Hyperfine interaction and electron-spin decoherence in graphene and carbon nanotube quantum dots

Abstract

We analytically calculate the nuclear-spin interactions of a single electron confined to a carbon nanotube or graphene quantum dot. While the conduction-band states in graphene are p-type, the accordant states in a carbon nanotube are sp-hybridized due to curvature. This leads to an interesting interplay between isotropic and anisotropic hyperfine interactions. By using only analytical methods, we are able to show how the interaction strength depends on important physical parameters, such as curvature and isotope abundances. We show that for the investigated carbon structures, the 13C hyperfine coupling strength is less than 1 mu-eV, and that the associated electron-spin decoherence time can be expected to be several tens of microseconds or longer, depending on the abundance of spin-carrying 13C nuclei. Furthermore, we find that the hyperfine-induced Knight shift is highly anisotropic, both in graphene and in nanotubes of arbitrary chirality.

9 pages, 5 figures

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• Universal Quantum Computing with Spin and Valley
• RKKY interaction in carbon nanotubes and graphene nanoribbons
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• Hyperfine-induced valley mixing and the spin-valley blockade in carbon-based quantum dots
• Dynamic RKKY interaction in graphene
• Spin-valley blockade in carbon nanotube double quantum dots
• Antiferromagnetic nuclear spin helix and topological superconductivity in ${}^{13}$C nanotubes
• Gate-Controlled Quantum Dots Based on Two-Dimensional Materials
• Hyperfine interactions in two-dimensional HgTe topological insulators
• Electron spin relaxation in graphene from a microscopic approach: Role of electron-electron interaction
• Spin-Orbit Effects in Carbon-Nanotube Double Quantum Dots
• Electron spin diffusion and transport in graphene
• RKKY interaction between adsorbed magnetic impurities in graphene: symmetry and strain effects
• Spin echo decay at low magnetic fields in a nuclear spin bath
• Magnetic and electronic phase crossovers in graphene nanoflakes
• Spintronic devices from bilayer graphene in contact to ferromagnetic insulators
• Absence of hyperfine effects in ${}^{13}$C-graphene spin valve devices
• Spintronics with graphene quantum dots
• Hyperfine magnetic field in ferromagnetic graphite
• Theoretical Studies of Graphene Nanoribbon Quantum Dot Qubits
• Microwave spectroscopy of a carbon nanotube charge qubit
• Detection and characterization of Many-Body Localization in Central Spin Models
• Molecule States in a Gate Tunable Graphene Double Quantum Dot
• Hyperfine and spin-orbit coupling effects on decay of spin-valley states in a carbon nanotube
• Ultra long spin decoherence times in graphene quantum dots with a small number of nuclear spins
• Spin decoherence in graphene quantum dots due to hyperfine interaction
• Probing individual split Cooper-pairs using the spin qubit toolkit
• Non-interacting central site model: localization and logarithmic entanglement growth
• Non-monotonic spin relaxation and decoherence in graphene quantum dots with spin-orbit interactions
• Dephasing and Hyperfine Interaction in Carbon Nanotubes Double Quantum Dots: Disordered Case
• Limit-Cycles and Chaos in the Current Through a Quantum Dot
• Dephasing and Hyperfine Interaction in Carbon Nanotubes Double Quantum Dots: The Clean Limit
• Electron spin relaxation in bilayer graphene
• Equilibration in closed quantum systems: Application to spin qubits
• Enhanced NMR relaxation of Tomonaga-Luttinger liquids and the magnitude of the carbon hyperfine coupling in single-wall carbon nanotubes
• Quantum computation with two-dimensional graphene quantum dots
• Dynamical nuclear spin polarization induced by electronic current through double quantum dots
• Temperature-dependent dynamical nuclear polarization bistabilities in double quantum dots in the spin-blockade regime
• Maximizing the purity of a qubit evolving in an anisotropic environment
• NMR parameters in gapped graphene systems
• Microsecond-lived quantum states in a carbon-based circuit driven by cavity photons
• Systematic Modulation of Charge and Spin in Graphene Nanoribbons on MgO
• Hyperfine induced electron spin and entanglement dynamics in double quantum dots: The case of separate baths
• Para-ortho transition of artificial H${}_2$ molecule in lateral quantum dots doped with magnetic impurities
• Three-carrier spin blockade and coupling in bilayer graphene double quantum dots
• Transport through single-level systems: Spin dynamics in the nonadiabatic regime
• Orbital hyperfine interaction and qubit dephasing in carbon nanotube quantum dots
• Tuning confined states and valley g-factors by quantum dot design in bilayer graphene
• Nuclear-induced dephasing and signatures of hyperfine effects in isotopically purified ${}^{13}$C graphene
• Thermal electron spin flip in quantum dots
• High mobility transport in isotopically-enriched ${}^{12}$C and ${}^{13}$C exfoliated graphene
• Hyperfine interactions in open-shell planar $s{p}^2$-carbon nanostructures
• Quasi-two-dimensional spin helix and magnon-induced singularity in twisted bilayer graphene
• Coupled-wire descriptions of unconventional quantum states in twisted nanostructures