Nuclear spin diffusion in semiconductor nanostructures: Effects of inhomogeneous hyperfine interactions

Abstract

We study the effect of contact hyperfine interaction on the nuclear spin diffusion coefficients in semiconductor quantum dots. The diffusion coefficients are calculated with both the method of moment and density matrix. We show that nuclear spin diffusion is strongly suppressed by the nonuniform hyperfine coupling resulting from the confined electron wavefunction. Our results agree with the observed suppression of nuclear spin diffusion in these structures in recent experiments, and clarify the degree of validity of the method of moment in an inhomogeneous system.

7 pages, 4 figures

References in corpus (9)

• Electron spin decoherence in quantum dots due to interaction with nuclei
• Long-lived memory for mesoscopic quantum bits
• Nuclear spin induced oscillatory current in spin-blocked quantum dots
• Theory of nuclear induced spectral diffusion: Spin decoherence of phosphorus donors in Si and GaAs quantum dots
• Hydrogenic Spin Quantum Computing in Silicon: A Digital Approach
• Electron spin coherence in semiconductors: Considerations for a spin-based solid state quantum computer architecture
• Local Manipulation of Nuclear Spin in a Semiconductor Quantum Well
• Nuclear spin relaxation probed by a single quantum dot
• Optically-patterned nuclear doughnuts in GaAs/MnAs heterostructures

Cited by in corpus (37)

• Spins in few-electron quantum dots
• Semiconductor Spintronics
• Quantum computing by optical control of electron spins
• Quantum measurement of a mesoscopic spin ensemble
• Spectrum of the Nuclear Environment for GaAs Spin Qubits
• Nuclear spin dynamics and Zeno effect in quantum dots and defect centers
• Exchange Control of Nuclear Spin Diffusion in a Double Quantum Dot
• Dynamical nuclear spin polarization and the Zamboni effect in gated double quantum dots
• Theoretical study of nuclear spin polarization and depolarization in self-assembled quantum dots
• Decoherence of spin qubits due to a nearby charge fluctuator in gate-defined double dots
• Polarization freezing of 10000 optically-cooled nuclear spins by coupling to a single electron
• Overhauser effect in individual InP/GaInP dots
• Long nuclear spin decay times controlled by optical pumping in individual quantum dots
• Exactly solvable spin dynamics of an electron coupled to large number of nuclei and the electron-nuclear spin echo in a quantum dot
• Electron-nuclei spin dynamics in II-VI semiconductor quantum dots
• Non-local nuclear spin quieting in quantum dot molecules: Optically-induced extended two-electron spin coherence time
• Dynamics of entanglement of two electron spins interacting with nuclear spin baths in quantum dots
• Dynamics of Overhauser Field under nuclear spin diffusion in a quantum dot
• Spin Decoherence from Hamiltonian dynamics in Quantum Dots
• Nuclear spin diffusion in the central spin system of a GaAs/AlGaAs quantum dot
• Enhancement of nuclear spin coherence times by driving dynamic nuclear polarization at defect centers in solids
• Two-laser dynamic nuclear polarization with semiconductor electrons: feedback, suppressed fluctuations, and bistability near two-photon resonance
• Wigner-molecularization-enabled dynamic nuclear field programming
• Nuclear Polarization in Quantum Point Contacts in an In-Plane Magnetic Field
• Decoherence of Nuclear Spin Quantum Memory in Quantum Dot
• A solvable quantum model of dynamic nuclear polarization in quantum dots
• Stabilizing nuclear spins around semiconductor electrons via the interplay of optical coherent population trapping and dynamic nuclear polarization
• Coherence of a field-gradient-driven singlet-triplet qubit coupled to many-electron spin states in 28Si/SiGe
• Helicity asymmetry of optically-pumped NMR spectra in GaAs
• Nuclear magnetic resonance probes for the Kondo scenario for the 0.7 feature in semiconductor quantum point contact devices
• Dipole-like dynamical nuclear spin polarization around a quantum point contact
• Multistability and spin diffusion enhanced lifetimes in dynamic nuclear polarization in a double quantum dot
• Noise suppression and long-range exchange coupling for gallium arsenide spin qubits
• Superradiant-like dynamics by electron shuttling on a nuclear-spin island
• Spin echo without an external permanent magnetic field
• Direct high resolution resonant Raman scattering measurements of InAs quantum dot dynamic nuclear spin polarization states
• Dynamical nuclear spin polarization in a quantum dot with an electron spin driven by electric dipole spin resonance