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The impact of weak disorder and its spatial correlation on the topology of a Floquet system is not well understood so far. In this study, we investigate a model closely related to a two-dimensional Floquet system that has been realized in…

Quantum Physics · Physics 2024-06-26 Jun-Hui Zheng , Arijit Dutta , Monika Aidelsburger , Walter Hofstetter

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

We study Floquet topological transition in irradiated graphene when the polarization of incident light changes randomly with time. We numerically confirm that the noise averaged time evolution operator approaches a steady value in the limit…

Other Condensed Matter · Physics 2018-12-12 Bhaskar Mukherjee

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

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

In this work we theoretically study, using Floquet-Bloch theory, the influence of circularly and linearly polarized light on two-dimensional band structures with Dirac and quadratic band touching points, and flat bands, taking the nearest…

Mesoscale and Nanoscale Physics · Physics 2017-02-01 Liang Du , Xiaoting Zhou , Gregory A. Fiete

We study a two-dimensional topological system driven out of equilibrium by the application of elliptically polarized light. In particular, we analyze the Bernevig-Hughes-Zhang model when it is perturbed using an elliptically polarized light…

Mesoscale and Nanoscale Physics · Physics 2022-12-13 Ranjani Seshadri , Diptiman Sen

One of the most fascinating properties of topological phases of matter is their robustness to disorder and imperfections. Although several experimental techniques have been developed to probe the geometric properties of engineered…

We investigate topological characteristics of the photon-dressed band structure of $\alpha$-$\mathcal{T}_3$ lattice on being driven by off-resonant circularly polarized radiation. We obtain exact analytical expressions of the quasienergy…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Bashab Dey , Tarun Kanti Ghosh

We investigate the possibility of realizing a disorder-induced topological Floquet spectrum in two-dimensional periodically-driven systems. Such a state would be a dynamical realization of the topological Anderson insulator. We establish…

Disordered Systems and Neural Networks · Physics 2015-02-12 Paraj Titum , Netanel H. Lindner , Mikael C. Rechtsman , Gil Refael

We investigate topological phase transitions in a two-dimensional electron system with cubic Rashba spin-orbit coupling driven by circularly polarized light. Within the Floquet framework, we demonstrate that light-matter interaction induces…

Strongly Correlated Electrons · Physics 2025-11-20 Debabrata Sinha

We consider the fate of a helical edge state of a spin Hall insulator and its topological transition in presence of a circularly polarized light when coupled to various forms of environments. A Lindblad type equation is developed to…

Strongly Correlated Electrons · Physics 2016-09-28 Szabolcs Vajna , Baruch Horovitz , Balázs Dóra , Gergely Zaránd

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

The interplay between Floquet driving and non-Hermitian gain/loss could give rise to intriguing phenomena including topological funneling of light, edge-state delocalization, anomalous topological transitions and Floquet non-Hermitian skin…

Applied Physics · Physics 2026-03-17 Weiwei Zhu , Longwen Zhou , Linhu Li , Jiangbin Gong

The hoppings of non-interacting particles in the optical dice lattice result in the gapless dispersions in the band structure formed by the three lowest minibands. In our research, we find that once a periodic driving force is applied to…

Quantum Gases · Physics 2022-11-08 Shujie Cheng , Gao Xianlong

Floquet engineering with high-frequency light offers dynamic control over topological phases in quantum materials. While in 3D Dirac systems circularly polarized light is known to induce topological phase transitions via gap opening,…

Mesoscale and Nanoscale Physics · Physics 2025-10-17 Mohammad Shafiei , Farhad Fazileh , Milorad V. Milošević

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 this paper, we propose a way to realize topological $s$-wave superconductivity with application of circularly polarized laser light in two-dimensional bilayer transition metal dichalcogenides (TMDs). Using Floquet theory, we analyze a…

Superconductivity · Physics 2020-11-25 Hiroomi Chono , Kazuaki Takasan , Youichi Yanase

Using ab initio tight-binding approaches, we investigate Floquet band engineering of the 1T' phase of transition metal dichalcogenides (MX2, M = W, Mo and X = Te, Se, S) monolayers under the irradiation with circularly polarized light. Our…

Materials Science · Physics 2021-09-13 Xiangru Kong , Wei Luo , Linyang Li , Mina Yoon , Tom Berlijn , Liangbo Liang

Harnessing the unique features of topological materials for the development of a new generation of topological based devices is a challenge of paramount importance. Using Floquet scattering theory combined with atomistic models we study the…

Mesoscale and Nanoscale Physics · Physics 2021-04-21 Matías Berdakin , Esteban A. Rodríguez-Mena , L. E. F. Foa Torres
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