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The cooperation of electronic correlation and spin-orbit coupling can stabilize magnetic topological insulators which host novel quantum phenomena such as the quantum anomalous Hall state also known as Chern insulator (CI). Here, we…

Strongly Correlated Electrons · Physics 2024-10-01 Mohsen Hafez-Torbati

We investigate the effect of a high frequency electromagnetic field with both of circularly and linearly polarization, on the emergence of quantum phases on thin topological insulators. Simultaneously, the influence of the system parameters…

Mesoscale and Nanoscale Physics · Physics 2021-12-21 S. Sajad Dabiri , Hosein Cheraghchi

We investigate the fate of hardcore bosons in a Harper-Hofstadter model which was experimentally realized by Aidelsburger et al. [Nature Physics 11 , 162 (2015)] at half filling of the lowest band. We discuss the stability of an emergent…

Strongly Correlated Electrons · Physics 2017-10-20 Johannes Motruk , Frank Pollmann

Moir\'e flatbands with high Chern numbers (C>1) offer opportunities to study the fractional quantum anomalous Hall effects that go beyond the Landau level paradigm with C=1, which remain unexplored yet. Here, we target the novel topological…

Floquet states of periodically driven systems could exhibit rich topological properties. Many of them are absent in their static counterparts. One such example is the chiral edge states in anomalous Floquet topological insulators, whose…

Mesoscale and Nanoscale Physics · Physics 2018-07-03 Longwen Zhou , Jiangbin Gong

We investigate the effects of disorder in Floquet topological insulators (FTIs) occurring in semiconductor quantum wells. Such FTIs are induced by resonantly driving a transition between the valence and conduction band. We show that when…

Disordered Systems and Neural Networks · Physics 2017-08-28 Paraj Titum , Netanel H. Lindner , Gil Refael

Fractional Chern insulators are lattice analogs of fractional quantum Hall states that realize fractionalized quasiparticles without an external magnetic field. A key strategy to understand and design these phases is to map Chern bands onto…

Mesoscale and Nanoscale Physics · Physics 2026-05-19 Bohao Li , Yunze Ouyang , Fengcheng Wu

The quantized version of anomalous Hall effect realized in magnetic topological insulators (MTIs) has great potential for the development of topological quantum physics and low-power electronic/spintronic applications. To enable…

Mesoscale and Nanoscale Physics · Physics 2021-05-25 Yuchen Ji , Zheng Liu , Peng Zhang , Lun Li , Shifei Qi , Peng Chen , Yong Zhang , Qi Yao , Zhongkai Liu , Kang L. Wang , Zhenhua Qiao , Xufeng Kou

The recent observation of the fractional quantum anomalous Hall effect in moir\'e fractional Chern insulators provides an opportunity to investigate zero magnetic field anyons. To potentially realize non-Abelian anyons, one approach is to…

Robustness against disorder and defects is a pivotal advantage of topological systems, manifested by absence of electronic backscattering in the quantum Hall and spin-Hall effects, and unidirectional waveguiding in their classical analogs.…

Mesoscale and Nanoscale Physics · Physics 2021-03-24 Zhe Zhang , Pierre Delplace , Romain Fleury

Two-dimensional moire materials present unprecedented opportunities to explore quantum phases of matter arising from the interplay of band topology and strong correlations.One of the most striking examples is the recent observation of…

The theoretical analysis of topological insulators (TIs) has been traditionally focused on infinite homogeneous crystals with band gap in the bulk and nontrivial topology of their wavefunctions, or infinite wires whose boundaries host…

Mesoscale and Nanoscale Physics · Physics 2020-09-21 Utkarsh Bajpai , Mark J. H. Ku , Branislav K. Nikolic

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

Motivated by recent observations of fractional Chern insulators (FCIs) in the vicinity of superconducting (SC) phases, we study fractional quantum (anomalous) Hall-superconductor heterostructures in the presence of $U(1)$ order-parameter…

Strongly Correlated Electrons · Physics 2025-10-31 Steffen Bollmann , Andreas Haller , Jukka I. Väyrynen , Thomas L. Schmidt , Elio J. König

We study the quantum topological properties of Floquet (time-periodic) systems exhibiting Hall effects due to perpendicular magnetic and electric fields. The systems are charged particles periodically kicked by a one-dimensional cosine…

Mesoscale and Nanoscale Physics · Physics 2019-09-24 Itzhack Dana , Kazuhiro Kubo

Among the extensive studies of fractional quantum anomalous Hall (FQAH) states, there recently appears a growing interest in the topological states with coexisting charge density wave (CDW) orders. Such states are referred to as Hall…

Strongly Correlated Electrons · Physics 2025-09-03 Hongyu Lu , Han-Qing Wu , Bin-Bin Chen , Wang Yao , Zi Yang Meng

In magnetic topological insulators, a phase transition between a quantum anomalous Hall (QAH) and an Anderson localization phase can be triggered by the rotation of an applied magnetic field. Without the scattering paths along magnetic…

Mesoscale and Nanoscale Physics · Physics 2026-01-05 Kristof Moors , Gen Yin

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 study the possibility of realizing quantum anomalous Hall effect (QAHE) with tunable Chern number through doping magnetic elements in the multi-layer topological insulator film. We find that high Chern number QAHE phases exist in the…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Hua Jiang , Zhenhua Qiao , Haiwen Liu , Qian Niu

The quantum anomalous Hall effect is a intriguing quantum state which exhibits the chiral edge states in the absence of magnetic field. While the search for quantum anomalous Hall insulators is still active, the researchers mainly search…

Mesoscale and Nanoscale Physics · Physics 2020-02-19 Ping Li , Tian-Yi Cai