Hyperfine-mediated transitions between a Zeeman split doublet in GaAs quantum dots: The role of the internal field

Abstract

We consider the hyperfine-mediated transition rate between Zeeman split spin states of the lowest orbital level in a GaAs quantum dot. We separate the hyperfine Hamiltonian into a part which is diagonal in the orbital states and another one which mixes different orbitals. The diagonal part gives rise to an effective (internal) magnetic field which, in addition to an external magnetic field, determines the Zeeman splitting. Spin-flip transitions in the dots are induced by the orbital mixing part accompanied by an emission of a phonon. We evaluate the rate for different regimes of applied magnetic field and temperature. The rates we find are bigger that the spin-orbit related rates provided the external magnetic field is sufficiently low.

8 pages, 3 figures

References in corpus (3)

• Electron spin relaxation by nuclei in semiconductor quantum dots
• Electron spin decoherence in quantum dots due to interaction with nuclei
• Nucleus-mediated spin-flip transitions in GaAs quantum dots

Cited by in corpus (104)

• Spins in few-electron quantum dots
• Single-shot read-out of an individual electron spin in a quantum dot
• Coherent control of a single electron spin with electric fields
• Semiconductor Spintronics
• Semiconductor Spin Qubits
• Spin dynamics in semiconductors
• Phonon-induced decay of the electron spin in quantum dots
• Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
• Prospects for Spin-Based Quantum Computing
• Zeeman energy and spin relaxation in a one-electron quantum dot
• Relaxation, dephasing, and quantum control of electron spins in double quantum dots
• Spin relaxation and decoherence of holes in quantum dots
• Electrical control of spin relaxation in a quantum dot
• Theory of Transport through Quantum-Dot Spin Valves in the Weak-Coupling Regime
• Electron spin dynamics in quantum dots and related nanostructures due to hyperfine interaction with nuclei
• Hyperfine-mediated gate-driven electron spin resonance
• Recipes for spin-based quantum computing
• Nuclear spin state narrowing via gate--controlled Rabi oscillations in a double quantum dot
• Pure quantum dephasing of a solid state electron spin qubit in a large nuclear spin bath coupled by long-range hyperfine-mediated interactions
• Locking electron spins into magnetic resonance by electron-nuclear feedback
• Spin relaxation and anticrossing in quantum dots: Rashba versus Dresselhaus spin-orbit coupling
• Suppression of spin relaxation in an InAs nanowire double quantum dot
• Coherent shuttle of electron-spin states
• Spin decay and quantum parallelism
• Electron Transport in Double Quantum Dot governed by Nuclear Magnetic Field
• Positive cross-correlations due to Dynamical Channel-Blockade in a three-terminal quantum dot
• Disentangling the effects of spin-orbit and hyperfine interactions on spin blockade
• Electrically-protected resonant exchange qubits in triple quantum dots
• Single Electron Spin Decoherence by Nuclear Spin Bath: Linked Cluster Expansion Approach
• Theory of electric dipole spin resonance in quantum dots: Mean field theory with Gaussian fluctuations and beyond
• Semiclassical dynamics and long time asymptotics of the central-spin problem in a quantum dot
• Evolution of a localized electron spin in a nuclear spin environment
• Spin relaxation at the singlet-triplet crossing in a quantum dot
• Spin relaxation in a Si quantum dot due to spin-valley mixing
• Cavity QED with hybrid nanocircuits: from atomic-like physics to condensed matter phenomena
• Orbital and spin relaxation in single and coupled quantum dots
• Excited state spectroscopy in carbon nanotube double quantum dots
• Hyperfine-phonon spin relaxation in a single-electron GaAs quantum dot
• Self-Polarization and Dynamical Cooling of Nuclear Spins in Double Quantum Dots
• Quantum Description of Nuclear Spin Cooling in a Quantum Dot
• Spin Relaxation due to Charge Noise
• Controlling Spin Qubits in Quantum Dots
• Spin Decay in a Quantum Dot Coupled to a Quantum Point Contact
• Electrically-Driven Reverse Overhauser Pumping of Nuclear Spins in Quantum Dots
• An improved semiclassical theory of radical pair recombination reactions
• Simultaneous Spin-Charge Relaxation in Double Quantum Dots
• Nuclear Tuning and Detuning of the Electron Spin Resonance in a Quantum Dot
• Detecting entanglement using a double quantum dot turnstile
• Normal and anomalous solitons in the theory of dynamical Cooper pairing
• Qubit relaxation from evanescent-wave Johnson noise
• Semi-classical model for the dephasing of a two-electron spin qubit coupled to a coherently evolving nuclear spin bath
• Probing the exchange field of a quantum-dot spin valve by a superconducting lead
• Hyperfine interactions in two-dimensional HgTe topological insulators
• Theoretical study of nuclear spin polarization and depolarization in self-assembled quantum dots
• Measurement, control, and decay of quantum-dot spins
• Quantum Computing with Acceptor Spins in Silicon
• From quantum-mechanical to classical dynamics in the central-spin model
• Two-spin dephasing by electron-phonon interaction in semiconductor double quantum dots
• Quantum versus classical hyperfine-induced dynamics in a quantum dot
• Elastic Spin Relaxation Processes in Semiconductor Quantum Dots
• Temperature induced spin coherence dissipation in quantum dots
• Dynamic polarization of electron spins interacting with nuclei in semiconductor nanostructures
• The exchange-only singlet-only spin qubit
• Phonon-induced dephasing of singlet-triplet superpositions in double quantum dots without spin-orbit coupling
• Cotunneling current through quantum dots with phonon-assisted spin-flip processes
• Effect of electron-electron interaction on the phonon-mediated spin relaxation in quantum dots
• Electron-nuclei spin relaxation through phonon-assisted hyperfine interaction in a quantum dot
• Effect of electron-nuclear spin interactions on electron-spin qubits localized in self-assembled quantum dots
• Current-Induced Entanglement of Nuclear Spins in Quantum Dots
• Spin Relaxation in a Quantum Dot due to Nyquist Noise
• Reexamination of spin decoherence in semiconductor quantum dots from equation-of-motion approach
• Revealing attractive electron-electron interaction in a quantum dot by full counting statistics
• Spectroscopy of Quantum-Dot Orbitals with In-Plane Magnetic Fields
• Valley-enhanced fast relaxation of gate-controlled donor qubits in silicon
• Spin relaxation and decoherence of two-level systems
• Shot noise in resonant tunneling through an interacting quantum dot with intradot spin-flip scattering
• Spin relaxation in diluted magnetic semiconductor quantum dots
• Measurement back-action and spin noise spectroscopy in a charged cavity-QED device in the strong coupling regime
• Electron spin relaxation in cubic GaN quantum dots
• Control of spin relaxation in semiconductor double quantum dots
• Millisecond-range electron spin memory in singly-charged InP quantum dots
• The theory of coherent dynamic nuclear polarization in quantum dots
• Efficient algorithms for the dynamics of large and infinite classical central spin models
• Alignment of nuclear spins in single quantum dots using unpolarized light
• Enhanced NMR relaxation of Tomonaga-Luttinger liquids and the magnitude of the carbon hyperfine coupling in single-wall carbon nanotubes
• Spin relaxation in CdTe quantum dots with a single Mn atom
• Mesoscopic Kondo effect of a quantum dot embedded in an Aharonov-Bohm ring with intradot spin-flip scattering
• Temperature dependence of electron-spin relaxation in a single InAs quantum dot at zero applied magnetic field
• Temperature-dependent dynamical nuclear polarization bistabilities in double quantum dots in the spin-blockade regime
• Electric manipulation of electron spin relaxation induced by confined phonons in nanowire-based double quantum dots
• Andreev spin relaxation time in a shadow-evaporated InAs weak link
• Spin-orbit coupled particle in a spin bath
• Quantum-dot spin qubit and hyperfine interaction
• Quantum non-demolition measurement of an electron spin qubit through its low-energy many-body spin environment
• High mobility transport in isotopically-enriched ${}^{12}$C and ${}^{13}$C exfoliated graphene
• Phonon-assisted carrier tunneling in coupled quantum dot systems with hyperfine-induced spin flip
• Photodriven germanium hole qubit
• Spin Hot Spots in Single-Electron GaAs-based Quantum Dots
• Andreev spin qubit protected by Franck-Condon blockade
• Spin conversion rates due to dipolar interactions in mono-isotopic quantum dots at vanishing spin-orbit coupling
• Spin echo without an external permanent magnetic field
• Non-Markovian dynamics of a localized electron spin due to the hyperfine interaction
• Non-Markovianity Benefits Quantum Dynamics Simulation
• Spin precession caused by spin-spin interaction between bounded electrons in quantum dots