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Related papers: Magnetic Octupole Hall Effect in d-Wave Altermagne…

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We study f-electron lattice models which are capable of supporting octupolar, as well dipolar and quadrupolar, order. Analyzing the properties of the Gamma8 ground state quartet, we find that (111)-type combinations of the Gamma5 octupoles…

Strongly Correlated Electrons · Physics 2009-11-10 Annamaria Kiss , P. Fazekas

Altermagnets break time-reversal symmetry and their spin-orbit coupling (SOC) allow for an anomalous Hall effect (AHE) that depends on the direction of the N\'eel ordering vector. The AHE and the ferromagnetic spin moment share the same…

Strongly Correlated Electrons · Physics 2025-07-03 Mercè Roig , Yue Yu , Rune C. Ekman , Andreas Kreisel , Brian M. Andersen , Daniel F. Agterberg

The optical Hall response is theoretically studied for spin-orbit coupled metals with ferroic orders of cluster-type magnetic multipoles. We find that different magnetic multipoles give rise to distinct spectra in the optical Hall…

Strongly Correlated Electrons · Physics 2021-02-16 Tatsuki Sato , Yuma Umimoto , Yusuke Sugita , Yasuyuki Kato , Yukitoshi Motome

Motivated by recent studies of odd-parity multipole order in condensed matter physics, we theoretically study magnetoelectric responses in an electric octupole state. Investigating the Edelstein effect and spin Hall effect in a locally…

Strongly Correlated Electrons · Physics 2019-05-22 Takanori Hitomi , Youichi Yanase

Altermagnets break a combination of time-reversal and rotational symmetries without generating a net magnetization. As such, the order parameter of $d$-wave altermagnets has the same symmetry as magnetic multipoles, and couples to the…

Altermagnets, a class of unconventional antiferromagnets where antiparallel spins are connected by combined rotational and translational symmetries, have recently emerged as promising candidates for spintronic applications, as they can…

Materials Science · Physics 2026-04-07 Ryosuke Hirakida , Karma Tenzin , Chao Chen Ye , Berkay Kilic , Carmine Autieri , Jagoda Sławińska

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

Altermagnets host an array of magnetic multipoles, which are often visualized and studied in the reciprocal space. In the real space, the relative phase of the multipoles of the spin-density around atoms determines whether a system is an…

Materials Science · Physics 2026-01-01 Luca Buiarelli , Rafael M. Fernandes , Turan Birol

While altermagnetic materials are characterized by a vanishing net magnetic moment, their symmetry in principle allows for the existence of an anomalous Hall effect (AHE). Here we introduce a model with altermagnetism in which the emergence…

Strongly Correlated Electrons · Physics 2024-09-05 Toshihiro Sato , Sonia Haddad , Ion Cosma Fulga , Fakher F. Assaad , Jeroen van den Brink

Reading antiferromagnetic order remains a central obstacle for antiferromagnetic memory and logic because zero net magnetisation precludes conventional magnetic readout. Domain imaging typically relies on x-ray magnetic linear dichroism…

We theoretically investigate the magnetic-multipole orders in two-dimensional (2D) altermagnets, focusing on two representative models: a generic minimal three-site model, and a four-site model representative of monolayer FeSe. We construct…

Mesoscale and Nanoscale Physics · Physics 2025-11-12 Tenta Tani , Ulrich Zülicke

Recent studies on altermagnets have focused considerable attention on nonrelativistic effects that persist in the absence of spin-orbit coupling (SOC). As a result, the relative importance of various phenomena in altermagnets has commonly…

Materials Science · Physics 2026-05-22 Xukun Feng , Jin Cao , Lay Kee Ang , Shengyuan A. Yang , Cong Xiao , X. C. Xie

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

The anomalous Hall effect (AHE) is a topology-related transport phenomenon being of potential interest in spintronics, because this effect enables the efficient probe of magnetic orders (i.e., data readout in memory devices). It is well…

Materials Science · Physics 2025-12-19 Longju Yu , Hong Jian Zhao , Yurong Yang , Laurent Bellaiche , Yanming Ma

Motivated by recent experiments on the observation of room temperature skyrmions in a layered heterostructure and subsequent demonstration of topological Hall effect in the same system, we have studied a minimal model of itinerant electrons…

Strongly Correlated Electrons · Physics 2020-05-27 Nyayabanta Swain , Munir Shahzad , Pinaki Sengupta

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 combined rotational and time-reversal symmetry breakings that define an altermagnet lead to an unusual d-wave (or g-wave) magnetization order parameter, which in turn can be modeled in terms of multipolar magnetic moments. Here, we show…

Strongly Correlated Electrons · Physics 2023-10-19 Charles R. W. Steward , Rafael M. Fernandes , Joerg Schmalian

Recently discovered, altermagnetism represents a third class of collinear magnets. These materials exhibit zero net magnetization, similar to antiferromagnets, but display anomalous transport properties resembling those of ferromagnets.…

We theoretically investigate the intrinsic anomalous Hall effect in two magnetically ordered systems: One is the ferromagnetic dipole system, and the other is the anisotropic magnetic dipole system, the latter of which has been proposed as…

Mesoscale and Nanoscale Physics · Physics 2024-12-12 Satoru Ohgata , Satoru Hayami

The in-plane anomalous Hall effect occurs when magnetization lies within the same plane as the electric field and Hall current, and requires magnetic point groups lacking rotational or mirror symmetries. While it is observed in both Weyl…

Materials Science · Physics 2026-01-12 Hiroto Saito , Takashi Koretsune