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By considering N_e-electrons and N_h-holes together in uniform external magnetic and electric fields, we end up with a total Hall conductivity \sigma_{H}^{tot}, which is depending to the difference between N_e and N_h and becomes null when…

High Energy Physics - Theory · Physics 2007-05-23 Ahmed Jellal

Transport in an ideal two-dimensional quantum spin Hall device is dominated by the counterpropagating edge states of electrons with opposite spins, giving the universal value of the conductance, $2e^2/h$. We study the effect on the…

Mesoscale and Nanoscale Physics · Physics 2011-06-14 Yoichi Tanaka , A. Furusaki , K. A. Matveev

We report a comprehensive study on the intrinsic spin Hall conductivity (SHC) of semimetals MoTe2 and WTe2 by ab initio calculation. Large SHC and desirable spin Hall angles have been discovered, due to the strong spin orbit coupling effect…

Materials Science · Physics 2019-03-06 Jiaqi Zhou , Junfeng Qiao , Arnaud Bournel , Weisheng Zhao

Theory predicts for the two-dimensional electrons gas with only Rashba spin-orbit interaction a vanishing spin Hall conductivity and at the same time a finite inverse spin Hall effect. We show how these seemingly contradictory results are…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 C. Gorini , R. Raimondi , P. Schwab

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

The spin Hall effect is investigated in a two-orbital tight-binding model on a honeycomb lattice. We show that the model exhibits three topologically-different insulating phases at half filling, which are distinguished by different…

Strongly Correlated Electrons · Physics 2015-04-15 Satoru Hayami , Hiroaki Kusunose , Yukitoshi Motome

The article shows a simple model that computes the magnetoconduction and the integer quantum Hall effect (IQHE) in a two-dimensional electron system (2DES) where the spin is other degree of freedom in the system. The 2DES is confined in a…

Mesoscale and Nanoscale Physics · Physics 2012-01-13 M. A. Hidalgo , R. Cangas

The spin-Hall conductivity of a disordered 2D electron gas has been calculated for an arbitrary spin-orbit interaction. We have found that in the diffusive regime of electron transport, in accordance with previous calculations, the dc…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. G. Mal'shukov , K. A. Chao

The spin Hall effect depends crucially on the intrinsic spin-orbit coupling of the energy band. Because of the smaller spin-orbit coupling in silicon, the spin Hall effect is expected to be much reduced. We show that the electric field in…

Other Condensed Matter · Physics 2009-11-11 B. Andrei Bernevig , Taylor L. Hughes , Shou-Cheng Zhang

We derive the spin continuity equation by using the Noether's theorem. A new type of spin-tensor Hall current is found in the continuity equation. The spin-tensor Hall current is originating from the coupling of the spin-tensor and the…

Mesoscale and Nanoscale Physics · Physics 2020-02-04 Yong-Ping Fu , Fei-Jie Huang , QI-Hui Chen

We consider intrinsic contributions to the spin Hall and spin Nernst effects in a bilayer graphene. The relevant electronic spectrum is obtained from the tight binding Hamiltonian, which also includes the intrinsic spin-orbit interaction.…

Mesoscale and Nanoscale Physics · Physics 2012-11-26 A. Dyrdal , J. Barnas

In recent years, there is an increasing interest in transport phenomena that are fundamentally linked to the presence of multiple bands. In this thesis, we develop, discuss, and apply a theory of the electrical conductivity that includes…

Strongly Correlated Electrons · Physics 2021-05-19 Johannes Mitscherling

We consider a two-dimensional electron system subjected to a short-ranged nonmagnetic disorder potential, Coulomb interactions, and Rashba spin-orbit coupling. The path-integral approach incorporated within the Keldysh formalism is used to…

Mesoscale and Nanoscale Physics · Physics 2022-12-07 Maxim Dzero , Alex Levchenko

The Hall effect, the anomalous Hall effect and the spin Hall effect are fundamental transport processes in solids arising from the Lorentz force and the spin-orbit coupling respectively. The quantum versions of the Hall effect and the spin…

Mesoscale and Nanoscale Physics · Physics 2010-07-13 Rui Yu , Wei Zhang , H. J. Zhang , S. C. Zhang , Xi Dai , Zhong Fang

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 consider the magnetic response of a two-dimensional electron gas (2DEG) with a spin-orbit interaction to a long-wave-length electromagnetic excitation. We observe that the transverse electric field creates spin polarization perpendicular…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Alexander Shnirman , Ivar Martin

We develop the microscopic theory of the extrinsic spin Hall conductivity of a two-dimensional electron gas, including skew-scattering, side-jump, and Coulomb interaction effects. We find that while the spin-Hall conductivity connected with…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 E. M. Hankiewicz , Giovanni Vignale

We show how the quantum Hall effect in an inverted-gap semiconductor (with electron- and hole-like states at the conduction- and valence-band edges interchanged) can be used to inject, precess, and detect the electron spin along a…

Mesoscale and Nanoscale Physics · Physics 2009-11-24 A. R. Akhmerov , C. W. Groth , J. Tworzydlo , C. W. J. Beenakker

We present the first findings of the spin transistor effect in the Rashba gate-controlled ring embedded in the p-type self-assembled silicon quantum well that is prepared on the n-type Si (100) surface. The coherence and phase sensitivity…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 N. T. Bagraev , N. G. Galkin , W. Gehlhoff , L. E. Klyachkin , A. M. Malyarenko , I. A. Shelykh

We propose an approach based on a generalized quantum mechanics to deal with the basic features of the intrinsic spin Hall effect. This can be done by considering two decoupled harmonic oscillators on the noncommutative plane and evaluating…

High Energy Physics - Theory · Physics 2011-04-28 Ahmed Jellal , Rachid Houca
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