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The anomalous Hall effect is mainly used to probe the magnetization orientation in ferromagnetic materials. A less explored aspect is the torque acting back on magnetization, an effect that can be important at high currents. The spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 Ioan Tudosa

We propose a spin Hall device to induce a large spin Hall effect in a superconductor/normal metal (SN) junction. The side jump and skew scattering mechanisms are both taken into account to calculate the extrinsic spin Hall conductivity in…

Superconductivity · Physics 2015-08-06 S. Hikino , S. Yunoki

We report theoretical results for the electronic contribution to thermal and electrical transport for chiral superconductors belonging to even or odd-parity E$_1$ and E$_2$ representations of the tetragonal and hexagonal point groups.…

Superconductivity · Physics 2024-05-15 Vudtiwat Ngampruetikorn , J. A. Sauls

We identify an intrinsic mechanism of the anomalous Hall effect for non-symmorphic chiral superconductors. This mechanism relies on both a nontrivial multi-band chiral superconducting order parameter, which is a mixture of pairings of even…

Superconductivity · Physics 2017-11-22 Zhiqiang Wang , John Berlinsky , Gertrud Zwicknagl , Catherine Kallin

In this paper we propose two theoretical models of a metallic N\'{e}el ordered antiferromagnet with charge-density wave order which shows the anomalous Hall effect. In our models a combination of the N\'{e}el order and the charge-density…

Mesoscale and Nanoscale Physics · Physics 2024-11-26 Vladimir A. Zyuzin

Layered singlet paired superconductors with disorder and broken time reversal symmetry are studied. The phase diagram demonstrates charge-spin separation in transport. In terms of the average intergrain transmission and the interlayer…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 V. Kagalovsky , B. Horovitz , Y. Avishai

Unlike anomalous quantum Hall insulators, clean single-band chiral superconductors do not exhibit intrinsic Hall effect at the one-loop approximation. Finite ac Hall conductance was found to emerge beyond one-loop, such as with vertex…

Superconductivity · Physics 2020-12-17 Yu Li , Zhiqiang Wang , Wen Huang

We study the effect of disorder on the intrinsic anomalous Hall (AH) conductivity in a spin-polarized two-dimensional electron gas with a Rashba-type spin-orbit interaction. We find that AH conductivity vanishes unless the lifetime is…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Jun-ichiro Inoue , Takashi Kato , Yasuhito Ishikawa , Hiroyoshi Itoh , Gerrit E. W. Bauer , Laurens W. Molenkamp

We find the extrinsic anomalous Hall conductivity (AHC) to be comparable to the intrinsic one in roughly half of the altermagnetic spin Laue groups in the limit of large exchange splitting. In materials with a finite Dzyaloshinskii-Moriya…

Mesoscale and Nanoscale Physics · Physics 2025-11-06 A. Osin , A. Levchenko , M. Khodas

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

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

Despite being known for a long time the anomalous Hall effect still attracts attention because of its complex origins, its connection to topology and because it serves as a useful probe of the magnetic order. Here we study the anomalous…

Materials Science · Physics 2022-05-31 Jakub Železný , Yuta Yahagi , Carlés-Gomez Ollivella , Yang Zhang , Yan Sun

Spin-orbit torques enable energy-efficient manipulation of magnetization by electric current and hold promise for applications ranging from nonvolatile memory to neuromorphic computing. Here we report the discovery of a giant spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2024-01-11 Eric Arturo Montoya , Xinyao Pei , Ilya N. Krivorotov

Unconventional anomalous Hall effect was observed in antiferromagnetic state of EuZn$_2$Sb$_2$. Scaling of unconventional Hall conductivity with the longitudinal conductivity, and the magnitude of Hall angle indicate spin chirality despite…

Materials Science · Physics 2024-05-14 Karan Singh , Orest Pavlosiuk , Shovan Dan , Dariusz Kaczorowski , Piotr Wiśniewski

We carry out first-principles calculations which demonstrate the importance of the non-spin-conserving part of the spin-orbit interaction for the intrinsic anomalous Hall conductivity of ordered FePt alloys. The impact of this interaction…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Hongbin Zhang , Frank Freimuth , Stefan Blügel , Ivo Souza , Yuriy Mokrousov

The anomalous Hall effect in a magnetic two-dimensional electron gas with Rashba spin-orbit coupling is studied within the Kubo-Streda formalism in the presence of pointlike potential impurities. We find that all contributions to the…

Quantum anomalous Hall effect, with a trademark of dissipationless chiral edge states for electronics/spintronics transport applications, can be realized in materials with large spin-orbit coupling and strong intrinsic magnetization. After…

Mesoscale and Nanoscale Physics · Physics 2021-01-05 Muhammad Nadeem , Alex R. Hamilton , Michael S. Fuhrer , Xiaolin Wang

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

Chiral superconductors exhibit novel transport properties that depend on the topology of the order parameter, topology of the Fermi surface, the spectrum of bulk and edge Fermionic excitations, and the structure of the impurity potential.…

Superconductivity · Physics 2020-04-15 Vudtiwat Ngampruetikorn , J. A. Sauls

In this work we develop microscopic kinetic theory of the anomalous Hall and Nernst effects in superconductors induced by fluctuations in the vicinity of the critical transition temperature. The technical analysis is carried out within the…

Superconductivity · Physics 2020-06-02 Songci Li , Alex Levchenko