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A nonequilibrium Green's functions approach to spin-Hall effect is developed in a diffusive two-dimensional electron system with Rashba spin-orbit interaction. In the presence of long-range impurities, the coupled quantum kinetic equations…

Materials Science · Physics 2007-05-23 S. Y. Liu , X. L. Lei

A new mechanism of spin structure-driven anomalous Hall effect (AHE) in tilted ferromagnetic metals is proposed by taking account of the d-orbital degree of freedom. We find that a conduction electron acquires a Berry phase due to the…

Strongly Correlated Electrons · Physics 2009-09-14 Takeshi Tomizawa , Hiroshi Kontani

We study the anomalous Hall conductivity in spin-polarized, asymmetrically confined two-dimensional electron and hole systems, focusing on skew-scattering contributions to the transport. We find that the skew scattering, principally…

We present a theory of the anomalous Hall effect in ferromagnetic (Mn,III)V semiconductors. Our theory relates the anomalous Hall conductance of a homogeneous ferromagnet to the Berry phase acquired by a quasiparticle wavefunction upon…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 T. Jungwirth , Qian Niu , A. H. MacDonald

We consider the ground state of an electron gas embedded in a quantum gyrotropic cavity. We show that the light-matter interaction leads to a nontrivial topology of the many-body electron-photon wave function characterized by a nonzero…

Mesoscale and Nanoscale Physics · Physics 2021-09-01 Ilya Tokatly , Dmitry Gulevich , Ivan Iorsh

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 discuss the anomalous Hall effect in a two-dimensional electron gas subject to a spatially varying magnetization. This topological Hall effect (THE) does not require any spin-orbit coupling, and arises solely from Berry phase acquired by…

Materials Science · Physics 2009-11-10 P. Bruno , V. K. Dugaev , M. Taillefumier

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

We investigate topological features of electronic structures which produce large anomalous Hall effect in the non-collinear antiferromagnetic metallic states of anti-perovskite manganese nitrides by first-principles calculations. We first…

Materials Science · Physics 2019-09-25 Vu Thi Ngoc Huyen , Michi-To Suzuki , Kunihiko Yamauchi , Tamio Oguchi

We propose and formulate an interaction induced staggered spin-orbit order as a new emergent phase of two-dimensional Fermi gases. We show that when some form of inherent spin-splitting via Rashba-type spin-orbit coupling renders two…

Strongly Correlated Electrons · Physics 2013-01-30 Tanmoy Das

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

We theoretically study the intrinsic spin Hall effect in PT symmetric, spin-orbit coupled quantum gases confined in an optical lattice. The interplay of the PT symmetry and the spin-orbit coupling leads to a doubly degenerate…

Quantum Gases · Physics 2025-01-17 Hui Tang , Guan-Hua Huang , Shizhong Zhang , Zhongbo Yan , Zhigang Wu

We calculate the anomalous Hall conductivity $\sigma_{xy}$ of the surface states {in cubic topological Kondo insulators}. We consider a generic model for the surface states with three Dirac cones on the (001) surface. The Fermi velocity,…

Mesoscale and Nanoscale Physics · Physics 2016-07-20 E. J. König , P. M. Ostrovsky , M. Dzero , A. Levchenko

A unified theory of the anomalous Hall effect (AHE) is presented for multi-band ferromagnetic metallic systems with dilute impurities. In the clean limit, the AHE is mostly due to the extrinsic skew-scattering. When the Fermi level is…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Shigeki Onoda , Naoyuki Sugimoto , Naoto Nagaosa

While the intrinsic anomalous Hall conductivity is normally written in terms of an integral of the electronic Berry curvature over the occupied portions of the Brillouin zone, Haldane has recently pointed out that this quantity (or more…

Materials Science · Physics 2009-12-17 Xinjie Wang , David Vanderbilt , Jonathan R. Yates , Ivo Souza

We show that the anomalous Hall effect (AHE) at a magnetic interface with strong spin-orbit coupling can be tuned with an external electric field. By altering the strength of the inversion symmetry breaking, the electric field changes the…

Strongly Correlated Electrons · Physics 2018-12-24 Sayantika Bhowal , S. Satpathy

The spin-Hall conductivity in spatially-homogeneous two-dimensional electron systems described by the spin-orbit Hamiltonian \hbar \Omega_p \sigma is presented as a sum of the universal part Me/8 \pi \hbar determined by the Berry phase…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 O. E. Raichev

In a two dimensional electron gas with Rashba spin-orbit coupling, the external electric field may cause a spin Hall current in the direction perpendicular to the electric field. This effect was called the intrinsic spin Hall effect. In…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Xiaohua Ma , Liangbin Hu , Ruibao Tao , Shun-Qing Shen

The intrinsic anomalous Hall effect is one of the most exciting manifestations of the geometric properties of the electronic wave-function. Here, we predict that the electronic wave-function's geometric nature also gives rise to a purely…

Mesoscale and Nanoscale Physics · Physics 2021-04-07 Kamal Das , Amit Agarwal

The anomalous Hall effect, a hallmark of broken time-reversal symmetry and spin-orbit coupling, is frequently observed in magnetically polarized systems. Its realization in non-magnetic systems, however, remains elusive. Here, we report on…

Mesoscale and Nanoscale Physics · Physics 2022-12-29 Athby H. Al-Tawhid , Jesse Kanter , Mehdi Hatefipour , Douglas L. Irving , Divine P. Kumah , Javad Shabani , Kaveh Ahadi