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Motivated by the recent experimental realization of twisted transition metal dichalcogenide bilayers, we study a simplified model driven by different forms of monochromatic light. As a concrete and representative example we use parameters…

Mesoscale and Nanoscale Physics · Physics 2021-02-01 Michael Vogl , Martin Rodriguez-Vega , Benedetta Flebus , Allan H. MacDonald , Gregory A. Fiete

We develop a theory of topological transitions in a Floquet topological insulator, using graphene irradiated by circularly polarized light as a concrete realization. We demonstrate that a hallmark signature of such transitions in a static…

Mesoscale and Nanoscale Physics · Physics 2014-12-12 Arijit Kundu , H. A. Fertig , Babak Seradjeh

In this work we use Floquet theory to theoretically study the influence of circularly polarized light on disordered two-dimensional models exhibiting topological transitions. We find circularly polarized light can induce a topological…

Mesoscale and Nanoscale Physics · Physics 2018-08-22 Liang Du , Paul D. Schnase , Aaron D. Barr , Ariel R. Barr , Gregory A. Fiete

We study the twisted MoTe$_2$ homobilayer coupled to periodic driving of a circularly polarized light (CPL). Using Floquet theory in the high-frequency limit, we start from the Dirac model including both the valence and conduction bands of…

Strongly Correlated Electrons · Physics 2026-05-12 Yuhao Shi , Zhao Liu

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

The Su-Schrieffer-Heeger model of polyacetylene is a paradigmatic Hamiltonian exhibiting non-trivial edge states. By using Floquet theory we study how the spectrum of this one-dimensional topological insulator is affected by a…

Mesoscale and Nanoscale Physics · Physics 2015-12-01 V. Dal Lago , M. Atala , L. E. F. Foa Torres

Periodically driven systems provide a novel route to control the topology of quantum materials. In particular, Floquet theory allows an effective band description of periodically-driven systems through the Floquet Hamiltonian. Here, we…

Strongly Correlated Electrons · Physics 2024-03-20 Takahiro Anan , Takahiro Morimoto , Sota Kitamura

Topological semimetals with nodal line are a novel class of topological matter extending the concept of topological matter beyond topological insulators and Weyl/Dirac semimetals. Here, we show that a Floquet topological semimetal with…

Strongly Correlated Electrons · Physics 2019-04-03 Kun Woo Kim , Hyun Woong Kwon , Kwon Park

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

We derive effective Floquet Hamiltonians for twisted bilayer graphene driven by circularly polarized light in two different regimes beyond the weak-drive, high frequency regime. First, we consider a driving protocol relevant for experiments…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Michael Vogl , Martin Rodriguez-Vega , Gregory A. Fiete

Topological insulators represent unique phases of matter with insulating bulk and conducting edge or surface states, immune to small perturbations such as backscattering due to disorder. This stems from their peculiar band structure, which…

Mesoscale and Nanoscale Physics · Physics 2013-10-01 Jérôme Cayssol , Balázs Dóra , Ferenc Simon , Roderich Moessner

We investigate the topological properties of Floquet-engineered twisted bilayer graphene above the magic angle driven by circularly polarized laser pulses. Employing a full Moir\'e-unit-cell tight-binding Hamiltonian based on…

Materials Science · Physics 2019-09-30 Gabriel E. Topp , Gregor Jotzu , James W. McIver , Lede Xian , Angel Rubio , Michael A. Sentef

Motivated by the recent experimental realization of twisted trilayer graphene and the observed superconductivity that is associated with its flat bands at specific angles, we study trilayer graphene under the influence of different forms of…

Mesoscale and Nanoscale Physics · Physics 2021-12-08 I. A. Assi , J. P. F. LeBlanc , Martin Rodriguez-Vega , Hocine Bahlouli , Michael Vogl

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

Time-periodic (Floquet) drive is a powerful method to engineer quantum phases of matter, including fundamentally non-equilibrium states that are impossible in static Hamiltonian systems. One characteristic example is the anomalous Floquet…

Quantum Gases · Physics 2022-01-12 Christopher I. Timms , Lukas M. Sieberer , Michael H. Kolodrubetz

We study the Floquet phase diagram of two-dimensional Dirac materials such as graphene and the one-dimensional (1D) spin-1/2 $XY$ model in a transverse field in the presence of periodic time-varying terms in their Hamiltonians in the low…

Mesoscale and Nanoscale Physics · Physics 2018-05-16 Bhaskar Mukherjee , Priyanka Mohan , Diptiman Sen , K. Sengupta

We theoretically investigated the Floquet states of bilayer graphene heterostructure under the irradiation by horizontally incident circular polarized light. The in-plane and out-of-plane electric field of the light periodically perturbs…

Mesoscale and Nanoscale Physics · Physics 2021-05-26 Ma Luo

We study the effect of noise on two-dimensional periodically driven topological phases, focusing on two examples: the anomalous Floquet-Anderson phase and the disordered Floquet-Chern phase. Both phases show an unexpected robustness against…

Mesoscale and Nanoscale Physics · Physics 2025-09-04 Balaganchi A. Bhargava , Sanjib Kumar Das , Lukas M. Sieberer , Ion Cosma Fulga

Based on a solution of the Floquet Hamiltonian we have studied the time-evolution of electronic states in graphene nanoribbons driven out of equilibrium by time-dependent electromagnetic fields in different regimes of intensity,…

Mesoscale and Nanoscale Physics · Physics 2017-02-22 Franca Manghi , Matteo Puviani , Francesco Lenzini

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
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