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In the presence of a circularly polarized mid-infrared radiation graphene develops dynamical band gaps in its quasi-energy band structure and becomes a Floquet insulator. Here we analyze how topologically protected edge states arise inside…

Mesoscale and Nanoscale Physics · Physics 2014-09-23 Gonzalo Usaj , P. M. Perez-Piskunow , L. E. F. Foa Torres , C. A. Balseiro

We report on the emergence of laser-induced chiral edge states in graphene ribbons. Insights on the nature of these Floquet states is provided by an analytical solution which is complemented with numerical simulations of the transport…

Mesoscale and Nanoscale Physics · Physics 2014-03-06 P. M. Perez-Piskunow , Gonzalo Usaj , C. A. Balseiro , L. E. F. Foa Torres

The possibility of attaining chiral edge modes under periodic driving has spurred tremendous attention, both theoretically and experimentally, especially in light of anomalous Floquet topological phases that feature vanishing Chern numbers…

Quantum Gases · Physics 2024-01-04 Miguel F. Martínez , F. Nur Ünal

We study edge-states in graphene systems where a bulk energy gap is opened by inversion symmetry breaking. We find that the edge-bands dispersion can be controlled by potentials applied on the boundary with unit cell length scale. Under…

Mesoscale and Nanoscale Physics · Physics 2009-03-11 Wang Yao , Shengyuan A. Yang , Qian Niu

We report the emergence of electronic edge states in time-periodically driven strained armchair terminated graphene nanoribbons. This is done by considering a short-pulse spatial-periodic strain field. Then, the tight-binding Hamiltonian of…

Mesoscale and Nanoscale Physics · Physics 2017-10-18 Pedro Roman-Taboada , Gerardo G. Naumis

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

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 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

An intense laser field in the high-frequency regime drives carriers in graphene nanoribbons (GNRs) out of equilibrium and creates topologically-protected edge states. Using Floquet theory on driven GNRs, we calculate the time evolution of…

Mesoscale and Nanoscale Physics · Physics 2017-06-26 Matteo Puviani , Franca Manghi , Andrea Bertoni

The quantum anomalies at the edges correspond to the topological phases in the system, and the chiral edge states can reflect bulk bands' topological properties. In this paper, we demonstrate a simulation of Floquet system's chiral edge…

Quantum Gases · Physics 2020-08-11 Zhongcheng Yu , Jinyuan Tian , Fansu Wei , Xuzong Chen , Xiaoji Zhou

Systems that can be described with the same mathematical models that account for the properties of electrons in graphene are known as graphene-like systems. These include magnons, photons, polaritons, acoustic waves, and electrons in…

Mesoscale and Nanoscale Physics · Physics 2022-10-17 J. L. Lado , J. Fernández-Rossier

We report on the fate of the quantum Hall effect in graphene under strong laser illumination. By using Floquet theory combined with both a low energy description and full tight-binding models, we clarify the selection rules, the quasienergy…

Mesoscale and Nanoscale Physics · Physics 2021-03-10 A. Huamán , L. E. F. Foa Torres , C. A. Balseiro , Gonzalo Usaj

Topologically protected edge states exactly at topological phase boundaries challenge the conventional belief that topological states must be associated with a bulk energy gap. Because periodically driven (Floquet) systems host unusually…

Statistical Mechanics · Physics 2025-05-26 Longwen Zhou , Jiangbin Gong , Xue-Jia Yu

Recently, several authors have investigated topological phenomena in periodically-driven systems of non-interacting particles. These phenomena are identified through analogies between the Floquet spectra of driven systems and the band…

Mesoscale and Nanoscale Physics · Physics 2013-07-26 Mark S. Rudner , Netanel H. Lindner , Erez Berg , Michael Levin

The topological properties of electronic edge states in time-periodically driven spatially-periodic corrugated zigzag graphene nanoribbons are studied. An effective one-dimensional Hamiltonian is used to describe the electronic properties…

Mesoscale and Nanoscale Physics · Physics 2017-12-25 Pedro Roman-Taboada , Gerardo G. Naumis

We investigate the topological phase transitions in graphene under the modulation of circularly polarized light, by analyzing the changes of edge states and its topological structures. A full phase diagram, with up to ten different…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 Yi-Xiang Wang , Fuxiang Li

Edge structure plays an essential role in the nature of electronic states in graphene nanoribbons. By focusing on the interplay between this feature and non-trivial topology in the domain of the Dirac confinement problem, this paper…

Mesoscale and Nanoscale Physics · Physics 2017-07-24 J. F. O de Souza , Claudio Furtado

There are two types of edge states in graphene with/without magnetic field. One is a quantum Hall edge state, which is topologically protected against small perturbation. The other is a chiral zero mode that is localized near the boundary…

Mesoscale and Nanoscale Physics · Physics 2011-06-24 Y. Hatsugai

We explore theoretically the formation of bound states in the continuum (BICs) in graphene hosting two collinear adatoms situated at different sides of the sheet and at the center of the hexagonal cell, where a phantom atom of a fictitious…

Strongly Correlated Electrons · Physics 2015-07-13 L. H. Guessi , R. S. Machado , Y. Marques , L. S. Ricco , K. Kristinsson , M. Yoshida , I. A. Shelykh , M. de Souza , A. C. Seridonio

It is known that zigzag graphene edge is able to support edge states: there is a non-dispersive single-electron band localized near the zigzag edge. However, it is generally believed that no edge states exist near the armchair edge. In this…

Mesoscale and Nanoscale Physics · Physics 2014-01-14 P. A. Maksimov , A. V. Rozhkov , A. O. Sboychakov
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