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The anomalous Hall effect in ferromagnetic metals is classified into two based on the mechanism. The first one is the intrinsic Hall effect due to the Berry curvature in momentum space; this is a Hall effect that solely arises from the band…

Mesoscale and Nanoscale Physics · Physics 2017-10-19 Hiroaki Ishizuka , Naoto Nagaosa

Extensive experimental results are presented on the multi-scale phase modulation phenomena observed in colossal magnetoresistance manganites. Two key types of phase inhomogeneities directly relevant to the colossal magnetoresistance (CMR)…

Strongly Correlated Electrons · Physics 2007-05-23 K. H. Kim , M. Uehara , V. Kiryukhin , S. -W. Cheong

As novel topological phases in correlated electron systems, we have found two examples of non-ferromagnetic states that exhibit a large anomalous Hall effect. One is the chiral spin liquid compound Pr$_{2}$Ir$_{2}$O$_{7}$, which exhibits a…

Strongly Correlated Electrons · Physics 2017-08-09 S. Nakatsuji , T. Higo , M. Ikhlas , T. Tomita , Z. Tian

We clarify the physical origin of anomalies in transverse resistivity often observed in exotic materials, such as SrRuO3, in which the Berry curvature is manifested in the transport properties. The previously attributed mechanism for the…

Materials Science · Physics 2018-12-05 Daisuke Kan , Takahiro Moriyama , Kento Kobayashi , Yuichi Shimakawa

While magnetoresistance (MR) has generally been found to be symmetric in applied field in non-magnetic or magnetic metals, we have observed antisymmetric MR in Co/Pt multilayers. Simultaneous domain imaging and transport measurements show…

Other Condensed Matter · Physics 2009-11-10 X. M. Cheng , S. Urazhdin , O. Tchernyshyov , C. L. Chien , V. I. Nikitenko , A. J. Shapiro , R. D. Shull

Spin spirals represent a fundamental class of noncollinear yet coplanar magnetic structures that give rise to diverse emergent phenomena reflecting spin chirality. We investigate metallic systems hosting commensurate spin spirals and…

Mesoscale and Nanoscale Physics · Physics 2025-12-17 Shun Okumura , Moritz M. Hirschmann , Yukitoshi Motome

The periodic response of magnetoresistance to an externally tunable parameter, such as magnetic field or chemical composition, in the bulk or an artificially designed material has been exploited for technological applications as well as to…

Materials Science · Physics 2012-09-04 S. Dickert , D. K. Singh , R. Thantirige , M. T. Tuominen

The condensed-matter version of the chiral anomaly describes how electrons are pumped from a Weyl node with negative chirality to a Weyl node with positive chirality using parallel electric and magnetic fields. Key experimental signatures…

Mesoscale and Nanoscale Physics · Physics 2025-06-12 Yongjian Wang , Alexander Wowchik , Thomas Boemerich , A. A. Taskin , Achim Rosch , Yoichi Ando

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

We experimentally reveal an unconventional anomalous Hall effect (UAHE) in a quasi-two-dimensional triangular-lattice antiferromagnet PdCrO2. Using high quality single crystals of PdCrO2, we found that the Hall resistivity deviates from the…

Strongly Correlated Electrons · Physics 2010-10-04 Hiroshi Takatsu , Shingo Yonezawa , Satoshi Fujimoto , Yoshiteru Maeno

The geometric ideas underlying the Berry phase and the modern viewpoint of Karplus and Luttinger's theory of the anomalous Hall effect are discussed in an elementary way. We briefly review recent Hall and Nernst experiments which support…

Other Condensed Matter · Physics 2017-08-23 N. P. Ong , Wei-Li Lee

Electrons in moir\'e flat band systems can spontaneously break time reversal symmetry, giving rise to a quantized anomalous Hall effect. Here we use a superconducting quantum interference device to image stray magnetic fields in one such…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 C. L. Tschirhart , M. Serlin , H. Polshyn , A. Shragai , Z. Xia , J. Zhu , Y. Zhang , K. Watanabe , T. Taniguchi , M. E. Huber , A. F. Young

The Berry curvature dipole is well-known to cause Hall conductivity. This study expands on previous results to demonstrate how two- and three-dimensional materials react under a tilted magnetic field in the linear and nonlinear regimes. We…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 Narjes Kheirabadi , YuanDong Wang

Anisotropic magnetoresistance is the change tendency of resistance of a material on the mutual orientation of the electric current and the external magnetic field. Here, we report experimental observations in the Dirac semimetal Cd3As2 of…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 Hui Li , Huanwen Wang , Hongtao He , Jiannong Wang , Shun-Qing Shen

Observations of the anomalous Hall effect in RuO$_2$ and MnTe have demonstrated unconventional time-reversal symmetry breaking in the electronic structure of a recently identified new class of compensated collinear magnets, dubbed…

By analyzing the spin-group symmetry of magnons, we establish two generalized Onsager's relations in the magnon thermal Hall effect, which reveals the rich and complicated structures of the magnon Berry curvature in the parameter space of…

Mesoscale and Nanoscale Physics · Physics 2026-03-04 Jikun Zhou , Yang Gao , Qian Niu

A valley-contrasting Berry curvature in bilayer transition metal dichalcogenides with spin-orbit coupling can generate valley magnetization when the inversion symmetry is broken, for example, by an electric field, regardless of…

Mesoscale and Nanoscale Physics · Physics 2021-01-12 Vassilios Vargiamidis , P. Vasilopoulos , M. Tahir , Neophytos Neophytou

Itinerant ferromagnets constitute an important class of materials wherein spin-polarization can affect the electric transport properties in nontrivial ways. One such phenomenon is anomalous Hall effect which depends on the details of the…

The symmetry considerations that imply a non-zero anomalous Hall effect (AHE) in certain non-collinear antiferromagnets also imply both non-zero orbital magnetization and a net spin magnetization. We have explicitly evaluated the orbital…

Mesoscale and Nanoscale Physics · Physics 2020-04-01 Hua Chen , Tzu-Cheng Wang , Di Xiao , Guang-Yu Guo , Qian Niu , Allan H. MacDonald

It is shown that the presence of matrix dipole moments induced by external electric fields can modify the Hall response in two dimensional Topological insulators. In the case of the Quantum Anomalous Hall effect the induced transverse…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Alberto Cortijo