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The half-quantized anomalous Hall conductance (AHC) in topological materials is a condensed matter physics realization of the parity anomaly of (2+1) quantum field theory and an important challenge for both theoretical and experimental…

Mesoscale and Nanoscale Physics · Physics 2026-04-14 Shahid Sattar , Roman Stepanov , Alexander Tyner , M. F. Islam , A. H. MacDonald , C. M. Canali

In a magnetic topological insulator, nontrivial band topology conspires with magnetic order to produce exotic states of matter that are best exemplified by quantum anomalous Hall (QAH) insulators and axion insulators. Up till now, such…

Materials Science · Physics 2020-03-18 Yujun Deng , Yijun Yu , Meng Zhu Shi , Jing Wang , Xian Hui Chen , Yuanbo Zhang

Recent discoveries have spurred the theoretical prediction and experimental realization of novel materials that have topological properties arising from band inversion. Such topological insulators are insulating in the bulk but have…

Mesoscale and Nanoscale Physics · Physics 2017-07-26 M. Kotulla , U. Zülicke

Active materials are capable of converting free energy into directional motion, giving rise to striking dynamical phenomena. Developing a general understanding of their structure in relation to the underlying non-equilibrium physics would…

Soft Condensed Matter · Physics 2018-10-17 Nitin Kumar , Rui Zhang , Juan J. de Pablo , Margaret L. Gardel

Recent experiments on the twisted semiconductor bilayer system $t$MoTe$_2$ have observed integer and fractional quantum anomalous Hall effects, which occur in topological moir\'e bands at zero magnetic field. Here, we present a global phase…

Mesoscale and Nanoscale Physics · Physics 2023-12-25 Aidan P. Reddy , Liang Fu

The search of novel topological phases, such as the quantum anomalous Hall insulator (QAHI) or the axion insulator, has motivated different schemes to introduce magnetism into topological insulators. One scheme is to introduce ferromagnetic…

Mesoscale and Nanoscale Physics · Physics 2022-10-11 Andres E. Llacsahuanga Allcca , Xing-Chen Pan , Ireneusz Miotkowski , Katsumi Tanigaki , Yong P. Chen

A van der Waals heterostructure combined with intrinsic magnetism and topological orders have recently paved attractive avenues to realize quantum anomalous Hall effects. In this work, using first-principles calculations and effective model…

Materials Science · Physics 2020-04-22 Ruiling Zou , Fangyang Zhan , Baobing Zheng , Xiaozhi Wu , Jing Fan , Rui Wang

Hall tube with a tunable flux is an important geometry for studying quantum Hall physics, but its experimental realization in real space is still challenging. Here, we propose to realize a synthetic Hall tube with tunable flux in a…

Quantum Gases · Physics 2021-02-12 Xi-Wang Luo , Jing Zhang , Chuanwei Zhang

The quantum anomalous Hall effect (QAHE) is an exotic quantum phenomenon originating from dissipation-less chiral channels at the sample edge. While the QAHE has been observed in magnetically doped topological insulators (TIs), exploiting…

Two-dimensional electron gases in strong magnetic fields provide a canonical platform for realizing a variety of electronic ordering phenomena. Here we review the physics of one intriguing class of interaction-driven quantum Hall states:…

Strongly Correlated Electrons · Physics 2021-05-25 S. A. Parameswaran , B. E. Feldman

Periodically driven quantum systems provide a novel and versatile platform for realizing topological phenomena. Among these are analogs of topological insulators and superconductors, attainable in static systems; however, some of these…

Mesoscale and Nanoscale Physics · Physics 2016-05-12 Paraj Titum , Erez Berg , Mark S. Rudner , Gil Refael , Netanel H. Lindner

The interplay between spontaneous symmetry breaking and topology can result in exotic quantum states of matter. A celebrated example is the quantum anomalous Hall (QAH) state, which exhibits an integer quantum Hall effect at zero magnetic…

Recent experiments demonstrate the importance of substrate curvature for actively forced fluid dynamics. Yet, the covariant formulation and analysis of continuum models for non-equilibrium flows on curved surfaces still poses theoretical…

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

Topological insulators doped with transition metals have recently been found to host a strong ferromagnetic state with perpendicular to plane anisotropy as well as support a quantum Hall state with edge channel transport, even in the…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 S. Grauer , S. Schreyeck , M. Winnerlein , K. Brunner , C. Gould , L. W. Molenkamp

Anomalous nematic states, recently discovered in ultraclean two-dimensional electron gas, emerge from quantum Hall stripe phases upon further cooling. These states are hallmarked by a local minimum (maximum) in the hard (easy) longitudinal…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 X. Fu , Q. Shi , M. A. Zudov , G. C. Gardner , J. D. Watson , M. J. Manfra , K. W. Baldwin , L. N. Pfeiffer , K. W. West

In rapidly rotating bose systems we show that there is a region of anomalous hydrodynamics whilst the system is still condensed, which coincides with the mean field quantum Hall regime. An immediate consequence is the absence of a normal…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 A. Bourne , N. K. Wilkin , J. M. F. Gunn

In magnetic topological phases of matter, the quantum anomalous Hall (QAH) effect is an emergent phenomenon driven by ferromagnetic doping, magnetic proximity effects and strain engineering. The realization of QAH states with multiple…

Mesoscale and Nanoscale Physics · Physics 2019-10-23 R. Adhikari , V. V. Volobuev , B. Faina , G. Springholz , A. Bonanni

Recently, the quantum anomalous Hall effect (QAHE) has been theoretically proposed in compensated antiferromagnetic systems by using the magnetic topological insulator model [see arXiv:2404.13305 (2024)]. However, the related and systematic…

Materials Science · Physics 2025-07-08 Zeyu Li , Yulei Han , Zhenhua Qiao

We investigate elastic periodic structures characterized by topologically nontrivial bandgaps supporting backscattering suppressed edge waves. These edge waves are topologically protected and are obtained by breaking inversion symmetry…

Soft Condensed Matter · Physics 2017-03-08 Raj Kumar Pal , Massimo Ruzzene