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Graphene consists in a single-layer carbon crystal where 2$p_z$ electrons display a linear dispersion relation in the vicinity of the Fermi level, conveniently described by a massless Dirac equation in $2+1$ spacetime. Spin-orbit effects…

Mesoscale and Nanoscale Physics · Physics 2017-04-04 B. Berche , F. Mireles , E. Medina

Spin states and persistent currents are investigated theoretically in a mesoscopic ring with an embedded magnetic ion under a uniform magnetic field including the spin-orbit interactions. The magnetic impurity acts as a spin-dependent…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 J. S. Sheng , Kai Chang

The Rashba-Hubbard model on the square lattice is the paradigmatic case for studying the effect of spin-orbit coupling, which breaks spin and inversion symmetry, in a correlated electron system. We employ a truncated-unity variant of the…

A model with both Rashba and Dresselhaus spin orbit (SO) couplings and Hubbard electron-electron interaction is studied on planar strips at quarter filling at zero temperature in the clean limit. In the absence of Hubbard repulsion and at…

Strongly Correlated Electrons · Physics 2018-02-06 Jose A. Riera

Strong interest has arisen recently on low-dimensional systems with strong spin-orbit interaction due to their peculiar properties of interest for some spintronic applications. Here, the time evolution of the electron spin polarization of a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. Grimaldi

We put forward the concept of a bulk Rashba effect emerging in a multiferroic material, such as an antiferromagnetic system with a polar crystal structure. According to symmetry considerations, while time-reversal and space-inversion…

Strongly Correlated Electrons · Physics 2019-12-18 Kunihiko Yamauchi , Paolo Barone , Silvia Picozzi

When the inversion symmetry is broken at a surface, spin-orbit interaction gives rise to spin-dependent energy shifts - a phenomenon which is known as the spin Rashba effect. Recently, it has been recognized that an orbital counterpart of…

Mesoscale and Nanoscale Physics · Physics 2017-04-28 Dongwook Go , Jan-Philipp Hanke , Patrick M. Buhl , Frank Freimuth , Gustav Bihlmayer , Hyun-Woo Lee , Yuriy Mokrousov , Stefan Blügel

We calculate the dynamical structure factor S(q, {\omega}) of a weakly interacting helical edge state in the presence of a magnetic field B. The latter opens a gap of width 2B in the single-particle spectrum, which becomes strongly…

Strongly Correlated Electrons · Physics 2015-06-17 Suhas Gangadharaiah , Thomas L. Schmidt , Daniel Loss

It is well-known that macroscopically-normalizable zero-energy wavefunctions of spin-$\frac{1}{2}$ particles in a two-dimensional inhomogeneous magnetic field are spin-polarized and exactly calculable with degeneracy equaling the number of…

Mesoscale and Nanoscale Physics · Physics 2025-03-13 Vo Tien Phong , Eugene J. Mele

A system of bosons in a two-dimensional harmonic trap in the presence of Rashba-type spin-orbit coupling is investigated. An analytic treatment of the ground state of a single atom in the weak-coupling regime is presented and used as a…

Quantum Gases · Physics 2020-04-29 Pere Mujal , Artur Polls , Bruno Juliá-Díaz

We investigate the energetic ground states of a model two-phase system with 1/r^3 dipolar interactions in two dimensions. The model exhibits spontaneous formation of two kinds of periodic domain structure. A striped domain structure is…

Condensed Matter · Physics 2009-10-28 Kwok-On Ng , David Vanderbilt

The role of electron-electron interactions is analyzed for Rashba-like and spin-split systems within a tight-binding single-band Hubbard model with on-site and all nearest-neighbor matrix elements of the Coulomb interaction. By Rashba-like…

Strongly Correlated Electrons · Physics 2010-12-16 A. Alexandradinata , J. E. Hirsch

For a linear chain of diamond-like elements, we show that the Rashba spin-orbit interaction (which can be tuned by a perpendicular gate voltage) and the Aharonov-Bohm flux (due to a perpendicular magnetic field) can combine to select only…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Amnon Aharony , Ora Entin-Wohlman , Yasuhiro Tokura , Shingo Katsumoto

Rashba spin-orbit coupling and a magnetic field perpendicular to the Rashba axis have been predicted to open a partial gap ("helical gap") in the energy spectrum of noninteracting or weakly interacting one-dimensional quantum wires. By…

Mesoscale and Nanoscale Physics · Physics 2016-09-19 Thomas L. Schmidt , Christopher J. Pedder

Starting from a microscopic tight-binding model and using second order perturbation theory, we derive explicit expressions for the intrinsic and Rashba spin-orbit interaction induced gaps in the Dirac-like low-energy band structure of an…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Hongki Min , J. E. Hill , N. A. Sinitsyn , B. R. Sahu , Leonard Kleinman , A. H. MacDonald

Collective mode dynamics of the helical magnets coupled to electric polarization via spin-orbit interaction is studied theoretically. The soft modes associated with the ferroelectricity are not the transverse optical phonons, as expected…

Strongly Correlated Electrons · Physics 2007-05-23 Hosho Katsura , Alexander V. Balatsky , Naoto Nagaosa

We describe the simultaneous effects of the spin-orbit (SO) perturbation and a magnetic field $B$ on a disk shaped quantum dot (QD). {As it is known the} combination of electrostatic forces among the $N$ electrons confined in the QD and the…

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

We investigate the effects of Rashba spin-orbit interactions on the electronic band-structure and corresponding wave-functions of graphene. By exactly solving a tight-binding model Hamiltonian we obtain the expected splitting of the bands…

Mesoscale and Nanoscale Physics · Physics 2009-05-08 Mahdi Zarea , Nancy Sandler

An Anderson model for a magnetic impurity in a two-dimensional electron gas with bulk Rashba spin-orbit interaction is solved using the numerical renormalization group under two different experimental scenarios. For a fixed Fermi energy,…

Strongly Correlated Electrons · Physics 2016-03-02 Arturo Wong , Sergio E. Ulloa , Nancy Sandler , Kevin Ingersent

In this work we theoretically investigate transverse magnetic focussing in two dimensional electron and hole gasses with strong spin orbit interactions. We present a general result for spin orbit interaction with singular winding numbers in…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Samuel Bladwell , Oleg Sushkov