# Electronic Charge and Spin Density Distribution in a Quantum Ring with Spin-Orbit and Coulomb Interactions

@article{Daday2011ElectronicCA, title={Electronic Charge and Spin Density Distribution in a Quantum Ring with Spin-Orbit and Coulomb Interactions}, author={Csaba Daday and Andrei Manolescu and Dan C. Marinescu and Vidar Gudmundsson}, journal={Physical Review B}, year={2011}, volume={84} }

Charge and spin density distributions are studied within a nano-ring structure endowed with Rashba and Dresselhaus spin orbit coupling (SOI). For a small number of interacting electrons, in the presence of an external magnetic field, the energy spectrum of the system is calculated through an exact numerical diagonalization procedure. The eigenstates thus determined are used to estimate the charge and spin densities around the ring. We find that when more than two electrons are considered, the…

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## References

SHOWING 1-10 OF 19 REFERENCES

### Exchange-induced enhancement of spin-orbit coupling in two-dimensional electronic systems

- Physics
- 1999

We study theoretically the renormalization of the spin-orbit coupling constant of two-dimensional electrons by electron-electron interactions. We demonstrate that, similarly to the $g$ factor, the…

### Spin states and persistent currents in mesoscopic rings : Spin-orbit interactions

- Physics
- 2006

We investigate theoretically electron spin states in one-dimensional and two-dimensional (2D) hard-wall mesoscopic rings in the presence of both the Rashba spin-orbit interaction (RSOI) and the…

### Tuning of the two electron states in quantum rings through the spin-orbit interaction

- Physics
- 2010

The effect of the Coulomb interaction on the energy spectrum and anisotropic distribution of two electron states in a quantum ring in the presence of Rashba spin-orbit interaction (RSOI) and…

### Magnetic field dependence of the many-electron states in a magnetic quantum dot: The ferromagnetic-antiferromagnetic transition

- Physics
- 2008

The electron-electron correlations in a many-electron $({N}_{e}=1,2,\dots{},5)$ quantum dot confined by a parabolic potential is investigated in the presence of a single magnetic ion and a…

### Persistent current in ballistic mesoscopic rings with Rashba spin-orbit coupling

- Physics
- 2003

The presence of spin-orbit coupling affects the spontaneously flowing persistent currents in mesoscopic conducting rings. Here we analyze their dependence on magnetic flux with emphasis on…

### Spin-orbit Coupling Effects in Two-Dimensional Electron and Hole Systems

- Physics
- 2003

Introduction.- Band Structure of Semiconductors.- The Extended Kane Model.- Electron and Hole States in Quasi 2D Systems.- Origin of Spin-Orbit Coupling Effects.- Inversion Asymmetry Induced Spin…

### Spin effects in a confined two-dimensional electron gas: Enhancement of the g factor, spin-inversion states, and their far-infrared absorption.

- PhysicsPhysical review. B, Condensed matter
- 1995

We investigate several spin-related phenomena in a confined two-dimensional electron gas (2DEG) using the Hartree-Fock approximation for the mutual Coulomb interaction of the electrons. The exchange…

### Comparison of a Hartree, a Hartree-Fock, and an exact treatment of quantum-dot helium.

- PhysicsPhysical review. B, Condensed matter
- 1993

The results for the singlet state differ significantly and it is shown that this is caused by a lack of correlation between the angular momenta of the electrons in the HF approximation.

### One-dimensional ring in the presence of Rashba spin-orbit interaction: Derivation of the correct Hamiltonian

- Physics
- 2002

We describe in detail the procedure for obtaining the correct one-dimensional Hamiltonian of electrons moving on a ring in the presence of Rashba spin-orbit interaction. The subtlety of this…

### Nonballistic spin-field-effect transistor.

- PhysicsPhysical review letters
- 2003

A spin-field-effect transistor based on spin-orbit coupling of both the Rashba and the Dresselhaus types is proposed, which is tolerant against spin-independent scattering processes and the requirement of strictly ballistic transport can be relaxed.