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Serving as a new two-dimensional plasmonic material, graphene has stimulated an intensive study of its optical properties which benefit from the unique electronic band structure of the underlying honeycomb lattice of carbon atoms. In…

Mesoscale and Nanoscale Physics · Physics 2015-03-18 Weihua Wang , Thomas Christensen , Antti-Pekka Jauho , Kristian S. Thygesen , Martijn Wubs , N. Asger Mortensen

By combining analytic and numerical methods, edge states on a finite width graphene ribbon in a magnetic field are studied in the framework of low-energy effective theory that takes into account the possibility of quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2009-03-25 V. P. Gusynin , V. A. Miransky , S. G. Sharapov , I. A. Shovkovy , C. M. Wyenberg

Properties of bulk and boundaries of materials can, in general, be quite different, both for topological and non-topological reasons. One of the simplest boundary problems to pose is the tight-binding problem of noninteracting electrons on…

Mesoscale and Nanoscale Physics · Physics 2023-02-01 Anton Talkachov , Egor Babaev

The ground state of a graphene sheet at charge neutrality in a perpendicular magnetic field remains enigmatic, with various experiments supporting canted antiferromagnetic, bond ordered, and even charge density wave phases. A promising…

Mesoscale and Nanoscale Physics · Physics 2022-05-03 Arup Kumar Paul , Manas Ranjan Sahu , Kenji Watanabe , Takashi Taniguchi , J. K. Jain , Ganpathy Murthy , Anindya Das

Quantum confinement and interference often generate exotic properties in nanostructures. One recent highlight is the experimental indication of a magnetic phase transition in zigzag-edged graphene nanoribbons at the critical ribbon width of…

Mesoscale and Nanoscale Physics · Physics 2017-07-14 Wen-Chao Chen , Yuan Zhou , Shun-Li Yu , Wei-Guo Yin , Chang-De Gong

Monatomic metal (e.g. silver) structures could form preferably at graphene edges. We explore their structural and electronic properties by performing density functional theory based first-principles calculations. The results show that…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Ning Wei , Cheng Chang , Hongwei Zhu , Zhiping Xu

We investigate theoretically the magnetic levels and optical properties of zigzag- and armchair-edged hexagonal graphene quantum dots (GQDs) utilizing the tight-binding method. A new bound edge state at zero energy appears for the zigzag…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Z. Z. Zhang , Kai Chang , F. M. Peeters

We investigate the ground-state properties of triangular graphene nanoflakes with zigzag edge configurations. The description of zero-dimensional nanostructures requires accurate many-body techniques since the widely used density-functional…

Strongly Correlated Electrons · Physics 2018-01-24 I. Hagymasi , O. Legeza

The coherent electron transport along zigzag and metallic armchair graphene nanoribbons in the presence of one or two vacancies is investigated. Having in mind atomic scale tunability of the conductance fingerprints, the primary focus is on…

Mesoscale and Nanoscale Physics · Physics 2010-10-26 D. A. Bahamon , A. L. C. Pereira , P. A. Schulz

Edge states in narrow quasi two-dimensional nanostructures determine, to a large extent, their electric, thermoelectric and magnetic properties. Non-magnetic edge states may quite often lead to topological insulator type behavior. However…

Mesoscale and Nanoscale Physics · Physics 2017-10-31 Stefan Krompiewski , Gianaurelio Cuniberti

The electronic states of a finite-width graphene sheet in the presence of an electrostatic confining potential and a perpendicular magnetic field are investigated. The confining potential shifts the Landau levels inside the well and creates…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Milton Pereira , F. M. Peeters , P. Vasilopoulos

Quantum Hall effects offer a formidable playground for the investigation of quantum transport phenomena. Edge modes can be detected, branched, and mixed by designing a suitable potential landscape in a two-dimensional conducting system…

The honeycomb lattice of graphene is a unique two-dimensional (2D) system where the quantum mechanics of electrons is equivalent to that of relativistic Dirac fermions. Novel nanometer-scale behavior in this material, including electronic…

Mesoscale and Nanoscale Physics · Physics 2009-05-29 Yuanbo Zhang , Victor W. Brar , Feng Wang , Caglar Girit , Yossi Yayon , Melissa Panlasigui , Alex Zettl , Michael F. Crommie

In this work, the spin wave calculations were carried out using the Heisenberg Hamiltonian to study the allowed spin waves of zigzag and armchair edged stripes for ferromagnetic nanodots arrayed in a 2D honeycomb lattice \cite{Selim2011}.…

Mesoscale and Nanoscale Physics · Physics 2011-10-27 Maher Ahmed

We investigate the effects of randomly distributed atomic defects on the magnetic properties of graphene nanoribbons with zigzag edges using an extended mean-field Hubbard model. For a balanced defect distribution among the sublattices of…

Mesoscale and Nanoscale Physics · Physics 2018-09-25 K. E. Çakmak , A. Altıntaş , A. D. Güçlü

We study the edge states in graphene in the presence of a magnetic field perpendicular to the plane of the lattice. Most of the works done so far discuss the edge states in either zigzag or armchair edge graphene considering an isotropic…

Strongly Correlated Electrons · Physics 2011-12-06 Hari P. Dahal , Zi-Xiang Hu , N. A. Sinitsyn , Kun Yang , A. V. Balatsky

We report on the transition from magnetic edge to electric edge transport in a split magnetic gate device which applies a notch magnetic field to a two-dimensional electron gas. The gate bias allows tuning the overlap of magnetic and…

Mesoscale and Nanoscale Physics · Physics 2017-08-09 Alain Nogaret , Puja Mondal , Ankip Kumar , Sankalpa Ghosh , Harvey Beere , David Ritchi

We demonstrate that an undoped two-dimensional carbon plane (graphene) whose bulk is in the integer quantum Hall regime supports a non-chiral Luttinger liquid at an armchair edge. This behavior arises due to the unusual dispersion of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 H. A. Fertig , Luis Brey

We investigate the diffusive electron-transport properties of charge-doped graphene ribbons and nanoribbons with imperfect edges. We consider different regimes of edge scattering, ranging from wide graphene ribbons with (partially)…

Graphene has remarkable opportunities for spintronics due to its high mobility and long spin diffusion length, especially when encapsulated in hexagonal boron nitride (h-BN). Here, for the first time, we demonstrate gate-tunable spin…

Mesoscale and Nanoscale Physics · Physics 2018-07-25 Jinsong Xu , Simranjeet Singh , Jyoti Katoch , Guanzhong Wu , Tiancong Zhu , Igor Zutic , Roland K. Kawakami