# Cyclotron motion and magnetic focusing in semiconductor quantum wells with spin-orbit coupling

@article{Schliemann2008CyclotronMA, title={Cyclotron motion and magnetic focusing in semiconductor quantum wells with spin-orbit coupling}, author={John Schliemann}, journal={Physical Review B}, year={2008}, volume={77}, pages={125303} }

We investigate the ballistic motion of electrons in III-V semiconductor quantum wells with Rashba spin-orbit coupling in a perpendicular magnetic field. Taking into account the full quantum dynamics of the problem, we explore the modifications of classical cyclotron orbits due to spin-orbit interaction. As a result, for electron energies comparable to the cyclotron energy, the dynamics is particularly rich and not adequately described by semiclassical approximations. Our study is complementary…

## 19 Citations

Imaging spin-resolved cyclotron trajectories in the InSb two-dimensional electron gas

- PhysicsPhysical Review B
- 2018

We consider spin-resolved cyclotron trajectories in a magnetic focusing device with quantum point source and drain contacts defined within the InSb two-dimensional electron gas and their mapping by…

Magnetic breakdown of cyclotron orbits in systems with Rashba and Dresselhaus spin-orbit coupling

- Physics
- 2008

We study the effect of the interplay between the Rashba and the Dresselhaus spin-orbit couplings on the transverse electron focusing in two-dimensional electron gases. Depending on their relative…

Enlarged magnetic focusing radius of photoinduced currents in mesoscopic circuits

- Physics
- 2012

We use GaAs-based quantum point contacts as mesoscopic detectors to analyze the flow of photogenerated electrons in a two-dimensional electron gas at a perpendicular magnetic field. Whereas charge…

A confined system with Rashba coupling in a constant magnetic field

- Physics, Mathematics
- 2012

We study a two dimensional system of electrons with Rashba coupling in a constant magnetic field, B, and its confining potential. We algebraically diagonalize the corresponding Hamiltonian to obtain…

Integer effects in the entanglement and spin fluctuations of a quantum Hall system with Rashba interactions

- Physics
- 2016

We report distinct nonanalytic signatures in the spin-orbit entanglement of a 2D electron gas with Rashba interactions at integer values of the filling factor and at certain level crossings. The…

On the influence of a Rashba-type coupling induced by Lorentz-violating effects on a Landau system for a neutral particle

- Physics
- 2014

We study a possible scenario of the Lorentz symmetry violation background that allows us to build an analogue of the Landau system for a nonrelativistic Dirac neutral particle interacting with a…

Cyclotron motion in graphene

- Physics
- 2008

We investigate cyclotron motion in graphene monolayers considering both the full quantum dynamics and its semiclassical limit reached at high carrier energies. Effects of zitterbewegung due to the…

The split-operator technique for the study of spinorial wavepacket dynamics

- Physics
- 2015

The split-operator technique for wave packet propagation in quantum systems is expanded here to the case of propagating wave functions describing Schr\"odinger particles, namely, charge carriers in…

Multisubband transport and magnetic deflection of Fermi electron trajectories in three terminal junctions and rings.

- Physics, MedicineJournal of physics. Condensed matter : an Institute of Physics journal
- 2012

Although the Aharonov-Bohm oscillations and the Lorentz force effects co-exist in the low subband transport, for higher Fermi energies a simultaneous observation of both effects is difficult and calls for carefully formed structures.

Revisiting Rashba and Dresselhaus spin–orbit interactions in electric and magnetic fields: Exact energy results and approximations

- Physics
- 2010

Abstract In this paper one deals with the derivation of approximations as well as of exact results concerning the energy of a planar electron subjected to both Rashba and Dresselhaus spin–orbit…

## References

SHOWING 1-10 OF 35 REFERENCES

Theory of Edge States in Systems with Rashba Spin-Orbit Coupling

- Physics
- 2004

We study the edge states in a two dimensional electron gas with a transverse magnetic field and Rashba spin-orbit coupling. In the bulk, the interplay between the external field perpendicular to the…

Ballistic side-jump motion of electrons and holes in semiconductor quantum wells

- Physics
- 2007

We investigate the ballistic motion of electrons and holes in III-V semiconductor quantum wells with spin-orbit coupling and a homogeneous in-plane electric field. As a result of a non-perturbative…

Spin separation in cyclotron motion.

- Physics, MedicinePhysical review letters
- 2004

Two point contacts, acting as a monochromatic source of ballistic holes and a narrow detector arranged in the magnetic focusing geometry are demonstrated to work as a tunable spin filter.

Transverse electron focusing in systems with spin-orbit coupling

- Physics
- 2004

We study the transverse electron focusing in a two-dimensional electron gas with Rashba spin-orbit coupling. We show that the interplay between the external magnetic field and the spin-orbit coupling…

Model for spin-orbit effects in two-dimensional semiconductors in magnetic fields

- Physics
- 2006

We analyse the interplay between Dresselhaus, Bychkov-Rashba, and Zeeman interactions in a two-dimensional semiconductor quantum system under the action of a magnetic field. When a vertical magnetic…

Spin-orbit interaction in symmetric wells with two subbands.

- Physics, MedicinePhysical review letters
- 2007

A new intersubband-induced SO term is derived which resembles the functional form of the Rashba SO but is nonzero even in symmetric structures, which gives rise to a nonzero ballistic spin-Hall conductivity and can induce an unusual Zitterbewegung with cycloidal trajectories without magnetic fields.

Variational study of the ν=1 quantum Hall ferromagnet in the presence of spin-orbit interaction

- Physics
- 2003

We investigate the nu=1 quantum Hall ferromagnet in the presence of spin-orbit coupling of the Rashba or Dresselhaus type by means of Hartree-Fock-typed variational states. In the presence of Rashba…

Detection of spin polarized currents in quantum point contacts via transverse electron focusing

- Physics
- 2007

It has been predicted recently that an electron beam can be polarized when it flows adiabatically through a quantum point contact in a system with spin-orbit interaction. Here, we show that a simple…

Spin transverse force on spin current in an electric field.

- Physics, MedicinePhysical review letters
- 2005

It is shown that the electron field exerts a transverse force on an electron spin 1/2 only if the electron is moving, and this spin-dependent force can be used to understand the Zitterbewegung of the electron wave packet with spin-orbit coupling.

Nonballistic spin-field-effect transistor.

- Physics, MedicinePhysical 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.