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We review recent theoretical developments about the role of spins, electron-electron interactions, and spin-orbit coupling in metal nanoparticles and semiconductor quantum dots. For a closed system, in the absence of spin-orbit coupling or…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuval Oreg , P. W. Brouwer , X. Waintal , Bertrand I. Halperin

The Rashba Hamiltonian describes the splitting of the conduction band as a result of spin-orbit coupling in the presence of an asymmetric confinement potential and is commonly used to model the electronic structure of confined narrow-gap…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Jun-ichiro Inoue , Gerrit E. W. Bauer , Laurens W. Molenkamp

Electron elastic scattering off a spin-polarized Cr(...$3d^{5}4s^{1}$, $^{7}S$) atom is theoretically studied in the region of electron energies up to $15$ eV using both a one-electron "spin-polarized" Hartree-Fock and multielectron…

Atomic Physics · Physics 2015-06-22 V. K. Dolmatov , M. Ya. Amusia , L. V. Chernysheva

Rashba spin-orbit coupling emerges in materials lacking of structural inversion symmetry, such as heterostructures, quantum wells, surface alloys and polar materials, just to mention few examples. It yields a coupling between the spin and…

Mesoscale and Nanoscale Physics · Physics 2017-08-31 Valentina Brosco , Claudio Grimaldi , Emmanuele Cappelluti , Lara Benfatto

Exact wave functions and energy levels are obtained for an electron in a two-dimensional semiconductor circular quantum ring with a confining potential of finite depth in the presence of both an external magnetic field and the Rashba…

Mathematical Physics · Physics 2012-12-07 V. V. Kudryashov , A. V. Baran

A theoretical study is presented of the effect of an in-plane magnetic exchange field on the band structure of centrosymmetric films of noble metals and topological insulators. Based on an ab initio relativistic $\mathbf{k}\cdot\mathbf{p}$…

Materials Science · Physics 2022-01-14 I. A. Nechaev , E. E. Krasovskii

We present a formalism to study quantum networks made up by single-channel quantum wires in the presence of Rashba spin-orbit coupling and magnetic field. In particular, linear transport through one-dimensional and two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Dario Bercioux , Michele Governale , Vittorio Cataudella , Vincenzo Marigliano Ramaglia

We show that the joint effect of spin-orbit and magnetic fields leads to a spin polarization perpendicular to the plane of a two-dimensional electron system with Rashba spin-orbit coupling and in-plane parallel dc magnetic and electric…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hans-Andreas Engel , Emmanuel I. Rashba , Bertrand I. Halperin

We propose quantum devices having spin-orbit coupling (but no magnetic fields or magnetic materials) that, when attached to leads, yield a high degree of transmitted electron polarization. An example of such a simple device is treated…

Mesoscale and Nanoscale Physics · Physics 2017-03-29 Y. Avishai , Y. B. Band

Similar to the Landauer electric dipole created around an impurity by the electric current, a spin polarized cloud of electrons can be induced by the intrinsic spin-Hall effect near a spin independent elastic scatterer. It is shown that in…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. G. Mal'shukov , C. S. Chu

We study the local equilibrium properties of two-dimensional electron gases at high magnetic fields in the presence of random smooth electrostatic disorder, Rashba spin-orbit coupling, and the Zeeman interaction. Using a systematic magnetic…

Mesoscale and Nanoscale Physics · Physics 2014-04-29 Daniel Hernangomez-Perez , Serge Florens , Thierry Champel

We study the effects of the Rashba spin-orbit coupling on the polaron formation, using a suitable generalization of the Momentum Average approximation. Contrary to previous investigations of this problem, we find that the spin-orbit…

Strongly Correlated Electrons · Physics 2015-05-13 Lucian Covaci , Mona Berciu

In a two-dimensional electron gas as realized by a semiconductor quantum well, the presence of spin-orbit coupling of both the Rashba and Dresselhaus type leads to anisotropic dispersion relations and Fermi contours. We study the effect of…

Condensed Matter · Physics 2009-11-10 John Schliemann , Daniel Loss

Based on spin-charge coupled drift-diffusion equations, which are derived from kinetic equations for the spin-density matrix in a rigorous manner, the electric-field-induced nonequilibrium spin polarization is treated for a two-dimensional…

Other Condensed Matter · Physics 2009-11-13 P. Kleinert , V. V. Bryksin

We present a theoretical study of the interplay between cyclotron motion and spin splitting of charge carriers in solids. While many of our results apply more generally, we focus especially on discussing the Rashba model describing…

Mesoscale and Nanoscale Physics · Physics 2007-09-30 U. Zuelicke , J. Bolte , R. Winkler

The spin degree of freedom is crucial for both understanding and exploiting the particular properties of the edges of two-dimensional topological insulators. In the absence of superconductivity and magnetism, Rashba coupling is the most…

Mesoscale and Nanoscale Physics · Physics 2020-11-18 Lorenzo Privitera , Niccolò Traverso Ziani , Inès Safi , Björn Trauzettel

We present a method to create spin-polarized beams of ballistic electrons in a two-dimensional electron system in the presence of spin-orbit interaction. Scattering of a spin-unpolarized injected beam from a lithographic barrier leads to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hong Chen , J. J. Heremans , J. A. Peters , J. P. Dulka , A. O. Govorov , N. Goel , S. J. Chung , M. B. Santos

The electronic states of a mesoscopic ring are assessed in the presence of Rashba Spin Orbit coupling and a $U(1)$ gauge field. Spin symmetric coupling to an ideal lead is implemented following B\"uttiker's voltage probe. The exact density…

Mesoscale and Nanoscale Physics · Physics 2014-09-23 Michael Ellner , Nelson Bolívar , Bertrand Berche , Ernesto Medina

To leading order in displacement size, the scattering of electrons in a Cu-O plane from O displacements perpendicular to that plane is due to spin-orbit coupling. This scattering is investigated with the following results: (1) As a…

Condensed Matter · Physics 2020-02-03 N. E. Bonesteel

Using a three-dimensional spin polarimeter we have gathered evidence for the interference of spin states in photoemission from the surface alloy Sb/Ag(111). This system features a small Rashba-type spin-splitting of a size comparable to the…

Other Condensed Matter · Physics 2010-01-28 Fabian Meier , Vladimir Petrov , Hossein Mirhosseini , Luc Patthey , Juergen Henk , Juerg Osterwalder , J. Hugo Dil