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Related papers: Boundary Ferromagnetism in Zigzag Edged Graphene

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Graphene nanoribbons with zigzag terminated edges have a magnetic ground state characterized by edge ferromagnetism and antiferromagnetic inter edge coupling. This broken symmetry state is degenerate in the spin orientation and we show…

Mesoscale and Nanoscale Physics · Physics 2018-01-09 M. P. López-Sancho , Luis Brey

We study the spin-wave excitations near the zigzag edge of graphene. It is rather interesting that we obtain a single branch of relativistic ferromagnetic magnon due to the presence of the open boundary. Note that magnons in antiferomagnets…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Jhih-Shih You , Wen-Min Huang , Hsiu-Hau Lin

We report a thorough study of the reducibility of edge correlation effects in graphene to much-simplified effective models for the edge states. The latter have been used before in specially tailored geometries. By a systematic investigation…

Mesoscale and Nanoscale Physics · Physics 2015-09-23 Cornelie Koop , Manuel J. Schmidt

A zigzag edge of a graphene nanoribbon supports localized zero modes, ignoring interactions. Based mainly on mean field arguments and numerical approaches, it has been suggested that interactions can produce a large magnetic moment on the…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Hamed Karimi , Ian Affleck

The present study explores the edge states in a finite-width graphene ribbon and a semi-infinite geometry subject to a perpendicular magnetic field and an in-plane electric field, applied perpendicular to a zigzag edge. To accomplish this,…

Mesoscale and Nanoscale Physics · Physics 2023-04-17 A. A. Herasymchuk , S. G. Sharapov , V. P. Gusynin

The edges of graphene and graphene like systems can host localized states with evanescent wave function with properties radically different from those of the Dirac electrons in bulk. This happens in a variety of situations, that are…

Mesoscale and Nanoscale Physics · Physics 2016-09-20 J. L. Lado , N. Garcia-Martinez , J. Fernandez-Rossier

We have studied zigzag and armchair graphene nano ribbons (GNRs), described by the Hubbard Hamiltonian using quantum many body configuration interaction methods. Due to finite termination, we find that the bipartite nature of the graphene…

Materials Science · Physics 2009-11-13 Sudipta Dutta , S. Lakshmi , Swapan K. Pati

The topological phases of graphene with spin-orbit coupling, an exchange field, and a staggered-sublattice potential determine the properties of the edge states of the zigzag nanoribbon. In the presence of the Hubbard interaction, the…

Mesoscale and Nanoscale Physics · Physics 2020-08-13 Ma Luo

We investigate the properties of magnon edge states in a ferromagnetic honeycomb lattice with armchair boundaries. In contrast with fermionic graphene, we find novel edge states due to the missing bonds along the boundary sites. After…

Mesoscale and Nanoscale Physics · Physics 2017-11-28 Pierre A. Pantaleón , Yang Xian

We study edge state magnetism in graphene nanostructures using a mean field theory of the Hubbard model. We investigate how the magnetism of the zigzag edges of graphene is affected by the presence of other types of terminating edges and…

Mesoscale and Nanoscale Physics · Physics 2008-07-04 Somnath Bhowmick , Vijay B. Shenoy

An extraordinary low vacuum barrier height of 2.30 eV has been found on the zigzag-edge of graphene terminated with the secondary amine via the ab initio calculation. This edge structure has a flat band of edge states attached to the gamma…

Materials Science · Physics 2012-09-05 Weiliang Wang , Zhibing Li

We analyze interaction effects on boundary states of single layer graphene. Near a half filled band, both short and long-ranged interactions lead to a fully spin polarized configuration. In addition, the band of boundary states acquires a…

Strongly Correlated Electrons · Physics 2008-07-17 B. Wunsch , T. Stauber , F. Sols , F. Guinea

The tunable magnetism at graphene edges with lengths of up to 48 unit cells is analyzed by an exact diagonalization technique. For this we use a generalized interacting one-dimensional model which can be tuned continuously from a limit…

Strongly Correlated Electrons · Physics 2011-05-26 David J. Luitz , Fakher F. Assaad , Manuel J. Schmidt

Motivated by recent experiments and a theoretical analysis of the gap equation for the propagator of Dirac quasiparticles, we assume that the physics underlying the recently observed removal of sublattice and spin degeneracies in graphene…

Mesoscale and Nanoscale Physics · Physics 2008-06-13 V. P. Gusynin , V. A. Miransky , S. G. Sharapov , I. A. Shovkovy

The magnetism by the edge states in graphene is investigated theoretically. An instability of the pseudo-spin order of the edge states induces ferrimagnetic order in the presence of the Coulomb interaction. Although the next…

Mesoscale and Nanoscale Physics · Physics 2008-04-28 Ken-ichi Sasaki , Riichiro Saito

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

We study the low energy edge states of bilayer graphene in a strong perpendicular magnetic field. Several possible simple boundaries geometries related to zigzag edges are considered. Tight-binding calculations reveal three types of edge…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Victoria Mazo , Efrat Shimshoni , Herbert A. Fertig

Edge states in biased bilayer graphene in a magnetic field are studied within the four-band continuum model. The analysis is done for the semi-infinite graphene plane and for the graphene ribbon of a finite width, in the cases of zigzag and…

Mesoscale and Nanoscale Physics · Physics 2013-11-19 P. K. Pyatkovskiy

Electronic structures of the zigzag bilayer graphite nanoribbons(Z-BGNR) with various ribbon width $N$ are studied within the tight binding approximation. Neglecting the inter-layer hopping amplitude $\gamma_4$, which is an order of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Jun-Won Rhim , Kyungsun Moon

Consider the tight binding model of graphene, sharply terminated along an edge ${\bf l}$ parallel to a direction of translational symmetry of the underlying period lattice. We classify such edges ${\bf l}$ into those of "zigzag type" and…

Mathematical Physics · Physics 2022-11-01 C. L. Fefferman , S. Fliss , M. I. Weinstein
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