electronic property of monolayer-bilayer hybrid graphene with a zigzag interface is studied by both the Dirac equation and numerical calculation. There are two types of zigzag interface stacks. The dispersion and local density of states…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Zi-Xiang Hu , Wenxin Ding

The quantum Hall effects in the sliding bilayer graphene and AAB-stacked trilayer system are investigated by the Kubo formula and the generalized tight-binding model. The various stacking configurations can greatly diversify the magnetic…

Materials Science · Physics 2017-11-22 Thi-Nga Do , Cheng-Peng Chang , Po-Hsin Shih , Ming-Fa Lin

We have surveyed the in-plane transport properties of the graphene twist bilayer using (i) a low-energy effective Hamiltonian for the underlying electronic structure, (ii) an isotropic elastic phonon model, and (iii) the linear Boltzmann…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 N. Ray , M. Fleischmann , D. Weckbecker , S. Sharma , O. Pankratov , S. Shallcross

Motivated by recent low-temperature magnetoresistance measurements in twisted bilayer graphene aligned with hexagonal Boron Nitride substrate, we perform a systematic study of possible symmetry breaking orders in this device at a filling of…

Strongly Correlated Electrons · Physics 2020-04-29 Shubhayu Chatterjee , Nick Bultinck , Michael P. Zaletel

The appearance of topologically protected states at the surface of an ordinary insulator is a rare occurrence and to date only a handful of materials are known for having this property. An intriguing question concerns the possibility of…

Mesoscale and Nanoscale Physics · Physics 2014-07-16 Igor Popov , Mauro Mantega , Awadhesh Narayan , Stefano Sanvito

Tight-binding calculations predict that the AA-stacked graphene bilayer has one electron and one hole conducting bands, and that the Fermi surfaces of these bands coincide. We demonstrate that as a result of this degeneracy, the bilayer…

Mesoscale and Nanoscale Physics · Physics 2012-11-30 A. L. Rakhmanov , A. V. Rozhkov , A. O. Sboychakov , Franco Nori

Bilayer graphene is normally a semimetal with parabolic dispersion, but a tunable bandgap up to few hundreds meV can be opened by breaking the symmetry between the layers through an external potential. Ab-initio calculations show that the…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 Simone De Liberato

An energy gap can be opened in the electronic spectrum of graphene by lifting its sublattice symmetry. In bilayers, it is possible to open gaps as large as 0.2 eV. However, these gaps rarely lead to a highly insulating state expected for…

A transformation of the band structure in bilayer graphene (BLG) with relatively shifted layers has been studied in the framework of the tight-binding model. BLG is demonstrated to remain a zero-gap material in the whole range of…

Mesoscale and Nanoscale Physics · Physics 2014-01-07 V. G. Litovchenko , A. I. Kurchak , M. V. Strikha

Controlling the stacking and rotational registry of graphene layers provides a powerful handle on atomic-scale structural reconstructions that alter the electronic landscape at the nanoscale. In particular, this governs how massless and…

In multilayer graphene, the stacking order of the layers plays a crucial role in the electronic properties and the manifestation of superconductivity. By applying shear stress, it is possible to induce sliding between different layers,…

Mesoscale and Nanoscale Physics · Physics 2025-11-11 Jean Paul Nery , Lorenzo Monacelli , Francesco Mauri

Since the discovery of superconductivity and correlated insulator at fractional electron fillings in the twisted bilayer graphene, most theoretical efforts have been focused on describing this system in terms of an effective extended…

Strongly Correlated Electrons · Physics 2019-04-24 Xiao-Chuan Wu , Chao-Ming Jian , Cenke Xu

The electron transmission between monolayer and bilayer graphene is theoretically studied for zigzag and armchair boundaries within an effective-mass scheme. Due to the presence of an evanescent wave in the bilayer graphene, traveling modes…

Mesoscale and Nanoscale Physics · Physics 2010-09-17 Takeshi Nakanishi , Mikito Koshino , Tsuneya Ando

Materials with flat electronic bands often exhibit exotic quantum phenomena owing to strong correlations. Remarkably, an isolated low-energy flat band can be induced in bilayer graphene by simply rotating the layers to 1.1$^{\circ}$,…

Mesoscale and Nanoscale Physics · Physics 2019-01-29 Matthew Yankowitz , Shaowen Chen , Hryhoriy Polshyn , K. Watanabe , T. Taniguchi , David Graf , Andrea F. Young , Cory R. Dean

Our proposed spin valve prototype showcases a sophisticated design featuring a two-dimensional graphene bilayer positioned between layers of ${CrBr}_3$ ferromagnetic insulators. In this model, proximity coupling plays a pivotal role,…

Mesoscale and Nanoscale Physics · Physics 2025-11-12 S. K. Behera , P. C. Ramamurthy

Kagome lattice bilayers offer unique opportunities for engineering electronic properties through interlayer stacking and strain. We report a comprehensive first-principles study of Pd$_3$O$_2$Cl$_2$ kagome bilayers, examining four stacking…

Materials Science · Physics 2025-12-22 Ziao Yang , Chidiebere I. Nwaogbo

While the exponential decay of tunneling probability with barrier thickness is well known, the accompanying oscillations with thickness have been comparatively less explored. Using a tight binding model, we investigate an AB-stacked bilayer…

Mesoscale and Nanoscale Physics · Physics 2025-07-11 Ryo Tamura

Recent studies have reported emergent ferroelectric behavior in twisted or moir\'e-engineered graphene-based van der Waals heterostructures, yet the microscopic origin of this effect remains under debate. Pristine mono- or few-layer…

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