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Recent achievements in semiconductor spintronics are discussed. Special attention is paid to spin-orbit interaction, coupling of electron spins to external electric fields, and spin transport in media with spin-orbit coupling, including the…

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

We calculate the spin-Hall conductivity for a two-dimensional electron gas within the self-consistent Born approximation, varying the strength and type of disorder. In the weak disorder limit we find both analytically and numerically a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Roberto Raimondi , Peter Schwab

An interaction between ferromagnetic and superconducting orders, to be realized in a two dimensional ferromagnetic superconductor, is proposed obeying necessary symmetry principles. This interaction allows us to formulate a duality, similar…

Superconductivity · Physics 2026-04-17 Shantonu Mukherjee

We investigate the ballistic electron transport in a two dimensional Quantum Wire under the action of an electric field ($E_y$). We demonstrate how the presence of a Spin Orbit coupling, due to the uniform electric confinement field gives a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. Bellucci , P. Onorato

We consider infinitely long electromagnetic wave guide filled with a ferrite. The wave guide has arbitrary but constant cross-section $. We show that Maxwell equations are equivalent to the Schr\"odinger equation for single electron in the…

Other Condensed Matter · Physics 2007-05-23 Evgeny N. Bulgakov , Almas F. Sadreev

Spatial behavior of spin transport in a Sierpinski gasket fractal is studied from two dimensions to quasi-one dimension subject to the Rashba spin-orbital coupling. With two normal metal leads represented by self-energy matrix, discretizing…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Cheng-Yen Ho , Ching-Ray Chang

We show that a nanometric four-probe ballistic junction can be used to check the presence of a transverse spin Hall current in a system with a Spin Orbit coupling not of the Rashba type, but rather due to the in-plane electric field.…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. Bellucci , P. Onorato

We analyze the contribution of the inhomogeneous magnetic field induced by an electrical current to the spin Hall effect in metals. The Zeeman coupling between the field and the electron spin leads to a spin dependent force, and to spin…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 A. Hernando , F. Guinea , M. A. Garcia

We show that the spin-current response of a semiconductor crystal to an external electric field is considerably more complex than previously assumed. While in systems of high symmetry only the spin-Hall components are allowed, in systems of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Dimitrie Culcer , R. Winkler

We present a comprehensive quasiclassical approach for studying transport properties of superconducting diffusive hybrid structures in the presence of extrinsic spin-orbit coupling. We derive a generalized Usadel equation and boundary…

Superconductivity · Physics 2016-11-16 F. S. Bergeret , I. V. Tokatly

We argue that a pseudo-one-dimensional electron gas is magnetized when a voltage bias is applied with the Fermi level tuned to be in the energy gap generated by a spin-orbit interaction. The magnetization is an indication of spin-carrying…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Naomichi Hatano , Ryoen Shirasaki , Hiroaki Nakamura

In this review article we describe spin-dependent transport in materials with spin-orbit interaction of Rashba type. We mainly focus on semiconductor heterostructures, topological insulators, graphene and hybrid structures involving…

Mesoscale and Nanoscale Physics · Physics 2015-09-29 Dario Bercioux , Procolo Lucignano

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

We propose a generalized Dirac fermion description for the electronic state of graphene terminated by a zigzag edge. This description admits a spin-orbit coupling needed to preserve time-reversal invariance of the zigzag confinement,…

Mesoscale and Nanoscale Physics · Physics 2011-07-20 Grigory Tkachov , Martina Hentschel

A new type of anomalous Hall effect is shown to arise from the interaction of conduction electrons with dipolar spin waves in ferromagnets. This effect exists even in homogeneous ferromagnets without relativistic spin-orbit coupling. The…

Materials Science · Physics 2015-10-14 Kei Yamamoto , Koji Sato , Eiji Saitoh , Hiroshi Kohno

The Hall effect usually occurs when the Lorentz force acts on a charge current in a conductor in the presence of perpendicular magnetic field. On the other hand, neutral quasi-particles such as phonons and spins can carry heat current and…

Materials Science · Physics 2010-08-12 Y. Onose , T. Ideue , H. Katsura , Y. Shiomi , N. Nagaosa , Y. Tokura

The orbital-Hall effect (OHE), similarly to the spin-Hall effect (SHE), refers to the creation of a transverse flow of orbital angular momentum that is induced by a longitudinally applied electric field. For systems in which the spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2020-03-04 Luis M. Canonico , Tarik P. Cysne , Tatiana G. Rappoport , R. B. Muniz

We report on a topological Hall effect possibly induced by scalar spin chirality in a quasi-two- dimensional helimagnet Fe$_{1+x}$Sb. In the low-temperature region where the spins on interstitial- Fe (concentration $x=0.3$) intervening the…

Strongly Correlated Electrons · Physics 2015-05-30 Y. Shiomi , M. Mochizuki , Y. Kaneko , Y. Tokura

We calculate the intrinsic spin Hall conductivity \sigma^{\mathrm{sH}} of a two-dimensional electron system within a generalized Rashba model, showing that it is, in general, finite and model-dependent. Considering arbitrary band…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 P. L. Krotkov , S. Das Sarma

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