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We present an analytical model to study the electronic properties, including full band structure, low energy dispersions around the Dirac point and density of states of the ABC-stacking $N$-layer graphene (ABCNLG). An ABCNLG can be…

Mesoscale and Nanoscale Physics · Physics 2017-04-25 Cheng-Peng Chang

We observed distinct interlayer shear mode Raman spectra for trilayer graphene with ABA and ABC stacking order. There are two rigid-plane shear-mode phonon branches in trilayer graphene. We found that ABA trilayers exhibit pronounced Raman…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Chun Hung Lui , Zhipeng Ye , Courtney Keiser , Eduardo B. Barros , Rui He

Bilayer graphene is a maturing material platform for gate-defined quantum dots that hosts long-lived spin and valley states. Implementing solid-state qubits in bilayer graphene requires a fundamental understanding of such confined…

The parameters of the triangular domain wall network in bilayer graphene with a simultaneously twisted and biaxially stretched bottom layer are studied using the two-chain Frenkel-Kontorova model. It is demonstrated that if the graphene…

Mesoscale and Nanoscale Physics · Physics 2020-01-30 Irina V. Lebedeva , Andrey M. Popov

The absence of an energy gap separating valence and conduction bands makes the low-energy electronic properties of graphene and its multi-layers sensitive to electron-electron interactions. In bilayers, for instance, interactions are…

A conversion of AA- to AB-stacking bilayer graphene (BLG) due to interlayer interaction is demonstrated. Two types of interlayer interactions, an attractive and a repulsive, between the Boron and Nitrogen dopant atoms in BLG are found. In…

Mesoscale and Nanoscale Physics · Physics 2022-04-05 Nzar Rauf Abdullah , Hunar Omar Rashid , Chi-Shung Tang , Andrei Manolescu , Vidar Gudmundsson

Mechanical cantilevers are central to nanotechnology, with ultimate sensitivity achieved at the atomic limit, where low bending rigidity makes stability the fundamental challenge. Here, we introduce a wrinkle-induced stiffening approach…

Mesoscale and Nanoscale Physics · Physics 2025-08-25 Hadi Arjmandi-Tash , Roshan Prasad , Hanqing Liu , Gerard Verbiest , Dominic Vella , Farbod Alijani

The mechanical behaviour of graphene flakes under both tension and compression is examined using a cantilever-beam arrangement. Two different sets of samples were employed involving flakes just supported on a plastic bar but also embedded…

Graphene is considered a promising candidate to replace conventional transparent conductors due to its low opacity, high carrier mobility and flexible structure. Multi-layer graphene or stacked single layer graphenes have been investigated…

Mesoscale and Nanoscale Physics · Physics 2011-12-07 Seunghyun Lee , Kyunghoon Lee , Chang-Hua Liu , Zhaohui Zhong

In this paper, we analytically investigate the electronic structure of Bernal stacking (AB stacking) graphene evolving from monolayer (a zero-gap semiconductor with a linear Dirac-like spectrum around the Fermi energy) to multi-layer…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Z. F. Wang , Huaixiu Zheng , Q. W. Shi , Jie Chen , Jinlong Yang , J. G. Hou

Besides the plenty of applications of graphene allotropes in condensed matter and nanotechnology, we argue that graphene sheets might be engineered to support room-temperature topological quantum processing of information. The argument is…

Quantum Physics · Physics 2012-09-13 Annalisa Marzuoli , Giandomenico Palumbo

Within a minimal model, we present analytical expressions for the eigenstates and eigenvalues of carriers confined in quantum rings in monolayer and bilayer graphene. The calculations were performed in the context of the continuum model, by…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 M. Zarenia , J. Milton Pereira , A. Chaves , F. M. Peeters , G. A. Farias

The ABC-stacked N-layer-graphene family of two-dimensional electron systems is described at low energies by two remarkably flat bands with Bloch states that have strongly momentum-dependent phase differences between carbon pi-orbital…

Materials Science · Physics 2010-07-12 Fan Zhang , Bhagawan Sahu , Hongki Min , Allan H. MacDonald

Here we show that twisted graphene trilayer made by misoriented stacking a graphene monolayer on top of a Bernal graphene bilayer can exhibit rich and tailored electronic properties. For the case that the graphene monolayer and bilayer are…

Mesoscale and Nanoscale Physics · Physics 2014-08-13 Jia-Bin Qiao , Lin He

In the twisted trilayer graphene (tTLG) platform, the rich beating patterns between the three graphene layers give rise to a plethora of new length scales and reconstructed electronic bands arising from the emergent moir\'e and…

Mesoscale and Nanoscale Physics · Physics 2025-04-15 Konstantin Davydov , Daochen Long , Jack Alexander Tavakley , Kenji Watanabe , Takashi Taniguchi , Ke Wang

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

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…

Recently a new high-mobility Dirac material, trilayer graphene, was realized experimentally. The band structure of ABA-stacked trilayer graphene consists of a monolayer-like and a bilayer-like pairs of bands. Here we study electronic…

Mesoscale and Nanoscale Physics · Physics 2013-04-08 Maksym Serbyn , Dmitry A. Abanin

Single-particle heat engines at atomic and colloidal scales obey the universal thermodynamic bounds on work and efficiency. Here, we translate these principles to the macroscale by building an athermal Stirling engine whose working medium…

Statistical Mechanics · Physics 2025-12-15 Niloyendu Roy , Pragya Arora , A K Sood , Rajesh Ganapathy

Ballistic transport was studied in a multiple-band system consisting of an antidot lattice of AB-stacked trilayer graphene. The low temperature magnetoresistance showed commensurability peaks arising from matching of the antidot lattice…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Shingo Tajima , Ryoya Ebisuoka , Kenji Watanabe , Takashi Taniguchi , Ryuta Yagi