# Orbital effects of a strong in-plane magnetic field on a gate-defined quantum dot

@article{Stano2019OrbitalEO, title={Orbital effects of a strong in-plane magnetic field on a gate-defined quantum dot}, author={Peter Stano and Chen-Hsuan Hsu and Leon C. Camenzind and Liuqi Yu and Dominik M. Zumbuhl and Daniel Loss}, journal={Physical Review B}, year={2019} }

We theoretically investigate the orbital effects of an in-plane magnetic field on the spectrum of a quantum dot embedded in a two-dimensional electron gas (2DEG). We derive an effective two-dimensional Hamiltonian where these effects enter in proportion to the flux penetrating the 2DEG. We quantify the latter in detail for harmonic, triangular, and square potential of the heterostructure. We show how the orbital effects allow one to extract a wealth of information, for example, on the…

## Figures and Tables from this paper

## 9 Citations

Spectroscopy of Quantum Dot Orbitals with In-Plane Magnetic Fields.

- Physics, MedicinePhysical review letters
- 2019

In-plane magnetic-field-assisted spectroscopy allows extraction of the in-plane orientation and full 3D size parameters of the quantum mechanical orbitals of a single electron GaAs lateral quantum dot with subnanometer precision, demonstrating a versatile tool for quantum dots with one dominant axis of strong confinement.

3D Map of a Quantum Dot’s Potential

- PhysicsPhysics
- 2019

A n electron bound to a quantum dot is a conceptually simple implementation of a quantum bit (qubit), with the electron’s spin providing the qubit’s two levels, which encode information [1, 2]. To…

Spin vortices and skyrmions of a single electron in inhomogeneous magnetic fields

- Physics
- 2019

We show that an inhomogeneous magnetic field can turn the spin texture of a two-dimensional single electron into a spin vortex. An analytical relation between the phases of the asymptotic…

Energy corrections due to the noncommutative phase-space of the charged isotropic harmonic oscillator in a uniform magnetic field in 3D

- PhysicsPhysica Scripta
- 2021

In this study, we investigate the effects of noncommutative Quantum Mechanics in three dimensions on the energy-levels of a charged isotropic harmonic oscillator in the presence of a uniform magnetic…

Optimal operation points for ultrafast, highly coherent Ge hole spin-orbit qubits

- 2021

Strong spin-orbit interactions make hole quantum dots central to the quest for electrical spin qubit manipulation enabling fast, low-power, scalable quantum computation. Yet it is important to…

A two-dimensional array of single-hole quantum dots

- Physics
- 2020

Quantum dots fabricated using techniques and materials that are compatible with semiconductor manufacturing are promising for quantum information processing. While great progress has been made toward…

Machine learning enables completely automatic tuning of a quantum device faster than human experts

- Physics, Computer ScienceNature Communications
- 2020

A machine learning algorithm is reported to navigate the entire parameter space of gate-defined quantum dot devices, showing about 180 times faster than a pure random search.

The germanium quantum information route

- PhysicsNature Reviews Materials
- 2020

In the effort to develop disruptive quantum technologies, germanium is emerging as a versatile material to realize devices capable of encoding, processing and transmitting quantum information. These…

## References

SHOWING 1-10 OF 56 REFERENCES

Orbital effect of an in-plane magnetic field on quantum transport in chaotic lateral dots

- Physics
- 2002

We show that an in-plane magnetic field is able to break time-reversal symmetry of the orbital motion of electrons in two-dimensional semiconductor structures, due to the momentum-dependent…

Optimal geometry of lateral GaAs and Si/SiGe quantum dots for electrical control of spin qubits

- Physics
- 2016

We investigate the effects of the orientation of the magnetic field and the orientation of a quantum dot, with respect to crystallographic coordinates, on the quality of an electrically controlled…

Spin-relaxation anisotropy in a GaAs quantum dot.

- Physics, MedicinePhysical review letters
- 2014

It is found that the extrema in the T_{1} do not occur when the magnetic field is along the [110] and [11[over ¯]0] crystallographic directions, and this deviation is attributed to an elliptical dot confining potential.

In-plane magnetic-field-induced anisotropy of 2D Fermi contours and the field-dependent cyclotron mass

- Physics
- 1994

The electronic structure of a 2D gas subjected to a tilted magnetic field, with a strong component parallel to the GaAs/AlGaAs interface and a weak component oriented perpendicularly, is studied…

g
-factor of electrons in gate-defined quantum dots in a strong in-plane magnetic field

- PhysicsPhysical Review B
- 2018

We analyze orbital effects of an in-plane magnetic field on the spin structure of states of a gated quantum dot based in a two-dimensional electron gas. Starting with a…

Cyclotron effective mass of a two-dimensional electron layer at the GaAs/AlxGa1-xAs heterojunction subject to in-plane magnetic fields.

- Physics, MedicinePhysical review. B, Condensed matter
- 1995

We have found that Fermi contours of a two-dimensional electron gas at $\rmGaAs/Al_xGa_{1-x}As$ interface deviate from a standard circular shape under the combined influence of an approximately…

In-Plane Magnetic Field Induced Anisotropy of 2D Fermi Contours and the Field Dependent Cyclotron Mass

- Physics
- 1993

The electronic structure of a 2D gas subjected to a tilted magnetic field, with a strong component parallel to the GaAs/AlGaAs interface and a weak component oriented perpendicularly, is studied…

Electrical control of spin coherence in semiconductor nanostructures

- Chemistry, MedicineNature
- 2001

The processing of quantum information based on the electron spin degree of freedom requires fast and coherent manipulation of local spins. One approach is to provide spatially selective tuning of the…

Parallel magnetic-field tuning of valley splitting in AlAs two-dimensional electrons

- Physics
- 2008

We demonstrate that, in a quasi-two-dimensional electron system confined to an AlAs quantum well and occupying two conduction-band minima (valleys), a parallel magnetic field can couple to the…

Quantum capacitance devices

- Physics
- 1988

Two‐dimensional electron gas (2DEG) in a quantum well or inversion layer, unlike an ordinary grounded metallic plane, does not completely screen an applied transverse electric field. Owing to its…