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The theory of anomalous Hall effect for the heat transfer in a paramagnetic dielectric, discovered experimentally in [1], is developed. The appearance of the phonon heat flux normal to both the temperature gradient and the magnetic field is…

Other Condensed Matter · Physics 2009-11-13 Yu. Kagan , L. A. Maksimov

Existing investigations of the anomalous Hall effect i.e. a current flowing transverse to the electric field in the absence of an external magnetic field) are concerned with the transport current. However, for many applications one needs to…

Mesoscale and Nanoscale Physics · Physics 2019-09-11 P. G. Silvestrov , P. Recher

The effect of carrier localization due to electron-electron interaction in anomalous Hall effect is elusive and there are contradictory results in the literature. To address the issue, we report here the detailed transport study including…

Strongly Correlated Electrons · Physics 2024-04-26 Prasanta Chowdhury , Mohamad Numan , Shuvankar Gupta , Souvik Chatterjee , Saurav Giri , Subham Majumdar

The spin Hall conductivity is usually calculated for periodic solids, while the knowledge of local contributions from inhomogeneous regions like interfaces or surfaces would be desirable. In this work we derive a local expression for the…

Mesoscale and Nanoscale Physics · Physics 2021-05-10 Tomáš Rauch , Franziska Töpler , Ingrid Mertig

We propose a mechanism of spin Hall effect in two-dimensional electron gas with spatially random Rashba spin-orbit interaction. The calculations based on the Kubo formalism and kinetic equation show that in contrast to the constant…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 V. K. Dugaev , M. Inglot , E. Ya. Sherman , J. Barnas

The drift-diffusion formalism for spin-polarized carrier transport in semiconductors is generalized to include spin-orbit coupling. The theory is applied to treat the extrinsic spin Hall effect using realistic boundary conditions. It is…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Wang-Kong Tse , J. Fabian , I. Zutic , S. Das Sarma

A model to treat the anomalous Hall effect is developed. Based on the Kubo formalism and on the Dirac equation, this model allows the simultaneous calculation of the skew-scattering and side-jump contributions to the anomalous Hall…

Condensed Matter · Physics 2009-11-07 A. Crépieux , P. Bruno

We study the spin transport of light in weakly inhomogeneous axion field in a flat Robertson-Walker universe and derive the spin Hall effect for circularly polarized rays. Regarding primordial quantum fluctuations of the axion field in the…

General Relativity and Quantum Cosmology · Physics 2020-11-30 Mansoureh Hoseini , Mohammad Mehrafarin

A nonlocal electric response in the spin-Hall regime, resulting from spin diffusion mediating charge conduction, is predicted. The spin-mediated transport stands out due to its long-range character, and can give dominant contribution to…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 D. A. Abanin , A. V. Shytov , L. S. Levitov , B. I. Halperin

In a magnetic metal, the Hall resistance is generally taken to be the sum of the ordinary Hall resistance and the anomalous Hall resistance. Here it is shown that this empirical relation is no longer valid when either the ordinary Hall…

Mesoscale and Nanoscale Physics · Physics 2023-02-21 Jiaji Zhao , Bingyan Jiang , Jinying Yang , Lujunyu Wang , Hengjie Shi , Guang Tian , Zhilin Li , Enke Liu , Xiaosong Wu

We study the coupled dynamics of spin and charge currents in a two-dimensional electron gas in the transport diffusive regime. For systems with inversion symmetry there are established relations between the spin Hall effect, the anomalous…

Mesoscale and Nanoscale Physics · Physics 2011-04-11 P. Schwab , R. Raimondi , C. Gorini

We report on theoretical investigations of carrier scattering asymmetry at ferromagnet-semiconductor junctions. By an analytical $2\times 2$ spin model, we show that, when Dresselhaus interactions is included in the conduction band of III-V…

Materials Science · Physics 2018-05-23 T. Huong Dang , D. Quang To , E. Erina , T. L. Hoai Nguyen , V. Safarov , H. Jaffres , H. -J. Drouhin

Orthorhombic CuMnAs has been proposed as an antiferromagnetic semimetal hosting nodal line and Dirac points around the Fermi level. We investigate relations between the topological bands and transport phenomena, i.e. spin Hall effect and…

Strongly Correlated Electrons · Physics 2021-07-14 Vu Thi Ngoc Huyen , Yuki Yanagi , Michi-To Suzuki

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

A key step towards dissipationless transport devices is the quantum anomalous Hall effect, which is characterized by an integer quantized Hall conductance in a ferromagnetic insulator with strong spin-orbit coupling. In this work, the…

Mesoscale and Nanoscale Physics · Physics 2013-08-29 Hai-Zhou Lu , Shun-Qing Shen

Conceptual framework behind the intrinsic spin Hall effect in three-dimensional conductors is discussed. Theory suggests how the spin Hall current should depend on symmetry and orientation of the crystal.

Mesoscale and Nanoscale Physics · Physics 2008-05-20 E. M. Chudnovsky

The phenomenon of mesoscopic Spin-Hall effect reveals in a nonequilibrium spin accumulation (driven by electric current) at the edges of a ballistic conductor or, more generally, in the regions with varying electron density. In this paper…

Mesoscale and Nanoscale Physics · Physics 2009-12-24 P. G. Silvestrov , E. G. Mishchenko

We propose a mechanism of intrinsic spin Hall effect (SHE). In this mechanism, local orbital angular momentum (OAM) induces electron position shift and couples with the bias electric field to generate orbital Hall effect (OHE). SHE then…

Mesoscale and Nanoscale Physics · Physics 2014-07-15 Wonsig Jung , Dongwook Go , Hyun-Woo Lee , Changyoung Kim

We investigate the algebraic structure of flat energy bands a partial filling of which may give rise to a fractional quantum anomalous Hall effect (or a fractional Chern insulator) and a fractional quantum spin Hall effect. Both effects…

Mesoscale and Nanoscale Physics · Physics 2012-01-19 M. O. Goerbig

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