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Related papers: Spin Hall effect associated with SU(2) gauge field

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For the spin Hall effect arising from strong band-structure spin-orbit coupling, a semiclassical Boltzmann theory reasonably addressing the intriguing disorder effect called side-jump is still absent. In this paper we describe such a theory…

Mesoscale and Nanoscale Physics · Physics 2017-09-27 Cong Xiao

Starting from the Kubo formula, we expand the Hall conductivity using a cumulant approach which converges quickly at high temperatures (k_BT > energy differences of initial and final scattering states) and can be extended to low…

Other Condensed Matter · Physics 2013-10-18 Louis-François Arsenault , B. Movaghar

The anomalous Hall effect due to the spin chirality order and fluctuation is studied theoretically in a Kondo lattice model without the relativistic spin-orbit interaction. Even without the correlations of the localized spins, $\sigma_{xy}$…

Strongly Correlated Electrons · Physics 2009-11-07 Shigeki Onoda , Naoto Nagaosa

Spin-orbit coupling in semiconductors relates the spin of an electron to its momentum and provides a pathway for electrically initializing and manipulating electron spins for applications in spintronics and spin-based quantum information…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 V. Sih , R. C. Myers , Y. K. Kato , W. H. Lau , A. C. Gossard , D. D. Awschalom

We describe formally the precession of spin vector about the k-space effective magnetic field in condensed matter system with spin orbital effects as constituting a local transformation of the electron wavefunction which necessarily invokes…

Quantum Physics · Physics 2013-04-04 S. G. Tan , M. B. A. Jalil , X. -J. Liu , T. Fujita

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 investigate torque and also conventionally defined spin-Hall currents in two-dimensional (2D) spin-orbit coupled systems of spin-1/2 particles within the linear response Kubo formalism. We obtain some interesting relations between the…

Mesoscale and Nanoscale Physics · Physics 2009-03-09 Tsung-Wei Chen , Guang-Yu Guo

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

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

The quantum Hall liquid is a novel state of matter with profound emergent properties such as fractional charge and statistics. Existence of the quantum Hall effect requires breaking of the time reversal symmetry caused by an external…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. Andrei Bernevig , Shou-Cheng Zhang

We consider the effect of contact interaction in a prototypical quantum spin Hall system of pseudo-spin-1/2 particles. A strong effective magnetic field with opposite directions for the two spin states restricts two-dimensional particle…

Quantum Gases · Physics 2014-02-18 O. Fialko , J. Brand , U. Zuelicke

Physical properties such as the conductivity are usually classified according to the symmetry of the underlying system using Neumann's principle, which gives an upper bound for the number of independent components of the corresponding…

Mesoscale and Nanoscale Physics · Physics 2023-11-14 Longjun Xiang , Fuming Xu , Luyang Wang , Jian Wang

We provide a theoretical framework for the electric field control of the electron spin in systems with diffusive electron motion. The approach is valid in the experimentally important case where both intrinsic and extrinsic spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2009-09-10 R. Raimondi , P. Schwab

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

The anomalous Hall effect, observed in conducting ferromagnets with broken time-reversal symmetry, offers the possibility to couple spin and orbital degrees of freedom of electrons in ferromagnets. In addition to charge, the anomalous Hall…

Materials Science · Physics 2018-07-04 Yumeng Yang , Ziyan Luo , Haijun Wu , Yanjun Xu , Run-Wei Li , Stephen J. Pennycook , Shufeng Zhang , Yihong Wu

We calculate the anomalous Hall conductance of superconductors with spin-orbit interaction and with either uniform or local magnetization. In the first case we consider a uniform ferromagnetic ordering in a spin triplet superconductor,…

Superconductivity · Physics 2015-06-03 P. D. Sacramento , M. A. N. Araujo , V. R. Vieira , V. K. Dugaev , J. Barnas

We consider the origin of the anomalous Hall effect in a general model of a clean two-band chiral superconductor. Within the Kubo formalism we derive an analytic expression for the high-frequency ac Hall conductivity valid close to the…

Superconductivity · Physics 2021-03-10 M. D. E. Denys , P. M. R. Brydon

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

Direct and inverse spin Hall effects lie at the heart of novel applications that utilize spins of electrons as information carriers, allowing generation of spin currents and detecting them via the electric voltage. In the standard…

Materials Science · Physics 2023-01-03 Arunesh Roy , Marcos H. D. Guimarães , Jagoda Sławińska

A fully relativistic description of the spin-orbit induced spin Hall effect is presented that is based on Kubo's linear response formalism. Using an appropriate operator for the spin current density a Kubo-St\v{r}eda-like equation for the…

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