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Chiral magnetic states give rise to rich phenomena, from the anomalous Hall effect and the nonlinear electrical current to multiferroics and magnetochiral dichroism. Most of the studies on electrical transport so far have focused on the…

Strongly Correlated Electrons · Physics 2025-12-29 Hajime Murata , Hiroaki Ishizuka

Non-collinear triangular antiferromagnets with a coplanar spin arrangement and vanishing net magnetic moment can exhibit a large anomalous Hall effect owing to their non-vanishing momentum space Berry curvature. Here we show the existence…

Strongly Correlated Electrons · Physics 2019-05-15 Pradeep K. Rout , P. V. Prakash Madduri , Subhendu K. Manna , Ajaya K. Nayak

Hall conductivity for the intrinsic anomalous quantum Hall effect in homogeneous systems is given by the topological invariant composed of the Green function depending on momentum of quasiparticle. This expression reveals correspondence…

Mesoscale and Nanoscale Physics · Physics 2023-06-21 M. Selch , M. Suleymanov , C. X. Zhang , M. A. Zubkov

The electrical Hall effect can be significantly enhanced through the interplay of the conduction electrons with magnetism, which is known as the anomalous Hall effect (AHE). Whereas the mechanism related to band topology has been…

We predict the coexistence of tunneling spin and valley Hall effects when electrons in graphene coherently transmit through a barrier with the broken inversion symmetry and proximity-induced spin-orbit coupling. Due to the rotation of the…

Mesoscale and Nanoscale Physics · Physics 2025-02-20 W. Zeng

For over a century, the Hall effect, a transverse effect under out-of-plane magnetic field or magnetization, has been a cornerstone for magnetotransport studies and applications. Modern theoretical formulation based on the Berry curvature…

Mesoscale and Nanoscale Physics · Physics 2024-12-05 Ayano Nakamura , Shinichi Nishihaya , Hiroaki Ishizuka , Markus Kriener , Yuto Watanabe , Masaki Uchida

We apply homogenization theory to calculate the effective electric conductivity and Hall coefficient tensor of passive three-dimensionally periodic metamaterials subject to a weak external static homogeneous magnetic field. We not only…

Mesoscale and Nanoscale Physics · Physics 2018-09-26 Christian Kern , Graeme W Milton , Muamer Kadic , Martin Wegener

We report the observation of a quantum anomalous Hall effect in twisted bilayer graphene showing Hall resistance quantized to within .1\% of the von Klitzing constant $h/e^2$ at zero magnetic field.The effect is driven by intrinsic strong…

Strongly Correlated Electrons · Physics 2020-03-18 M. Serlin , C. L. Tschirhart , H. Polshyn , Y. Zhang , J. Zhu , K. Watanabe , T. Taniguchi , L. Balents , A. F. Young

We investigate the Kondo effect in the two-dimensional electron system with a non-trivial quadratic energy band crossing point. We show that the Kondo effect can induce a new hybrid topological insulator phase which is a coexistence state…

Strongly Correlated Electrons · Physics 2016-10-04 Rui Wang , Baigeng Wang , L. Sheng , D. Y. Xing , Jian Wang

The effect of spin-orbit interaction on electron transport properties of a cross-junction structure is studied. It is shown that it results in spin polarization of left and right outgoing electron waves. Consequently, incoming electron wave…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. N. Bulgakov , K. N. Pichugin , A. F. Sadreev , P. Středa , P. Šeba

The Orbital Hall effect, which originates from materials with weak spin-orbit coupling, has attracted considerable interest for spin-orbitronic applications. Here, we demonstrate the inverse effect of the orbital Hall effect and observe…

Mesoscale and Nanoscale Physics · Physics 2023-06-19 Ping Wang , Zheng Feng , Yuhe Yang , Delin Zhang , Quancheng Liu , Zedong Xu , Zhiyan Jia , Yong Wu , Guoqiang Yu , Xiaoguang Xu , Yong Jiang

Hall experiments in chiral magnets are often analyzed as the sum of an anomalous Hall effect, dominated by momentum-space Berry curvature, and a topological Hall effect, arising from the real-space Berry curvature in the presence of…

Mesoscale and Nanoscale Physics · Physics 2022-03-16 Nishchhal Verma , Zachariah Addison , Mohit Randeria

The topological Hall effect (THE) originates from the real-space Berry phase that an electron gains when its spin follows the spatially varying non-trivial magnetization textures, such as skyrmions. Such topologically protected…

Materials Science · Physics 2023-06-09 Liang Wu , Yujun Zhang

Magnetoresistance (MR) provides a crucial tool for experimentally studying spin torques. While MR is well established in the device geometry of the spin Hall effect (SHE), as exemplified by the magnet/heavy-metal heterostructures, its role…

Mesoscale and Nanoscale Physics · Physics 2026-01-13 Hantao Zhang , Ran Cheng

The realization of the quantum spin Hall effect in HgTe quantum wells has led to the development of topological materials which, in combination with magnetism and superconductivity, are predicted to host chiral Majorana fermions. However,…

The discovery of the quantum Hall effect founded the field of topological condensed matter physics. Its amazingly accurate quantisation of the Hall conductance, now enshrined in quantum metrology, is topologically protected: it is stable…

Mesoscale and Nanoscale Physics · Physics 2024-06-14 Benoit Douçot , Dima Kovrizhin , Roderich Moessner

We consider magnetotransport in a disordered two-dimensional electron gas in the presence of a periodic modulation in one direction. Existing quasiclassical and quantum approaches to this problem account for Weiss oscillations in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 G. Schwiete , D. Taras-Semchuk , K. B. Efetov

The quantum anomalous Hall effect refers to the quantization of Hall effect in the absence of applied magnetic field. The quantum anomalous Hall effect is of topological nature and well suited for field-free resistance metrology and…

Mesoscale and Nanoscale Physics · Physics 2022-09-21 Hang Chi , Jagadeesh S. Moodera

Magnetic materials exhibiting topological Dirac fermions are attracting significant attention for their promising technological potential in spintronics. In these systems, the combined effect of the spin-orbit coupling and magnetic order…

The synergy between real and reciprocal space topology is anticipated to yield a diverse array of topological properties in quantum materials. We address this pursuit by achieving topologically safeguarded magnetic order in novel Weyl…