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Graphene based nanostructures exhibit flat electronic energy bands in their single-particle spectrum. We consider interacting electrons in flat bands of zig-zag nanoribbons. We present a protocol for flat-band projection that yields…

Strongly Correlated Electrons · Physics 2012-03-02 Hao Wang , V. W. Scarola

A review work is done for electronic and optical properties of graphene nanoribbons in magnetic, electric, composite, and modulated fields. Effects due to the lateral confinement, curvature, stacking, non-uniform subsystems and hybrid…

Mesoscale and Nanoscale Physics · Physics 2016-03-10 Hsien-Ching Chung , Cheng-Peng Chang , Chiun-Yan Lin , Ming-Fa Lin

We consider a single band approximation to the random Schroedinger operator in an external magnetic field. The spectrum of such an operator has been characterized in the case where delta impurities are located on the sites of a lattice. In…

Mathematical Physics · Physics 2015-06-26 J. V. Pulé , M. Scrowston

A first-principles investigation of the electronic properties of boron nitride nanoribbons (BNNRs) having either armchair or zigzag shaped edges passivated by hydrogen with widths up to 10 nm is presented. Band gaps of armchair BNNRs…

Materials Science · Physics 2008-08-14 Cheol-Hwan Park , Steven G. Louie

We theoretically investigate effect of a transverse electric field generated by side gates and a vertical electric field generated by top, back gates on energy bands and transport properties of zigzag bilayer graphene ribbons (Bernal…

Mesoscale and Nanoscale Physics · Physics 2016-07-20 Thanh-Tra Vu , Van-Truong Tran

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

We study a model Schr\"odinger operator with constan tmagnetic field on an infinite wedge with natural boundary conditions. This problem is related to the semiclassical magnetic Laplacian on 3d domains with edges. We show that the ground…

Analysis of PDEs · Mathematics 2013-09-25 Nicolas Popoff

The band structures of strained graphene nanoribbons (GNRs) are examined by a tight binding Hamiltonian that is directly related to the type and strength of strains. Compared to the two-dimensional graphene whose band gap remains close to…

Mesoscale and Nanoscale Physics · Physics 2010-01-20 Yang Lu , Jing Guo

The deformation and disintegration of a graphene nanoribbon under external electrostatic fields are investigated by first principle quantum mechanical calculations to establish its stability range. The zigzag edges terminated by various…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Haiming Huang , Zhibing Li , H. J. Kreuzer , Weiliang Wang

We show for a large class of discrete Harper-like and continuous magnetic Schrodinger operators that their band edges are Lipschitz continuous with respect to the intensity of the external constant magnetic field. We generalize a result…

Mathematical Physics · Physics 2015-07-23 Horia D. Cornean

In this work we study analytically and numerically the spectrum and localization properties of three quasi-one-dimensional (ribbons) split-ring resonator arrays which possess magnetic flatbands, namely, the stub, Lieb and kagome lattices,…

Disordered Systems and Neural Networks · Physics 2017-11-22 Dany Lopez-Gonzalez , Mario I. Molina

We studied the Klein paradox in zigzag (ZNR) and anti-zigzag (AZNR) graphene nanoribbons. Due to the fact that ZNR (the number of lattice sites across the nanoribbon (N is even) and AZNR (N is odd) configurations are indistinguishable when…

Materials Science · Physics 2015-05-18 O. Roslyak , A. Iurov , Godfrey Gumbs , Danhong Huang

We study the edge magnetization of bilayer graphene ribbons with zigzag edges. The presence of flat edge-state bands at the Fermi energy of undoped bilayer, which gives rise to a strong peak in the density of states, makes bilayer ribbons…

Mesoscale and Nanoscale Physics · Physics 2008-07-22 Eduardo V. Castro , N. M. R. Peres , J. M. B. Lopes dos Santos

The intrinsic transport properties of zigzag graphene nanoribbons (ZGNRs) are investigated using first principles calculations. It is found that although all ZGNRs have similar metallic band structure, they show distinctly different…

Mesoscale and Nanoscale Physics · Physics 2010-05-04 Zuanyi Li , Haiyun Qian , Jian Wu , Bing-Lin Gu , Wenhui Duan

We consider a generalization of the XXZ model on the sawtooth spin chain with Dzyaloshinskii-Moriya interactions in which all exchange constants (symmetric, antisymmetric, and axial anisotropy) are different for the three different bonds of…

Strongly Correlated Electrons · Physics 2026-05-22 Vadim Ohanyan , Johannes Richter , Michael Sekania , Lucas Giambattista , Alexei Andreanov , Marcus Kollar

One-dimensional Schr\"odinger operators with singular perturbed magnetic and electric potentials are considered. We study the strong resolvent convergence of two families of the operators with potentials shrinking to a point. Localized…

Spectral Theory · Mathematics 2019-05-14 Yuriy Golovaty

Molybdenum disulfide nanoribbons with zigzag edges show ferromagnetic and metallic properties based on previous \emph{ab-initio} calculations. The investigation of the role of disorder on the magnetic properties is, however, still lacking…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 Péter Vancsó , Imre Hagymási , Pauline Castenetto , Philippe Lambin

Graphene on a substrate will suffer an inversion-symmetry-breaking (ISB) lattice potential. Taking electron-electron interaction into account, we study in this paper the possibility of half-metallicity and noncollinear (NC) magnetic phase…

Mesoscale and Nanoscale Physics · Physics 2011-09-26 Lihua Pan , Jin An , Yong-Jun Liu , Chang-De Gong

This study investigates the band inversion of flat bands in zigzag graphene nanoribbons (ZGNRs) using a tight-binding model. The band inversion results from symmetry breaking in the transverse direction, achievable through deposition on…

Mesoscale and Nanoscale Physics · Physics 2025-04-29 David M T Kuo

The flexoelectric and electronic properties of zig-zag graphene nanoribbons are explored under mechanical bending using state of the art first principles calculations. A linear dependence of the bending induced out of plane polarization on…

Materials Science · Physics 2021-06-03 Tribhuwan Pandey , Lucian Covaci , Francois M. Peeters