Nuclear Spins in Nanostructures

Abstract

We review recent theoretical and experimental advances toward understanding the effects of nuclear spins in confined nanostructures. These systems, which include quantum dots, defect centers, and molecular magnets, are particularly interesting for their importance in quantum information processing devices, which aim to coherently manipulate single electron spins with high precision. On one hand, interactions between confined electron spins and a nuclear-spin environment provide a decoherence source for the electron, and on the other, a strong effective magnetic field that can be used to execute local coherent rotations. A great deal of effort has been directed toward understanding the details of the relevant decoherence processes and to find new methods to manipulate the coupled electron-nuclear system. A sequence of spectacular new results have provided understanding of spin-bath decoherence, nuclear spin diffusion, and preparation of the nuclear state through dynamic polarization and more general manipulation of the nuclear-spin density matrix through "state narrowing". These results demonstrate the richness of this physical system and promise many new mysteries for the future.

12 pages, 6 figures, submitted as an invited feature article in Physica Status Solidi (b); v2: added references, corrected In hf coupling in Table 1, final version to appear in pss (b)

References in corpus (32)

• Single-shot read-out of an individual electron spin in a quantum dot
• Spin qubits in graphene quantum dots
• Coherent control of a single electron spin with electric fields
• Fault-Tolerant Quantum Dynamical Decoupling
• Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
• Solid state quantum memory using the 31P nuclear spin
• Spin qubits with electrically gated polyoxometalate molecules
• Theory of electron spin decoherence by interacting nuclear spins in a quantum dot
• Spin decoherence of a heavy hole coupled to nuclear spins in a quantum dot
• Dynamically Error-Corrected Gates for Universal Quantum Computation
• Spin-echo of a single electron spin in a quantum dot
• Singlet-triplet decoherence due to nuclear spins in a double quantum dot
• Electron Spin Dephasing due to Hyperfine Interactions with a Nuclear Spin Bath
• Optimal Dynamical Decoherence Control of a Qubit
• Recipes for spin-based quantum computing
• Pure quantum dephasing of a solid state electron spin qubit in a large nuclear spin bath coupled by long-range hyperfine-mediated interactions
• Dynamics of Quantum Dot Nuclear Spin Polarization Controlled by a Single Electron
• Hyperfine Interactions in Graphene and Related Carbon Nanostructures
• Electron spin phase relaxation of phosphorus donors in nuclear spin enriched silicon
• Dynamic nuclear polarization and spin-diffusion in non-conducting solids
• Universal phase shift and non-exponential decay of driven single-spin oscillations
• Nuclear Magnetism and Electronic Order in 13C Nanotubes
• Exponential decay in a spin bath
• Demagnetization of Quantum Dot Nuclear Spins: Breakdown of the Nuclear Spin Temperature Approach
• Nuclear State Preparation via Landau-Zener-Stueckelberg transitions in Double Quantum Dots
• Long-time electron spin storage via dynamical suppression of hyperfine-induced decoherence in a quantum dot
• Electrically-Driven Reverse Overhauser Pumping of Nuclear Spins in Quantum Dots
• Stationary and transient leakage current in the Pauli spin blockade
• Nuclear spin dynamics and Zeno effect in quantum dots and defect centers
• Exchange-controlled single-electron-spin rotations in quantum dots
• Quantum versus classical hyperfine-induced dynamics in a quantum dot
• Dynamic nuclear polarization induced by breakdown of fractional quantum Hall effect