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

Abstract

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 heterostructure interface, the quantum dot size and orientation, and the spin-orbit fields. We illustrate the formalism by extracting this information from recent measured data [L.~C.~Camenzind, et al., arXiv:1804.00162; Nat. Commun. 9, 3454 (2018)].

14 pages, 9 figures; minor changes resulting from refereeing and proofs

References in corpus (8)

• Prospects for Spin-Based Quantum Computing
• Robust micro-magnet design for fast electrical manipulations of single spins in quantum dots
• Spin properties of single electron states in coupled quantum dots
• Hyperfine-phonon spin relaxation in a single-electron GaAs quantum dot
• Spin relaxation anisotropy in a GaAs quantum dot
• Spectroscopy of Quantum-Dot Orbitals with In-Plane Magnetic Fields
• G-factor of electrons in gate-defined quantum dots in a strong in-plane magnetic field
• Parallel Magnetic Field Tuning of Valley Splitting in AlAs Two-Dimensional Electrons

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