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Related papers: Merging of Dirac points and Floquet topological tr…

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We analyze the scenario of modulating the potential strength of bound atoms in an optical honeycomb lattice patterned by an electric field to emulate uniaxial strain. This modulation can be achieved by a combination of the strength of the…

Materials Science · Physics 2023-03-06 A. López , B. Montañes , E. Medina

We demonstrate how to control the spectra and current flow of Dirac electrons in both a graphene sheet and a topological insulator by applying either two linearly polarized laser fields with frequencies $\omega$ and $2\omega$ or a…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Pablo Rodriguez-Lopez , Joseph J. Betouras , Sergey E. Savel'ev

Theory predicts that graphene under uniaxial compressive strain in an armchair direction should undergo a topological phase transition from a semimetal into an insulator. Due to the change of the hopping integrals under compression, both…

Mesoscale and Nanoscale Physics · Physics 2015-12-23 J. Feilhauer , W. Apel , L. Schweitzer

Dirac points lie at the heart of many fascinating phenomena in condensed matter physics, from massless electrons in graphene to the emergence of conducting edge states in topological insulators [1, 2]. At a Dirac point, two energy bands…

Quantum Gases · Physics 2013-06-26 Leticia Tarruell , Daniel Greif , Thomas Uehlinger , Gregor Jotzu , Tilman Esslinger

Moving, merging and annihilating Dirac points are studied theoretically in the tight-binding model on honeycomb lattice with up-to third-nearest-neighbor hoppings. We obtain a rich phase diagram of the topological phase transitions in the…

Mesoscale and Nanoscale Physics · Physics 2012-10-22 Yasumasa Hasegawa , Keita Kishigi

We study the electronic structure and the phase diagram of non-interacting fermions confined to hexagonal optical lattices. In the first part, we compare the properties of Dirac points arising in the eigenspectrum of either honeycomb or…

Mesoscale and Nanoscale Physics · Physics 2008-11-03 B. Wunsch , F. Guinea , F. Sols

The spectrum of tight binding electrons on a square lattice with half a magnetic flux quantum per unit cell exhibits two Dirac points at the band center. We show that, in the presence of an additional uniaxial staggered potential, this pair…

Mesoscale and Nanoscale Physics · Physics 2011-01-06 P. Delplace , G. Montambaux

Electromagnetic driving in a honeycomb lattice can induce gaps and topological edge states with a structure of increasing complexity as the frequency of the driving lowers. While the high frequency case is the most simple to analyze we…

Mesoscale and Nanoscale Physics · Physics 2016-02-22 Pablo M. Perez-Piskunow , Luis E. F. Foa Torres , Gonzalo Usaj

Graphene-based multilayer systems serve as versatile platforms for exploring the interplay between electron correlation and topology, thanks to distinctive low-energy bands marked by significant quantum metric and Berry curvature from…

Strongly Correlated Electrons · Physics 2026-01-30 Niklas Witt , Siheon Ryee , Lennart Klebl , Jennifer Cano , Giorgio Sangiovanni , Tim O. Wehling

Floquet engineering, which involves controlling systems through time-periodic driving, is a method for coherently manipulating quantum materials and realizing dynamical states with novel functionalities. Most research in solid-state systems…

Mesoscale and Nanoscale Physics · Physics 2025-11-18 Sota Kitamura , Takashi Oka

We investigate Floquet-driven topological phase transitions in an AB-stacked bilayer Haldane lattice with tunable intralayer hopping anisotropy. By combining interlayer hybridization, Haldane flux, and off-resonant circularly polarized…

Mesoscale and Nanoscale Physics · Physics 2026-03-26 Imtiaz Khan , Muzamil Shah , Reza Asgari , Gao Xianlong

Graphene provides a canonical setting for Floquet band engineering, where circularly polarized light can dynamically open topological gaps at Dirac points and generate nonequilibrium Hall responses. Here we show that uniaxial strain and…

Mesoscale and Nanoscale Physics · Physics 2026-05-27 Yu-Wen Xu , Xiaolin Wan , Zi-Ming Wang , Rui Wang , Dong-Hui Xu

We establish the theoretical foundation of the Floquet graphene antidot lattice, whereby massless Dirac fermions are driven periodically by a circularly polarized electromagnetic field, while having their motion excluded from an array of…

Mesoscale and Nanoscale Physics · Physics 2021-11-19 Andrew Cupo , Emilio Cobanera , James D. Whitfield , Chandrasekhar Ramanathan , Lorenza Viola

Periodically driven systems can host many interesting and intriguing phenomena. The irradiated two-dimensional Dirac systems, driven by circularly polarized light, are the most attractive thanks to intuitive physical view of the absorption…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Jin-Yu Zou , Bang-Gui Liu

Inspired by the recent creation of the honeycomb optical lattice and the realization of the Mott insulating state in a square lattice by shaking, we study here the shaken honeycomb optical lattice. For a periodic shaking of the lattice, a…

Quantum Gases · Physics 2013-05-30 Selma Koghee , Lih-King Lim , M. O. Goerbig , C. Morais Smith

The coupling of monochromatic light fields and solids introduces nonequilibrium Floquet states, offering opportunities to create and explore new topological phenomena. Using combined first-principles and Floquet analysis we show that one…

Strongly Correlated Electrons · Physics 2019-02-12 Hang Liu , Jia-Tao Sun , Sheng Meng

We propose to combine the Floquet formalism for systems in ac fields with the dynamical mean-field theory to study correlated electron systems periodically driven out of equilibrium by external fields such as intense laser light. This…

Strongly Correlated Electrons · Physics 2009-01-23 Naoto Tsuji , Takashi Oka , Hideo Aoki

We study the transport properties of a topological system coupled to an AC electric field by means of Floquet-Keldysh formalism. We consider a semi-infinite chain of dimers coupled to a semi-infinite metallic lead, and obtain the density of…

Mesoscale and Nanoscale Physics · Physics 2017-02-06 Leonard Ruocco , Álvaro Gómez-León

Hybrids of graphene and two dimensional transition metal dichalcogenides (TMDC) have the potential to bring graphene spintronics to the next level. As we show here by performing first-principles calculations of graphene on monolayer…

Mesoscale and Nanoscale Physics · Physics 2015-10-14 Martin Gmitra , Jaroslav Fabian

Pseudorelativistic Dirac quasiparticles have emerged in a plethora of artificial graphene systems that mimic the underlying honeycomb symmetry of graphene. However, it is notoriously difficult to manipulate their properties without…

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