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Motivated by the quest for experimentally accessible dynamical probes of Floquet topological insulators, we formulate the linear response theory of a periodically driven system. We illustrate the applications of this formalism by giving…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 Abhishek Kumar , M. Rodriguez-Vega , T. Pereg-Barnea , B. Seradjeh

Recent experiments, combing ultrafast strong-field irradiation of surfaces with time- and angle-resolved photoemission spectroscopy, allow for monitoring the time-dependent charge carrier dynamics and the build-up of transient sidebands due…

Mesoscale and Nanoscale Physics · Physics 2024-09-05 Yuriko Baba , Vanessa Junk , Wolfgang Hogger , Francisco Domínguez-Adame , Rafael A. Molina , Klaus Richter

We propose a realistic regime to detect the light-induced topological band gap in graphene via time-resolved angle-resolved photoelectron spectroscopy (trARPES), that can be achieved with current technology. The direct observation of…

Mesoscale and Nanoscale Physics · Physics 2023-08-09 Lukas Broers , Ludwig Mathey

A recent theoretical work [Nature Phys., 7, 490 (2011)] has demonstrated that external non-equilibrium perturbations may be used to convert a two-dimensional semiconductor, initially in a topologically trivial state, into a Floquet…

Mesoscale and Nanoscale Physics · Physics 2013-06-26 Netanel H. Lindner , Doron L. Bergman , Gil Refael , Victor Galitski

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

Photoinduced topological phase transitions (TPTs) in black phosphorous (BP) under compressive strain were investigated by combining Floquet theory and first-principles calculations. Intriguing photo-dressed electronic states including…

Materials Science · Physics 2018-06-12 Hang Liu , Jia-Tao Sun , Cai Cheng , Feng Liu , Sheng Meng

Polarization ellipticity $\beta$ and the relative angle $\Delta$ between electron momentum and driving field act as independent control parameters for coherent dynamics in periodically driven Dirac systems. In this work, we analyze the…

Mesoscale and Nanoscale Physics · Physics 2026-05-04 V. G. Ibarra-Sierra , J. L. Cardoso , C. Flores-Valente , A. Kunold , J. C. Sandoval-Santana

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

An analytical study of low-energy electronic excited states in an uniformly strained graphene is carried out up to second-order in the strain tensor. We report an new effective Dirac Hamiltonian with an anisotropic Fermi velocity tensor,…

Mesoscale and Nanoscale Physics · Physics 2017-08-18 Maurice Oliva-Leyva , Chumin Wang

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

Higher-order topological insulators have attracted significant interest in both static single-particle and many-body lattice systems. While periodically driven (Floquet) higher-order topological phases have been explored at the…

Mesoscale and Nanoscale Physics · Physics 2025-07-15 Chun-Ping Su , Zhao-Fan Cai , Tao Liu

Strain engineering is a promising approach for suppressing the OFF-state conductance in graphene-based devices that arises from Klein tunnelling. In this work, we derive a comprehensive tight-binding Hamiltonian for strained graphene that…

Mesoscale and Nanoscale Physics · Physics 2021-08-25 Maverick Chauwin , Zhuo Bin Siu , Mansoor Bin Abdul Jalil

Graphene was the first material predicted to be a time-reversal-invariant topological insulator; however, the insulating gap is immeasurably small owing to the weakness of spin-orbit interactions in graphene. A recent experiment [1]…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Pouyan Ghaemi , Sarang Gopalakrishnan , Taylor L. Hughes

We present Floquet fractal topological insulators: photonic topological insulators in a fractal-dimensional lattice consisting of helical waveguides. The helical modulation induces an artificial gauge field and leads to the…

Optics · Physics 2021-04-09 Zhaoju Yang , Eran Lustig , Yaakov Lumer , Mordechai Segev

A photonic Floquet topological insulator has previously been experimentally realized in an array of evanescently-coupled helical waveguides. In the topological regime probed by that experiment, the chirality of the single topological edge…

Chirally stacked $N$-layer graphene is a semimetal with $\pm p^N$ band-touching at two nonequivalent corners in its Brillioun zone. We predict that an off-resonant circularly polarized light (CPL) drives chirally stacked $N$-layer graphene…

Mesoscale and Nanoscale Physics · Physics 2018-04-02 Si Li , Cheng-Cheng Liu , Yugui Yao

Topological theories have established a new set of rules that govern the transport properties in a wide variety of wave-mechanical settings. In a marked departure from the established approaches that induce Floquet topological phases by…

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

Time-reversal symmetry breaking superconductors are exotic phases of matter with fascinating properties, which are, however, encountered rather sparsely. Here we identify the possibility of realizing such a superconducting ground state that…

Mesoscale and Nanoscale Physics · Physics 2014-08-01 Bitan Roy , Vladimir Juricic

We have established a rigorous theoretical formalism for Floquet engineering, or investigating and eventually tailoring most crucial electronic properties of tetragonal molybdenum disulfide (1T$^\prime$-MoS$_2$), by applying an external…

Materials Science · Physics 2022-06-22 Andrii Iurov , Liubov Zhemchuzhna , Godfrey Gumbs , Danhong Huang , Kathy Blaise , Chinedu Ejiogu