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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

We present a unified theory of charge carrier transport in 2D Dirac systems with broken mirror inversion and time-reversal symmetries (e.g., as realized in ferromagnetic graphene). We find that the entanglement between spin and pseudospin…

Mesoscale and Nanoscale Physics · Physics 2018-09-21 Manuel Offidani , Aires Ferreira

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

The spin Hall effect of a Dirac Hamiltonian system is studied using semiclassical analyses and the Kubo formula. In this system, the spin Hall conductivity is dependent on the definition of spin current. All components of the spin Hall…

Mesoscale and Nanoscale Physics · Physics 2022-09-02 Zhendong Chi , Guanxiong Qu , Yong-Chang Lau , Masashi Kawaguchi , Junji Fujimoto , Koki Takanashi , Masao Ogata , Masamitsu Hayashi

Electronic transport in the $\alpha-\mathcal{T}_3$ model of pseudospin-1 fermions with a finite gap is studied within the semiclassical Boltzmann approximation. We show that coupling of the orbital magnetic moment to the external magnetic…

Mesoscale and Nanoscale Physics · Physics 2023-07-12 Adesh Singh , G. Sharma

The anomalous Hall effect (AHE) is a consequence of spin-orbit coupling in a ferromagnetic metal and is related primarily to density-matrix response to an electric field that is off-diagonal in band index. For this reason disorder…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 N. A. Sinitsyn , A. H. MacDonald , T. Jungwirth , V. K. Dugaev , Jairo Sinova

The intricate interplay between magnetism and the topology of electronic structures provides a rich avenue for tailoring materials with unique and potent anomalous transport properties. In this paper, we present a strategy for inducing…

Materials Science · Physics 2024-12-04 Subhadip Pradhan , Kartik Samanta , Ashis K. Nandy

The anomalous Hall effect in disordered band ferromagnets is considered in the framework of quantum transport theory. A microscopic model of electrons in a random potential of identical impurities including spin-orbit coupling is used. The…

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

The anomalous spin Hall conductivity in the holographic model of Dirac semimetals with two Dirac nodes protected by the crystal symmetry has been elaborated. Such system besides the chiral anomaly possesses another anomaly which is related…

High Energy Physics - Theory · Physics 2021-10-19 Bartłomiej Kiczek , Marek Rogatko , Karol I. Wysokiński

The coupled kinetic equation for density and spin Wigner functions are derived including spin-orbit coupling, electric and magnetic field as well as selfconsistent Hartree meanfields suited for SU(2) transport. The interactions are assumed…

Strongly Correlated Electrons · Physics 2015-12-23 K. Morawetz

The spin-orbit coupling may generate spin transverse force on moving electron spin, which gives a heuristic picture for the quantum transverse transport of electron. A relation between the spin and anomalous Hall conductance and spin force…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Bin Zhou , Li Ren , Shun-Qing Shen

We investigate a longitudinal conductivity of a two-dimensional relativistic electron gas with a tilted Dirac cone in magnetic field. It is demonstrated that the conductivity behaves differently in the directions parallel and perpendicular…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Igor Proskurin , Masao Ogata , Yoshikazu Suzumura

We demonstrate that spin-orbit coupled electrons in a magnetically doped system exert a spin torque on the local magnetization, without a flowing current, when the chemical potential is modulated in a magnetic field. The spin torque is…

Mesoscale and Nanoscale Physics · Physics 2015-09-17 Kentaro Nomura , Daichi Kurebayashi

The anomalous Hall, Nernst and thermal Hall coefficients of Fe$_{3-x}$GeTe$_2$ display several features upon cooling, like a reversal in the Nernst signal below $T = 50$ K pointing to a topological transition (TT) associated to the…

Quantum anomalous Hall insulators are topologically characterized by non-zero integer Chern numbers, the sign of which depends on the direction of the exchange field that breaks time-reversal symmetry. This feature allows the manipulation…

Mesoscale and Nanoscale Physics · Physics 2024-09-06 Nezhat Pournaghavi , Carlo M. Canali

We show that an electric field applied to a strained topological Dirac semimetal, such as Na3Bi and Cd3As2, induces a spin Hall current that is quadratic in the electric field. By regarding the strain as an effective "axial magnetic field"…

Mesoscale and Nanoscale Physics · Physics 2019-05-13 Yasufumi Araki

Electron spin-momentum locking together with background magnetic textures can significantly alter the electron transport properties. We theoretically investigate the electron transport at the interface between a topological insulator and a…

Mesoscale and Nanoscale Physics · Physics 2017-10-13 Yasufumi Araki , Kentaro Nomura

We investigate spin transport in 2-dimensional insulators, with the long-term goal of establishing whether any of the transport coefficients corresponds to the Fu-Kane-Mele index which characterizes 2d time-reversal-symmetric topological…

Mathematical Physics · Physics 2019-09-09 Giovanna Marcelli , Gianluca Panati , Clément Tauber

We review the Kubo formulae relevant to study anomalous transport properties of relativistic fluids. We apply this formalism to perform a computation of the transport coefficients in a holographic massive gravity model including vorticity…

High Energy Physics - Theory · Physics 2017-04-26 Eugenio Megias

Chirality of massless fermions emergent in condensed matter is a key to understand their characteristic behavior as well as to exploit their functionality. However, chiral nature of massless fermions in Dirac semimetals has remained…

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