Spin Relaxation in a Quantum Dot due to Nyquist Noise

Abstract

We calculate electron and nuclear spin relaxation rates in a quantum dot due to the combined action of Nyquist noise and electron-nuclei hyperfine or spin-orbit interactions. The relaxation rate is linear in the resistance of the gate circuit and, in the case of spin-orbit interaction, it depends essentially on the orientations of both the static magnetic field and the fluctuating electric field, as well as on the ratio between Rashba and Dresselhaus interaction constants. We provide numerical estimates of the relaxation rate for typical system parameters, compare our results with other, previously discussed mechanisms, and show that the Nyquist mechanism can have an appreciable effect for experimentally relevant systems.

v2: New discussion of arbitrary gate setups (1 new figure), more Comments on experiments; 6 pages, 4 figures

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Cited by in corpus (17)

• Spins in few-electron quantum dots
• Semiconductor Spintronics
• Spin dynamics in semiconductors
• Electrical control of spin relaxation in a quantum dot
• Long-distance spin-spin coupling via floating gates
• Spin relaxation in a Si quantum dot due to spin-valley mixing
• Hyperfine-phonon spin relaxation in a single-electron GaAs quantum dot
• Spin Relaxation due to Charge Noise
• Qubit relaxation from evanescent-wave Johnson noise
• Intrinsic phonon decoherence and quantum gates in coupled lateral quantum dot charge qubits
• Measurement, control, and decay of quantum-dot spins
• Longitudinal spin-relaxation of donor-bound electrons in direct bandgap semiconductors
• Interplay of charge noise and coupling to phonons in adiabatic electron transfer between quantum dots
• Dynamic polarization of electron spins interacting with nuclei in semiconductor nanostructures
• Relaxation in quantum dots due to evanescent-wave Johnson noise from a metallic backgate
• Spin relaxation rates in quasi-one-dimensional coupled quantum dots
• Decoherence by electromagnetic fluctuations in double-quantum-dot charge qubits