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Novel topological properties that arose in the periodically driven system are unique, in which there are two kinds of quasienergy gaps, the zero quasienergy gap and the $\pi$ quasienergy gap. The corresponding edge modes would traverse…

Mesoscale and Nanoscale Physics · Physics 2023-11-08 Fei Yang , Zheng Wei , TianMeng Li , Su-Peng Kou

In recent years, Floquet engineering has attracted considerable attention as a promising approach for tuning topological phase transitions. In this work, we investigate the effects of high-frequency time-periodic driving in a…

Mesoscale and Nanoscale Physics · Physics 2024-01-09 Zheng-Rong Liu , Rui Chen , Bin Zhou

We consider a periodically $\delta$-kicked Haldane type Chern insulator with the kicking applied in the $\hat{z}$ direction. This is known to behave as an inversion symmetry breaking perturbation, since it introduces a time-dependent…

Mesoscale and Nanoscale Physics · Physics 2018-02-14 Tridev Mishra , Anurag Pallaprolu , Tapomoy Guha Sarkar , Jayendra N. Bandyopadhyay

Realizing topological insulators is of great current interest because of their remarkable properties and possible future applications. There are recent proposals, based on Floquet analyses, that one can generate topologically nontrivial…

Quantum Gases · Physics 2016-08-02 Luca D'Alessio , Marcos Rigol

Floquet topological insulators have been widely investigated in lower-dimensional systems. However, Floquet topological insulators induced by time-periodic driving in higher-dimensional systems remain unexplored. In this work, we study the…

Mesoscale and Nanoscale Physics · Physics 2024-03-11 Zheng-Rong Liu , Rui Chen , Bin Zhou

One of the most intriguing advantage of Floquet engineering is to generate new phases with large topological invariants. In this work, we experimentally simulate a periodically quenched generalized Haldane model on an NV center in diamond,…

We study the many-body physics in twisted bilayer graphene coupled to periodic driving of a circularly polarized light when electron-electron interactions are taken into account. In the limit of high driving frequency $\Omega$, we use…

Strongly Correlated Electrons · Physics 2023-10-11 Peng-Sheng Hu , Yi-Han Zhou , Zhao Liu

In this paper we explore the effects of quasiperiodicity in paradigmatic models of Chern insulators. We identify a plethora of topological phase transitions and characterize them based on spectral and localization properties. Contrary to…

Disordered Systems and Neural Networks · Physics 2022-12-16 Tiago S. Gonçalves , Miguel Gonçalves , Pedro Ribeiro , Bruno Amorim

Chern insulators exhibit fascinating properties which originate from the topologically nontrivial state characterized by the Chern number. How these properties change if the system is quenched between topologically distinct phases has…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 Michael Schüler , Philipp Werner

Achieving topologically-protected robust transport in optical systems has recently been of great interest. Most topological photonic structures can be understood by solving the eigenvalue problem of Maxwell's equations for a static linear…

Driven Floquet systems can realize topological phases with no static counterparts. These so-called anomalous Floquet topology breaks the bulk-boundary correspondence based on the Chern number. The number of edge modes in each band gap is…

Mesoscale and Nanoscale Physics · Physics 2026-03-27 Luca Asteria , Klaus Sengstock , André Eckardt , Christof Weitenberg

The field of topological photonics studies unique and robust photonic systems that are immune to defects and disorders due to the protection of their underlying topological phases. Mostly implemented in static systems, the studied…

Optics · Physics 2023-04-20 Jicheng Jin , Li He , Jian Lu , Lin Chang , Chen Shang , John E. Bowers , Eugene J. Mele , Bo Zhen

Coherent control via periodic modulation, also known as Floquet engineering, has emerged as a powerful experimental method for the realization of novel quantum systems with exotic properties. In particular, it has been employed to study…

We theoretically investigate a periodically driven semimetal based on a square lattice. The possibility of engineering both Floquet Topological Insulator featuring Floquet edge states and Floquet higher order topological insulating phase,…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 Arnob Kumar Ghosh , Ganesh C. Paul , Arijit Saha

Considering coupling to a micro-structured bath as a relaxation mechanism in a periodically driven dissipative Haldane model, we establish that the system may be tuned to a stroboscopic topological steady state at all finite temperatures.…

Statistical Mechanics · Physics 2020-11-11 Souvik Bandyopadhyay , Amit Dutta

We demonstrate that the prototypical two-dimensional Chern insulator hosts exotic quantum multi-criticality in the presence of an appropriate periodic driving: a linear Dirac-like transition coexists with a nodal loop-like transition caused…

Statistical Mechanics · Physics 2020-04-15 Paolo Molignini , Wei Chen , R. Chitra

Two-dimensional periodically driven systems can host an unconventional topological phase unattainable for equilibrium systems, termed the Anomalous Floquet-Anderson insulator (AFAI). The AFAI features a quasi-energy spectrum with chiral…

Strongly Correlated Electrons · Physics 2022-04-20 Carolyn Zhang , Tobias Holder , Netanel H. Lindner , Mark Rudner , Erez Berg

We theoretically and numerically investigate Chern vector insulators and topological surface states in a three-dimensional lattice, based on phase-delayed temporal-periodic interactions within the tight-binding model. These Floquet…

Materials Science · Physics 2024-12-10 Fangyuan Ma , Junrong Feng , Feng Li , Ying Wu , Di Zhou

Commonly, a two-dimensional topological insulator is characterized by non-zero Chern numbers associated with its band structure. In our work, we present the experimental demonstration of an anomalous topological insulator, for which the…

We study topological insulators under dephasing noise. With examples of both a $2d$ Chern insulator and a $3d$ topological insulator protected by time-reversal symmetry, we demonstrate that there is a phase transition at finite dephasing…

Strongly Correlated Electrons · Physics 2025-11-17 Thomas G. Kiely , Cenke Xu
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