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Altermagnets are a recently discovered class of compensated magnets with momentum-dependent spin splittings and unusual transport properties, even without a net magnetization. In the presence of combined four-fold rotation and time-reversal…

Mesoscale and Nanoscale Physics · Physics 2025-10-17 Arnob Mukherjee , Biplab Sanyal , Annica M. Black-Schaffer , Ankita Bhattacharya

Altermagnetism is an unconventional form of antiferromagnetism characterized by momentum-dependent spin polarization of electronic states and zero net magnetization, arising from specific crystalline symmetries. In the presence of…

Materials Science · Physics 2026-02-03 Chao Chen Ye , Karma Tenzin , Jagoda Sławińska , Carmine Autieri

We present a theory of the Anomalous Hall Effect (AHE) in ferromagnetic (Ga,Mn)As in the regime when conduction is due to phonon-assisted hopping of holes between localized states in the impurity band. We show that the microscopic origin of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. A. Burkov , Leon Balents

We propose a magnon-driven anomalous Hall effect in altermagnets, arising from the coupling between coherently excited chiral magnons and chiral electronic motion. Using density-matrix perturbation theory and symmetry analysis, we show that…

Mesoscale and Nanoscale Physics · Physics 2026-03-23 Zheng Liu , Yang Gao , Qian Niu

Traditional view of the anomalous Hall effect~(AHE) in ferromagnets is that it arises from the magnetization perpendicular to the measurement plane and that there is a linear dependence on the latter. Underlying such a view is the thinking…

Materials Science · Physics 2024-08-19 Zheng Liu , Mengjie Wei , Dazhi Hou , Yang Gao , Qian Niu

The Anomalous Hall Effect (AHE) manifests as a transverse voltage proportional to magnetization in ferromagnetic materials under the application of a charge current, being an indispensable tool for probing magnetism, especially in nanoscale…

Anomalous Hall effect (AHE), which arises when a current is passed through a ferromagnetic material subjected to a perpendicular magnetic field, is proportional to the magnetization of the sample.Additional hump-like features in AHE are…

Materials Science · Physics 2022-02-09 Nandana Bhattacharya , S. Middey

In the $R$Al(Si,Ge) ($R$: lanthanides) family, both spatial inversion and time-reversal symmetries are broken. This may offer opportunities to study Weyl-fermion physics in nontrivial spin structures emerging from a noncentrosymmetric…

Strongly Correlated Electrons · Physics 2024-01-22 Naoki Kikugawa , Shinya Uji , Taichi Terashima

We investigate the possibility of observing the anomalous Hall effect (AHE) in two dimensional paramagnetic systems. We apply the semiclassical equations of motion to carriers in the conduction and valence bands of wurtzite and zincblende…

Condensed Matter · Physics 2009-11-10 Dimitrie Culcer , Allan MacDonald , Qian Niu

We investigate the emergence of quantum anomalous Hall conductivity in a two-dimensional $d$-wave altermagnet on a Lieb lattice under an external magnetic field. Altermagnetic order induces momentum-dependent spin splitting without net…

Mesoscale and Nanoscale Physics · Physics 2026-04-03 Meysam Bagheri Tagani , Amar Fakhredine , Carmine Autieri

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…

We consider the Anomalous Hall Effect (AHE) in thin disordered ferromagnetic films. Using a microscopic model of electrons in a random potential of identical impurities including spin-orbit coupling, we develop a general formulation for…

Disordered Systems and Neural Networks · Physics 2009-11-13 K. A. Muttalib , P. Woelfle

In a heavy fermion system, there exists the anomalous Hall effect caused by localized $f$-orbital freedom, in addition to the normal Hall effect due to the Lorentz force. In 1994, we found that the Hall coefficient caused by the anomalous…

Strongly Correlated Electrons · Physics 2009-10-30 Hiroshi Kontani , Morio Miyazawa , Kosaku Yamada

Altermagnetism, a new class of collinear compensated magnetic phase, has garnered tremendous interest because of its rich physics and promising applications. Physical models and verified material candidates for altermagnetism remain…

Strongly Correlated Electrons · Physics 2025-04-28 Xingchuan Zhu , Xingmin Huo , Shiping Feng , Song-Bo Zhang , Shengyuan A. Yang , Huaiming Guo

We study the anomalous Hall-like effect (AHLE) and the effective anisotropic magnetoresistance (EAMR) in antiferromagnetic {\gamma} -IrMn3/Y3Fe5O12(YIG) and Pt/YIG heterostructures. For {\gamma} -IrMn3/YIG, the EAMR and the AHLE resistivity…

Materials Science · Physics 2015-08-12 Xiang Zhou , Li Ma , Zhong Shi , Wei-Jia Fan , Jian-Guo Zheng , R. F. L. Evans , Shi-Ming Zhou

To elucidate the origin of anomalous Hall effect (AHE) in ferromagnetic transition metals, we study the intrinsic AHE based on a multi-orbital (xz,yz)-tight-binding model. We find that a large anomalous velocity comes from the off-diagonal…

Strongly Correlated Electrons · Physics 2009-11-13 H. Kontani , T. Tanaka , K. Yamada

Noncollinear antiferromagnets have recently been attracting considerable interest partly due to recent surprising discoveries of the anomalous Hall effect (AHE) in them and partly because they have promising applications in…

Materials Science · Physics 2019-10-22 Guang-Yu Guo , Tzu-Cheng Wang

The Hall effect, particularly that arising from in-plane magnetic field, has recently emerged as a sensitive probe of quantum geometric properties in solids. Especially in trigonal systems, in-plane anomalous Hall effect (AHE) can be…

Metallic amorphous ferrimagnets derived from alloying 3d transition metals with 4f electron rare earths host fascinating effects of compensation between the 3d and 4f magnetic sublattices. Here, a detailed study of anisotropic…

Mesoscale and Nanoscale Physics · Physics 2025-01-17 Ramesh C Budhani , Rajeev Nepal , Vinay Sharma , Jerzy Sadowski

The anomalous Hall effect (AHE), which provides a bridgeway between the geometry of quantum wavefunctions and transport measurements, has been a key focus of intensive studies. In addition to the well-studied linear AHE, governed by the…

Mesoscale and Nanoscale Physics · Physics 2024-10-21 Xu Zhang , Kai Sun , Zi Yang Meng
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