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Quantized Hall conductance is a generic feature of two dimensional electronic systems with broken time reversal symmetry. In the quantum anomalous Hall state recently discovered in magnetic topological insulators, time reversal symmetry is…

Quantum anomalous Hall effect, with a trademark of dissipationless chiral edge states for electronics/spintronics transport applications, can be realized in materials with large spin-orbit coupling and strong intrinsic magnetization. After…

Mesoscale and Nanoscale Physics · Physics 2021-01-05 Muhammad Nadeem , Alex R. Hamilton , Michael S. Fuhrer , Xiaolin Wang

The quantum anomalous Hall effect, an exotic topological state first theoretically predicted by Haldane and recently experimentally observed, has attracted enormous interest for low-power-consumption electronics. In this work, we derived a…

Mesoscale and Nanoscale Physics · Physics 2017-08-11 Yizhou Liu , Yong Xu , Shou-Cheng Zhang , Wenhui Duan

We introduce a quantum spin Hall semimetal or Fermi liquid characterized with a Z2 topological invariant, measurable through circularly polarized light. We propose its engineering through two topological metallic band structures in crystals…

Mesoscale and Nanoscale Physics · Physics 2025-08-19 Karyn Le Hur

This article reviews the development of photonic analogues of quantum Hall effects, which have given rise to broad interest in topological phenomena in photonic systems over the past decade. We cover early investigations of geometric…

Optics · Physics 2023-11-30 Daniel Leykam , Daria Smirnova

In this work, we develop a mathematical theory for the photonic Hall effect and prove the existence of guided electromagnetic waves at the interface of two honeycomb photonic crystals. The guided wave resembles the edge states in electronic…

Optics · Physics 2026-01-01 Wei Li , Junshan Lin , Jiayu Qiu , Hai Zhang

The topological Hall effect (THE), given by a composite of electric and topologically non-trivial spin texture is commonly observed in magnetic skyrmion crystals. Here we present a study of the THE of electrons coupled to antiferromagnetic…

Strongly Correlated Electrons · Physics 2021-02-03 M. Tomé , H. D. Rosales

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…

We propose a new mechanism to explain the quantum anomalous Hall (QAH) effect and the electric-field-induced topological phase transition in AB-stacked MoTe${}_2$/WSe${}_2$ moir\'e heterobilayers at $\nu=1$ hole filling. We suggest that the…

Mesoscale and Nanoscale Physics · Physics 2022-12-21 Yao-Wen Chang , Yia-Chung Chang

Topological photonics provides a novel platform to explore topological physics beyond traditional electronic materials and stimulates promising applications in topologically protected light transport and lasers. Classical degrees of freedom…

The photoinduced topological phase transitions and thermal Hall conductivity of a kagome magnet with Heisenberg, Kitaev, and DM interactions under an external magnetic field aligned along the [111] directions is investigated in this study.…

Strongly Correlated Electrons · Physics 2024-04-25 Zhengguo Tang , Hongchao Shi , Heng Zhu , Bing Tang , Chaofei Liu

Topological Hall effect (THE) of electrons coupled to a noncoplanar spin texture has been studied so far for the strong- and weak-coupling regimes separately; the former in terms of the Berry phase and the latter by perturbation theory. In…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Kazuki Nakazawa , Manuel Bibes , Hiroshi Kohno

The topological states of matter and topological materials have been attracting extensive interests as one of the frontier topics in condensed matter physics and materials science since the discovery of quantum Hall effect in 1980s. So far…

Mesoscale and Nanoscale Physics · Physics 2022-03-03 Bo Fu , Jin-Yu Zou , Zi-Ang Hu , Huan-Wen Wang , Shun-Qing Shen

A quantum phase transition arises from competition between different ground states and is typically accessed by varying a single physical parameter near absolute zero temperature. The quantum anomalous Hall (QAH) effect with high Chern…

Mesoscale and Nanoscale Physics · Physics 2025-08-27 Ling-Jie Zhou , Deyi Zhuo , Ruobing Mei , Yi-Fan Zhao , Kaijie Yang , Ruoxi Zhang , Zijie Yan , Han Tay , Moses H. W. Chan , Chao-Xing Liu , Cui-Zu Chang

We consider the combined effect of a gap and a Zeeman interaction on the helical Dirac fermions which exist on the surface of a topological insulator. Magneto-optical properties, the magnetization, Hall effect and the density of states are…

Mesoscale and Nanoscale Physics · Physics 2015-06-08 Calvin J. Tabert , J. P. Carbotte

We discuss the anomalous Hall effect in a two-dimensional electron gas subject to a spatially varying magnetization. This topological Hall effect (THE) does not require any spin-orbit coupling, and arises solely from Berry phase acquired by…

Materials Science · Physics 2009-11-10 P. Bruno , V. K. Dugaev , M. Taillefumier

Recent experiments on few-layer graphene structures have reported indirect signatures of anomalous Hall crystals (AHCs), but the need for a top gate to stabilize the phase precludes direct imaging of the emergent electronic lattice. This…

Mesoscale and Nanoscale Physics · Physics 2026-03-02 Mark R. Hirsbrunner , Félix Desrochers , Joe Huxford , Yong Baek Kim

We demonstrate a new quantum state of matter---valley-polarized quantum anomalous Hall effect in monolayer silicene. In the presence of extrinsic Rashba spin-orbit coupling and exchange field, monolayer silicene can host a quantum…

Mesoscale and Nanoscale Physics · Physics 2014-12-10 Hui Pan , Zhenshan Li , Cheng-Cheng Liu , Guobao Zhu , Zhenhua Qiao , Yugui Yao

The helical edge states in a quantum spin Hall insulator are presumably protected by time- reversal symmetry. However, even in the presence of magnetic field which breaks time-reversal symmetry, the helical edge conduction can still exist,…

Mesoscale and Nanoscale Physics · Physics 2017-05-17 Hsiu-Chuan Hsu , Min-Jyun Jhang , Tsung-Wei Chen , Guang-Yu Guo

We consider theoretically staggered honeycomb lattices for photons which can be viewed as photonic analogs of transitional metal dichalcogenides (TMD) monolayers. We propose a simple realization of a photonic Quantum Valley Hall effect…

Mesoscale and Nanoscale Physics · Physics 2017-07-05 O. Bleu , D. D. Solnyshkov , G. Malpuech