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Spin accumulation in a 2D electron gas with Rashba spin-orbit interaction subject to an electric field can take place without bulk spin currents (edge spin Hall effect). This is demonstrated for the collisional regime using the…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 E. B. Sonin

Hall conductivity for the intrinsic anomalous quantum Hall effect in homogeneous systems is given by the topological invariant composed of the Green function depending on momentum of quasiparticle. This expression reveals correspondence…

Mesoscale and Nanoscale Physics · Physics 2023-06-21 M. Selch , M. Suleymanov , C. X. Zhang , M. A. Zubkov

The intrinsic anomalous Hall effect in metallic ferromagnets is shown to be controlled by Berry phases accumulated by adiabatic motion of quasiparticles on the Fermi surface, and is purely a Fermi-liquid property, not a ``bulk'' Fermi sea…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 F. D. M. Haldane

We consider the quantum spin hall state in a three orbital model due to certain loop current order induced by spin-dependent interactions. This type of order is motivated by the loop current model which is proposed to describe the pseudogap…

Strongly Correlated Electrons · Physics 2015-06-15 Yan He , Changtao Hou

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

When sweeping the carrier concentration in monolayer graphene through the charge neutrality point, the experimentally measured Hall resistivity shows a smooth zero crossing. Using a two- component model of coexisting electrons and holes…

Inspired by recent experiments by Geim et al. we discuss the classical theory of the Hall effect of a 2 dimensional electron gas in an inhomogeneous magnetic field. The field modulation is in the form of flux tubes created by a…

Condensed Matter · Physics 2016-08-14 Kasper Juel Eriksen , Per Hedegård

Anomalous Hall effect and spin Hall effect originate due to spin-orbit coupling that in the Kohn-Luttinger ${\bf k}\cdot{\bf p}$ formalism is represented by anomalous terms in the coordinate and velocity operators. Relation of these…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Emmanuel I. Rashba

We consider the Anomalous Hall (AH) state induced by interactions in a three-orbital per unit-cell model. To be specific we consider a model appropriate for the Copper-Oxide lattice to highlight the necessary conditions for time-reversal…

Strongly Correlated Electrons · Physics 2015-06-03 Yan He , Joel Moore , C. M. Varma

We study Berry curvature driven and Zeeman magnetic field dependent electric current responses of two-dimensional electron system with spin-orbit coupling. New non-dissipative component of the electric current occurring in the applied…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Vladimir A. Zyuzin

We theoretically predict that the motion of a polar crystalline layer between two graphene planes exerts Coulomb drag on electrons in graphene, inducing a DC drag current. The physical mechanism underlying this drag arises from intervalley…

Mesoscale and Nanoscale Physics · Physics 2025-01-03 A. L. Chudnovskiy

The anomalous Hall effect (AHE) has been extended into the nonlinear regime, where the Hall voltage shows higher-order response to the applied current. Nevertheless, the microscopic mechanism of the nonlinear AHE remains unclear. Here we…

Mesoscale and Nanoscale Physics · Physics 2022-07-19 Xing-Guo Ye , Peng-Fei Zhu , Wen-Zheng Xu , Zhihao Zang , Yu Ye , Zhi-Min Liao

The effect due to doping by B, Si, N on the magneto-transport properties of graphene is investigated using the generalized tight-binding model in conjunction with the Kubo formula. The crucial electronic and transport properties are greatly…

Computational Physics · Physics 2019-07-23 Po-Hsin Shih , Thi-Nga Do , Godfrey Gumbs , Danhong Huang , Ming-Fa Lin

We report an efficient numerical approach to compute the different components of the orbital Hall responses in disordered topological materials from the Berry phase theory of magnetization. The theoretical framework is based on the…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Luis M. Canonico , Jose H. García , Stephan Roche

To elucidate the origin of spin structure-driven anomalous Hall effect (AHE) in pyrochlore compounds, we construct the $t_{2g}$-orbital kagome lattice model and analyze the anomalous Hall conductivity (AHC). We reveal that a conduction…

Strongly Correlated Electrons · Physics 2010-09-14 Takeshi Tomizawa , Hirhoshi Kontani

In metallic systems with spin-orbit coupling a longitudinal charge current may generate a transverse pure spin current; vice-versa an injected pure spin current may result in a transverse charge current. Such direct and inverse spin Hall…

Mesoscale and Nanoscale Physics · Physics 2022-12-23 Cosimo Gorini

We develop a theory of Berry phase effect in anomalous transport in ferromagnets driven by statistical forces such as the gradient of temperature or chemical potential. Here a charge Hall current arises from the Berry phase correction to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Di Xiao , Yugui Yao , Zhong Fang , Qian Niu

Hall effect is detected in organic field-effect transistors, using appropriately shaped rubrene (C42H28) single crystals. It turned out that inverse Hall coefficient, having a positive sign, is close to the amount of electric-field induced…

Materials Science · Physics 2009-11-11 J. Takeya , K. Tsukagoshi , Y. Aoyagi , T. Takenobu , Y. Iwasa

We point out a practical way to induce a finite charge Hall conductivity in graphene via an off-diagonal strain. Our conclusions are based on a general analysis and supported by numerical examples. The interplay between a substrate-induced…

Mesoscale and Nanoscale Physics · Physics 2011-11-30 Zhen-Gang Zhu , Jamal Berakdar

In high-quality solid-state systems at low temperatures, the hydrodynamic or the ballistic regimes of heat and charge transport are realized in the electron and the phonon systems. In these regimes, the thermal and the electric conductance…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 P. S. Alekseev , M. A. Semina
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