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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

Circularly polarised light opens a gap in the Dirac spectrum of graphene and topological insulator (TI) surfaces, thereby inducing a quantum Hall-like phase. We propose to detect the accompanying edge states and their current by the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Jan P. Dahlhaus , Benjamin M. Fregoso , Joel E. Moore

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

Recent experiments showed that the surface of a three dimensional topological insulator develops gaps in the Floquet-Bloch band spectrum when illuminated with a circularly polarized laser. These Floquet-Bloch bands are characterized by…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 H. L. Calvo , L. E. F. Foa Torres , P. M. Perez-Piskunow , C. A. Balseiro , Gonzalo Usaj

We report on the effects of laser illumination on the electronic properties of bilayer graphene. By using Floquet theory combined with Green's functions we unveil the appeareance of laser-induced gaps not only at integer multiples of $\hbar…

Mesoscale and Nanoscale Physics · Physics 2013-01-16 E. Suárez Morell , L. E. F. Foa Torres

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

In this work we use Floquet-Bloch theory to study the influence of circularly and linearly polarized light on two-dimensional band structures with semi-Dirac band touching points, taking the anisotropic nearest neighbor hopping model on the…

Mesoscale and Nanoscale Physics · Physics 2018-01-24 Qi Chen , Liang Du , Gregory A. Fiete

We theoretically predict, with the Keldysh Green's function combined with the Floquet method, that the AC electric field of a circularly polarized light should induce a Hall effect, in the absence of uniform magnetic fields, in graphene…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Takashi Oka , Hideo Aoki

We theoretically studied the Floquet state of gated bilayer graphene, which is irradiated by normally incident focused Gaussian beam with orbital angular momentum (OAM). According to the Floquet theory, in-plane and out-of-plane electric…

Mesoscale and Nanoscale Physics · Physics 2024-04-02 Ma Luo

We describe the gated bilayer graphene system when it is subjected to intense terahertz frequency electromagnetic radiation. We examine the electron band structure and density of states via exact diagonalization methods within Floquet…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 D. S. L. Abergel , Tapash Chakraborty

Motivated by the recent experimental realization of twisted double bilayer graphene (TDBG) samples we study, both analytically and numerically, the effects of circularly polarized light propagating in free space and confined into a…

Mesoscale and Nanoscale Physics · Physics 2020-09-30 Martin Rodriguez-Vega , Michael Vogl , Gregory A. Fiete

Within the Floquet theory of periodically driven quantum systems, we developed the theory of light-induced modification of electronic states in semiconductor materials described by the Luttinger Hamiltonian (the electronic term $\Gamma_8$).…

Mesoscale and Nanoscale Physics · Physics 2020-07-03 O. V. Kibis , M. V. Boev , V. M. Kovalev , I. A. Shelykh

In the framework of the Floquet theory of periodically driven quantum systems, it is demonstrated that irradiation of graphene by a circularly polarized electromagnetic field induces an attractive area in the core of repulsive potentials.…

Mesoscale and Nanoscale Physics · Physics 2024-11-04 O. V. Kibis , M. V. Boev , I. V. Iorsh , V. M. Kovalev

Fractional Chern insulators are theoretically predicted states of electronic matter with emergent topological order. They exhibit the same universal properties as the fractional quantum Hall effect, but dispose of the need to apply a strong…

Strongly Correlated Electrons · Physics 2014-05-08 Adolfo G. Grushin , Álvaro Gómez-León , Titus Neupert

Topological states of matter in equilibrium, as well as out of equilibrium, have been thoroughly investigated during the last years in condensed-matter and cold-atom systems. However, the geometric topology of the studied samples is usually…

Mesoscale and Nanoscale Physics · Physics 2015-07-10 A. Quelle , W. Beugeling , C. Morais Smith

Recent advances in the field of condensed-matter physics have unlocked the potential to realize and control emergent material phases that do not exist in thermal equilibrium. One of the most promising concepts in this regard is Floquet…

The control of physical properties of solids with short laser pulses is an intriguing prospect of ultrafast materials science. Continuous-wave high-frequency laser driving with circular polarization was predicted to induce a light-matter…

Mesoscale and Nanoscale Physics · Physics 2015-05-15 M. A. Sentef , M. Claassen , A. F. Kemper , B. Moritz , T. Oka , J. K. Freericks , T. P. Devereaux

The use of Floquet theory combined with a realistic description of the electronic structure of illuminated graphene and graphene nanoribbons is developed to assess the emergence of non-adiabatic and non-perturbative effects on the…

Mesoscale and Nanoscale Physics · Physics 2013-03-13 Hernan L. Calvo , Pablo M. Perez-Piskunow , Horacio M. Pastawski , Stephan Roche , Luis E. F. Foa Torres

Floquet engineering provides a powerful pathway for creating non-equilibrium phases of matter with tailored electronic structures and properties through time-periodic driving. As the original theoretical prototype, graphene established the…

Mesoscale and Nanoscale Physics · Physics 2026-03-31 Fei Wang , Xuanxi Cai , Xiao Tang , Jinxi Lu , Wanying Chen , Tianshuang Sheng , Runfa Feng , Haoyuan Zhong , Hongyun Zhang , Pu Yu , Shuyun Zhou

We proposed a minimal model to describe the Floquet band structure of two-dimensional materials with light-induced resonant inter-band transition. We applied it to graphene to study the band features caused by the light irradiation.…

Mesoscale and Nanoscale Physics · Physics 2016-06-28 Mou Yang , Zhi-Jun Cai , Rui-Qiang Wang , Yan-Kui Bai
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