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A three-dimensional topological insulator features a two-dimensional surface state consisting of a single linearly-dispersive Dirac cone. Under broken time-reversal symmetry, the single Dirac cone is predicted to cause half-integer…

Mesoscale and Nanoscale Physics · Physics 2022-02-03 M. Mogi , Y. Okamura , M. Kawamura , R. Yoshimi , K. Yasuda , A. Tsukazaki , K. S. Takahashi , T. Morimoto , N. Nagaosa , M. Kawasaki , Y. Takahashi , Y. Tokura

The pursuit of understanding parity anomaly in condensed matter systems has led to significant advancements in both theoretical and experimental research in recent years. In this study, we explore the parity anomaly of massless Dirac…

Mesoscale and Nanoscale Physics · Physics 2024-03-14 Huan-Wen Wang , Bo Fu , Shun-Qing Shen

A semimagnetic topological insulator -- a heterostructure combining a topological insulator with a ferromagnet -- exhibits a half-quantized Hall effect, characterized by a quantized Hall conductance of $\frac{1}{2}\frac{e^{2}}{h}$ (where…

Disordered Systems and Neural Networks · Physics 2025-10-30 Shi-Hao Bi , Bo Fu , Shun-Qing Shen

Condensed matter realization of a single Dirac cone of fermions in two dimensions is a long-standing issue. Here we report the discovery of a single gapless Dirac cone of half-quantized Hall conductance in a magnetically-doped topological…

Mesoscale and Nanoscale Physics · Physics 2023-04-12 Jin-Yu Zou , Rui Chen , Bo Fu , Huan-Wen Wang , Zi-Ang Hu , Shun-Qing Shen

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

Recently,a half-quantized Hall conductance (HQHC) plateau is experimentally observed in a semi-magnetic topological insulator heterostructure. However,the heterostructure is metallic with a nonzero longitudinal conductance, which…

Mesoscale and Nanoscale Physics · Physics 2022-09-14 Humian Zhou , Hailong Li , Dong-Hui Xu , Chui-Zhen Chen , Qing-Feng Sun , X. C. Xie

Recent work has extended topological band theory to open, non-Hermitian Hamiltonians, yet little is understood about how non-Hermiticity alters the topological quantization of associated observables. We address this problem by studying the…

Mesoscale and Nanoscale Physics · Physics 2018-10-31 Timothy M. Philip , Mark R. Hirsbrunner , Matthew J. Gilbert

Magnetically doped topological insulators have been extensively studied over the past decade as a material platform to exhibit quantum anomalous Hall effect. Most material realizations are magnetically doped and despite material advances…

Mesoscale and Nanoscale Physics · Physics 2024-01-17 Zhenisbek Tagay , Hee Taek Yi , Deepti Jain , Seongshik Oh , N. P. Armitage

The parity anomalous semimetal is a topological state of matter characterized by its semi-metallic nature and a quantum Hall conductance of one-half $e^{2}/h$ ($e$ is the elementary charge and $h$ is the Planck constant). Here we…

Mesoscale and Nanoscale Physics · Physics 2025-11-19 Shi-Hao Bi , Bo Fu , Shun-Qing Shen

The half-quantized Hall conductance is characteristic of quantum systems with parity anomaly. Here we investigate topological and transport properties of a class of parity anomalous semimetals, in which massive Dirac fermions coexist with…

Mesoscale and Nanoscale Physics · Physics 2022-05-18 Jin-Yu Zou , Bo Fu , Huan-Wen Wang , Zi-Ang Hu , Shun-Qing Shen

A single massive Dirac surface band is predicted to exhibit a half-quantized Hall conductance, a hallmark of the C = 1/2 parity anomaly state in quantum field theory. Experimental signatures of the C = 1/2 parity anomaly state have been…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Deyi Zhuo , Bomin Zhang , Humian Zhou , Han Tay , Xiaoda Liu , Zhiyuan Xi , Chui-Zhen Chen , Cui-Zu Chang

Two-dimensional Dirac semimetals with a single massless Dirac cone exhibit the parity anomaly. Usually, such a kind of anomalous topological semimetallic phase in real materials is unstable where any amount of disorder can drive it into a…

Mesoscale and Nanoscale Physics · Physics 2023-09-14 Zhen Ning , Xianyong Ding , Dong-Hui Xu , Rui Wang

Topological insulators are bulk electronic insulators which possess symmetry protected gapless modes on their surfaces. Breaking the symmetries that underlie the gapless nature of the surface modes is predicted to give rise to exotic new…

Strongly Correlated Electrons · Physics 2014-10-15 J. G. Checkelsky , R. Yoshimi , A. Tsukazaki , K. S. Takahashi , Y. Kozuka , J. Falson , M. Kawasaki , Y. Tokura

A weak superconducting proximity effect in the vicinity of the topological transition of a quantum anomalous Hall system has been proposed as a venue to realize a topological superconductor (TSC) with chiral Majorana edge modes (CMEMs). A…

Superconductivity · Physics 2018-03-16 Yingyi Huang , F. Setiawan , Jay D. Sau

Recent years have witnessed tremendous success in the discovery of topological states of matter. Particularly, sophisticated theoretical methods in time-reversal-invariant topological phases have been developed, leading to the comprehensive…

Materials Science · Physics 2021-04-26 Jinbo Pan , Jiabin Yu , Yan-Fang Zhang , Shixuan Du , Anderson Janotti , Chao-Xing Liu , Qimin Yan

Charge carriers in Dirac/Weyl semi-metals exhibit a relativistic-like behavior. In this work we propose a novel type of intrinsic half-integer Quantum Hall effect in 2D materials, thereby also offering a topological protection mechanism for…

Mesoscale and Nanoscale Physics · Physics 2022-04-05 D. Dudal , F. Matusalem , A. J. Mizher , A. R. Rocha , C. Villavicencio

Recent advances in constructing synthetic dimension provide a powerful tool for exploring exotic topological states of matter in high dimensions. Here we report that the parity anomaly and associated \textit{half-integer} quantized Hall…

Mesoscale and Nanoscale Physics · Physics 2025-05-15 Xian-Hao Wei , Xi-Wang Luo , Guang-Can Guo , Zheng-Wei Zhou

The anomalous spin Hall conductivity in the holographic model of Dirac semimetals with two Dirac nodes protected by the crystal symmetry has been elaborated. Such system besides the chiral anomaly possesses another anomaly which is related…

High Energy Physics - Theory · Physics 2021-10-19 Bartłomiej Kiczek , Marek Rogatko , Karol I. Wysokiński

The quantum anomalous Hall (QAH) effect holds fundamental importance in topological physics and technological promise for electronics. It is generally believed that the QAH effect can only be realized in insulators. In this Letter, we…

Mesoscale and Nanoscale Physics · Physics 2025-12-30 Yu-Hao Wan , Peng-Yi Liu , Qing-Feng Sun

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
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