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We systematically investigate how static symmetry-breaking perturbations and dynamic Floquet terms via a polarized light manipulate the topological phase transitions in the two-dimensional quadratic-band-crossing-point (QBCP) materials. The…

Mesoscale and Nanoscale Physics · Physics 2026-05-27 Wen-Hao Bian , Jing Wang

Electronic bands featuring nontrivial bulk topological invariant manifest through robust gapless modes at the boundaries, e.g., edges and surfaces. As such this bulk-boundary correspondence is also operative in driven quantum materials. For…

Mesoscale and Nanoscale Physics · Physics 2021-07-26 Tanay Nag , Bitan Roy

Topological phases in quantum and classical systems have been of significant recent interest due to their fascinating physical properties. While a range of different mechanisms to induce topological order have been introduced, a quest for…

Materials Science · Physics 2019-08-07 Mengyao Li , Xiang Ni , Matthew Weiner , Andrea Alù , Alexander B. Khanikaev

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

A recently-proposed class of photonic topological insulators is shown to map onto Chalker-Coddington-type networks, which were originally formulated to study disordered quantum Hall systems. Such network models are equivalent to the Floquet…

Mesoscale and Nanoscale Physics · Physics 2014-02-17 Michael Pasek , Y. D. Chong

The realization of on-chip polarization beam splitters robust to fabrication imperfections remains a key challenge for polarization-sensitive photonic integration. We demonstrate a topologically protected polarization beam splitter based on…

Optics · Physics 2026-04-23 Shirin Afzal , Amesh Kahloon , Shabir Barzanjeh

We demonstrate the photonic Floquet topological insulator (PFTI) in an atomic vapor with nonlinear susceptibilities. The interference of three coupling fields splits the energy levels periodically to form a periodic refractive index…

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

Recent experimental discovery of fractional Chern insulator in moir\'e Chern band in twisted transition metal dichalocogenide homobilayers has sparked intensive interest in exploring the ways of engineering band topology and correlated…

Strongly Correlated Electrons · Physics 2024-05-22 Xiaoyang Shen , Chonghao Wang , Ruiping Guo , Zhiming Xu , Wenhui Duan , Yong Xu

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

Floquet topological photonic insulators characterized by periodically-varying Hamiltonians are known to exhibit much richer topological behaviors than static systems. In a Floquet insulator, the phase evolution of the Floquet-Bloch modes…

Optics · Physics 2024-06-19 Shirin Afzal , Vien Van

Strongly correlated quantum systems can exhibit exotic behavior controlled by topology. We predict that the \nu=1/2 fractional Chern insulator arises naturally in a two-dimensional array of driven, dipolar-interacting spins. As a specific…

Strongly Correlated Electrons · Physics 2013-05-08 Norman Y. Yao , Alexey V. Gorshkov , Chris R. Laumann , Andreas M. Läuchli , Jun Ye , Mikhail D. Lukin

We study the topological structure of matter-light excitations, so called polaritons, in a quantum spin Hall insulator coupled to photonic cavity modes. We identify a topological invariant in the presence of time reversal (TR) symmetry, and…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 Alexander Janot , Bernd Rosenow , Gil Refael

Floquet engineering is a powerful tool that drives materials with periodic light. Traditionally, the light is monochromatic, with amplitude, frequency, and polarization varied. We introduce Floquet engineering via unpolarized light built…

Strongly Correlated Electrons · Physics 2021-05-04 V. L. Quito , Rebecca Flint

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

The period-doubling oscillation emerges with the coexistence between zero and {\pi} modes in Floquet topological insulator. Here, utilized the flexibility of the circuit, we construct the Floquet circuit with frequency-synthetic dimension…

Mesoscale and Nanoscale Physics · Physics 2024-08-06 Bo Lv , Shiyun Xia , Ye Tian , Ting Liu , Hongyang Mu , Zhichao Shen , Sijie Wang , Zheng Zhu , Huibin Tao , Fanyi Meng , Jinhui Shi

In a recent paper [Phys. Rev. Lett. 112 156801 (2014)], Grushin et al. studied a Fermi-Hubbard-model for spinful electrons on a honeycomb lattice coupled to an external polarized electric field. By computing the Floquet Hamiltonian…

Strongly Correlated Electrons · Physics 2014-12-12 Luca D'Alessio

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

Topological edge states form at the edges of periodic materials with specific degeneracies in their modal spectra, such as Dirac points, under the action of effects breaking certain symmetries of the system. In particular, in Floquet…

Floquet topological insulators are noninteracting quantum systems that, when driven by a time-periodic field, are described by effective Hamiltonians whose bands carry nontrivial topological invariants. A longstanding question concerns the…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Thomas Iadecola , Titus Neupert , Claudio Chamon
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