# Mesoscopic spin Hall effect.

@article{Bardarson2006MesoscopicSH, title={Mesoscopic spin Hall effect.}, author={Jens H. Bardarson and Inanç Adagideli and Philippe Jacquod}, journal={Physical review letters}, year={2006}, volume={98 19}, pages={ 196601 } }

We investigate the spin Hall effect in ballistic chaotic quantum dots with spin-orbit coupling. We show that a longitudinal charge current can generate a pure transverse spin current. While this transverse spin current is generically nonzero for a fixed sample, we show that when the spin-orbit coupling time is short compared to the mean dwell time inside the dot, it fluctuates universally from sample to sample or upon variation of the chemical potential with a vanishing average.

## 32 Citations

### Mesoscopic fluctuations of spin currents

- Physics
- 2007

Spin currents may be generated by applying bias voltages V to the nanostructures even in the absence of spin-active ferromagnetic interfaces. Most theoretical proposals concentrate on a concrete…

### Fluctuations of spin transport through chaotic quantum dots with spin-orbit coupling

- Physics
- 2009

As devices to control spin currents using the spin-orbit interaction are proposed and implemented, it is important to understand the fluctuations that spin-orbit coupling can impose on transmission…

### Spin Hall angle fluctuations in a device with disorder

- Physics
- 2020

We investigate a disorderly mesoscopic device that supports spin-orbit interaction. The systemis connected to four semi-infinite leads embedded in the Landauer-Buttiker setup for quantumtransport…

### Spin and charge shot noise in mesoscopic spin Hall systems

- Physics
- 2008

Injection of unpolarized charge current through the longitudinal leads of a four-terminal two-dimensional electron gas with the Rashba spin-orbit (SO) coupling and SO scattering off extrinsic…

### Spin Polarized Current Generation from Quantum Dots without Magnetic Fields

- Physics
- 2008

An unpolarized charge current passing through a chaotic quantum dot with spin-orbit coupling can produce a spin-polarized exit current without magnetic fields or ferromagnets. We use random matrix…

### Electrical probing of the spin conductance of mesoscopic cavities

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2009

Random matrix theory is used to show that the spin conductance of chaotic ballistic cavities fluctuates universally about zero mesoscopic average and describe experimental implementations of mesoscopic spin to charge current converters.

### Zeeman ratchets: pure spin current generation in mesoscopic conductors with non-uniform magnetic fields

- Physics
- 2007

We consider the possibility to employ a quantum wire realized in a two-dimensional electron gas (2DEG) as a spin ratchet. We show that a net spin current without accompanying net charge transport can…

### Quantum Dot Spin Filter in Resonant Tunneling and Kondo Regimes

- Physics
- 2010

A quantum dot with spin–orbit interaction can work as an efficient spin filter if it is connected to N (≥3) external leads via tunnel barriers. When an unpolarized current is injected to a quantum…