Spin-orbit coupling in a Quantum Dot at high magnetic field

Abstract

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 Pauli principle can induce a spin polarization when $B$ (applied in the direction orthogonal to the QD) is above a threshold value. In the presence of an electric field parallel to $B$, coupled to the spin $S$ by a Rashba term, we demonstrate that a symmetry breaking takes place: we can observe it by analyzing the splitting of the levels belonging to an unperturbed multiplet. We also discuss the competitive effects of the magnetic field, the SO perturbation and the electron electron interaction, in order to define the hierarchy of the states belonging to a multiplet. We demonstrate how this hierarchy depends on the QD's size. We show the spin texture due to the combined effects of the Rashba effect and the interaction responsible for the polarization.

8 pages, 3 figures, PACS: 73.21.La,71.15.Mb,75.75.+a

References in corpus (14)

• Universal Intrinsic Spin-Hall Effect
• Spin-orbit coupling effects on quantum transport in lateral semiconductor dots
• Spin-Hall effect in a disordered 2D electron-system
• Quantum Dots in Strong Magnetic Fields: Stability Criteria for the Maximum Density Droplet
• Quantum dots with Rashba spin-orbit coupling
• The spin-orbit interaction as a source of new spectral and transport properties in quasi-one-dimensional systems
• Weak localization and conductance fluctuations in a quantum dot with parallel magnetic field and spin-orbit scattering
• Magnetoconductance of a two-dimensional metal in the presence of spin-orbit coupling
• Spin-orbit induced anisotropy in the magnetoconductance of two-dimensional metals
• Rashba effect in 2D mesoscopic systems with transverse magnetic field
• Magnetic Field Dependence of the Level Spacing of a Small Electron Droplet
• Single Wall Nanotubes: Atomic Like Behaviour and Microscopic Approach
• Spin Exciton in quantum dot with spin orbit coupling in high magnetic field
• Rashba-control for the spin excitation of a fully spin polarized vertical quantum dot

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• Quenching of Spin Hall Effect in Ballistic nano-junctions
• Spin-orbit effects on two-electron states in nanowhisker double quantum dots
• Spin separation in a T ballistic nanojunction due to lateral-confinement-induced spin-orbit-coupling