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The electronic properties of a material depend on the spatial freedom of the electron wavefunction. A well-known example is graphite, which is a conventional gapless semiconductor, while a single layer of it, graphene, exhibits extremely…

Mesoscale and Nanoscale Physics · Physics 2026-01-28 Mohammadamir Bazrafshan , Thomas. D. Kühne

We study the edge magnetization and the local density of states of chiral graphene nanoribbons using a {\pi}-orbital Hubbard model in the mean-field approximation. We show that the inclusion of a realistic next-nearest hopping term in the…

Mesoscale and Nanoscale Physics · Physics 2014-07-04 A. R. Carvalho , J. H. Warnes , C. H. Lewenkopf

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

Since graphene nanoribbons are thin and flimsy, they need support. Support gives firm ground for applications, and adhesion holds ribbons flat, although not necessarily straight: ribbons with high aspect ratio are prone to bend. The effects…

Mesoscale and Nanoscale Physics · Physics 2012-05-18 Pekka Koskinen

The study of moir\'e engineering started with the advent of van der Waals heterostructures in which stacking two-dimensional layers with different lattice constants leads to a moir\'e pattern controlling their electronic properties. The…

Mesoscale and Nanoscale Physics · Physics 2023-08-28 F. Mesple , N. R. Walet , G. Trambly de Laissardière , F. Guinea , D. Dosenovic , H. Okuno , C. Paillet , A. Michon , C. Chapelier , V. T. Renard

Morphology mediates the interplay between the structure and electronic transport in atomically thin nanoribbons such as graphene as the relaxation of edge stresses occurs preferentially via out-of-plane deflections. In the case of…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Hailong Wang , Moneesh Upmanyu

We report a combined nano-photocurrent and infrared nanoscopy study of twisted bilayer graphene (TBG) enabling access to the local electronic phenomena at length scales as short as 20 nm. We show that the photocurrent changes sign at…

Experiments on bilayer graphene unveiled a fascinating realization of stacking disorder where triangular domains with well-defined Bernal stacking are delimited by a hexagonal network of strain solitons. Here we show by means of numerical…

Mesoscale and Nanoscale Physics · Physics 2018-04-13 Fernando Gargiulo , Oleg V. Yazyev

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

We investigate the edge-state magnetism of graphene nanoribbons using projective quantum Monte Carlo simulations and a self-consistent mean-field approximation of the Hubbard model. The static magnetic correlations are found to be short…

Mesoscale and Nanoscale Physics · Physics 2011-06-13 Hélène Feldner , Zi Yang Meng , Thomas C. Lang , Fakher F. Assaad , Stefan Wessel , Andreas Honecker

This work investigates the electronic properties of twisted bilayer graphene (TBG) through computational calculations, with the aim of understanding the emergence of flat bands and conditions favorable for superconductivity close to the…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Rajendra Paudel , Nabin Upadhya Dhakal , Nurapati Pantha

Graphene nanoribbons present diverse electronic properties ranging from semiconducting to half-metallic, depending on their geometry, dimensions and chemical composition. Here we present a route to control these properties via externally…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Oded Hod , Gustavo E. Scuseria

Transport experiments in twisted bilayer graphene revealed multiple superconducting domes separated by correlated insulating states. These properties are generally associated with strongly correlated states in a flat mini-band of the…

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…

We develop a theory for a qualitatively new type of disorder in condensed matter systems arising from local twist-angle fluctuations in two strongly coupled van der Waals monolayers twisted with respect to each other to create a flat band…

Disordered Systems and Neural Networks · Physics 2020-06-30 Justin H. Wilson , Yixing Fu , S. Das Sarma , J. H. Pixley

We study analytically, based on the tight-binding model, the electronic band structure of armchair AA-stacked bilayer graphene nanoribbons (BLGNRs) in several regimes. We apply hard-wall boundary conditions to determine the discretion…

Mesoscale and Nanoscale Physics · Physics 2015-02-10 Yawar Mohammadi , Borhan Arghavani Nia

The effect of an hexagonal boron nitride (hBN) layer close aligned with twisted bilayer graphene (TBG) is studied. At sufficiently low angles between twisted bilayer graphene and hBN, $\theta_{hBN} \lesssim 2^\circ$, the graphene electronic…

Strongly Correlated Electrons · Physics 2020-10-28 Tommaso Cea , Pierre A. Pantaleon , Francisco Guinea

Several numerical studies have shown that the electronic properties of twisted bilayers of graphene (TBLG) and transition metal dichalcogenides (TMDs) are tunable by strain engineering of the stacking layers. In particular, the flatness of…

Mesoscale and Nanoscale Physics · Physics 2023-07-24 Marwa Mannaï , Sonia Haddad

A central question in the field of graphene-related research is how graphene behaves when it is patterned at the nanometer scale with different edge geometries. Perhaps the most fundamental shape relevant to this question is the graphene…

Atomically thin moir\'e materials behave like elastic membranes where at very small twist angles, the van der Waals adhesion energy much exceeds the strain energy. In this ``marginal twist" regime, regions with low adhesion energy expand,…

Mesoscale and Nanoscale Physics · Physics 2025-03-26 Christophe De Beule , Gayani N. Pallewela , Mohammed M. Al Ezzi , Liangtao Peng , E. J. Mele , Shaffique Adam