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Topological quantum phases underpin many concepts of modern physics. While the existence of disorder-immune topological edge states of electrons usually requires magnetic fields, direct effects of magnetic field on light are very weak. As a…

The introduction of topological concepts to the design of photonic crystal cavities holds great promise for applications in integrated photonics due to the prospect of topological protection. This study examines the signatures of…

Time-periodic perturbations due to classical electromagnetic fields are useful to engineer the topological properties of matter using the Floquet theory. Here we investigate the effect of quantized electromagnetic fields by focusing on the…

Strongly Correlated Electrons · Physics 2015-10-16 Balázs Gulácsi , Balázs Dóra

In two-dimensional (2D) electron systems, an off-resonant high-frequency circularly polarized electromagnetic field can induce the quasi-stationary bound electron states of repulsive scatterers. As a consequence, the resonant scattering of…

Mesoscale and Nanoscale Physics · Physics 2020-08-07 O. V. Kibis , M. V. Boev , V. M. Kovalev

Quantum anomalous Hall effect (QAHE) is a fundamental transport phenomenon in the field of condensed-matter physics. Without external magnetic field, spontaneous magnetization combined with spin-orbit coupling give rise to a quantized Hall…

Mesoscale and Nanoscale Physics · Physics 2013-05-08 Z. F. Wang , Zheng Liu , Feng Liu

Recent theories predict dissipationless spin current induced by an electric field in doped semiconductors. Nevertheless, the charge current is still dissipative in these systems. In this work, we theoretically predict the dissipationless…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Shuichi Murakami , Naoto Nagaosa , Shou-Cheng Zhang

The discovery of the quantum Hall (QH) effect led to the realization of a topological electronic state with dissipationless currents circulating in one direction along the edge of a two dimensional electron layer under a strong magnetic…

The fate of integer quantum Hall effect (IQHE) at weak magnetic field is studied numerically in the presence of {\it correlated} disorders. We find a systematic {\it float-up} and {\it merging} picture for extended levels on the low-energy…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. N. Sheng , Z. Y. Weng , X. G. Wen

We demonstrate the experimental implementation of an optical lattice that allows for the generation of large homogeneous and tunable artificial magnetic fields with ultracold atoms. Using laser-assisted tunneling in a tilted optical…

Quantum Gases · Physics 2013-11-13 M. Aidelsburger , M. Atala , M. Lohse , J. T. Barreiro , B. Paredes , I. Bloch

Haldane's tight-binding model, which describes a Chern insulator in a two-dimensional hexagonal lattice, exhibits quantum Hall conductivity without an external magnetic field. Here, we explore an $\alpha -T_{3}$ lattice subjected to…

Mesoscale and Nanoscale Physics · Physics 2025-12-23 Othmane Benhaida , El Hassan Saidi , L. B. Drissi

The quantum Hall effect is studied numerically in modulated two-dimensional electron systems in the presence of disorder. Based on the scaling property of the Hall conductivity as well as the localization length, the critical energies where…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Mikito Koshino , Tsuneya Ando

Topological photonics has recently emerged as a route to realize robust optical circuitry, and nonlinear effects are expected to enable tunability of topological states with the light intensity. Here we realize experimentally nonlinear…

Topological matter is characterized by the presence of a topological BF term in its long-distance effective action. Topological defects due to the compactness of the U(1) gauge fields induce quantum phase transitions between topological…

Strongly Correlated Electrons · Physics 2011-09-29 M. C. Diamantini , C. A. Trugenberger

Detecting topological order in cold-atom experiments is an ongoing challenge, the resolution of which offers novel perspectives on topological matter. In material systems, unambiguous signatures of topological order exist for topological…

Quantum Gases · Physics 2013-04-25 N. Goldman , J. Dalibard , A. Dauphin , F. Gerbier , M. Lewenstein , P. Zoller , I. B. Spielman

Photonic topological insulators are a promising photonic platform due to the possibility of unidirectional edge states with insensitivity to bending, fabrication imperfections or environmental fluctuation. Here we demonstrate highly…

Optics · Physics 2020-01-22 Stephan Wong , Matthias Saba , Ortwin Hess , Sang Soon Oh

We show that there is an emergent lattice description for the continuous fractional quantum Hall (FQH) systems, with a generalised set of few-body coherent states. In particular, model Hamiltonians of the FQH effect are equivalent to the…

Strongly Correlated Electrons · Physics 2020-12-02 Bo Yang

Quantum Hall system possesses topologically protected edge states which have enormous theoretical and practical implications in both fermionic and bosonic systems. Harnessing the quantum Hall effect in optical platforms with lower…

Optics · Physics 2022-06-16 Shirong Lin , Luojia Wang , Luqi Yuan , Xianfeng Chen

Many striking non-equilibrium phenomena have been discovered or predicted in optically-driven quantum solids, ranging from light-induced superconductivity to Floquet-engineered topological phases. These effects are expected to lead to…

Mesoscale and Nanoscale Physics · Physics 2020-01-13 J. W. McIver , B. Schulte , F. -U. Stein , T. Matsuyama , G. Jotzu , G. Meier , A. Cavalleri

We discuss optical absorption in topological insulators and study possible photoelectric effects theoretically. We found that absorption of circularly polarized electromagnetic waves in two-dimensional topological insulators results in…

Mesoscale and Nanoscale Physics · Physics 2016-10-18 S. N. Artemenko , V. O. Kaladzhyan

Topological phases and modes, including pseudospin-Hall-selective edge transport and corner states, provide robust control of wave propagation and modal confinement in classical wave platforms. Under a tight-binding framework, we…

Mesoscale and Nanoscale Physics · Physics 2025-12-03 Shenglong Guo , Qinhui Jiang , Yuma Kawaguchi , Bo Li , Mengyao Li