Spin-flip phonon-mediated charge relaxation in double quantum dots

Abstract

We theoretically study the $(1,1)$ triplet to $(0,2)$ singlet relaxation rate in a lateral gate-defined double quantum dot tuned to the regime of Pauli spin blockade. We present a detailed derivation of the effective phonon density of states for this specific charge transition, keeping track of the contribution from piezoelectric as well as deformation potential electron-phonon coupling. We further investigate two different spin-mixing mechanisms which can couple the triplet and singlet states: a magnetic field gradient over the double dot (relevant at low external magnetic field) and spin-orbit interaction (relevant at high field), and we also indicate how the two processes could interfere at intermediate magnetic field. Finally, we show how to combine all results and evaluate the relaxation rate for realistic system parameters.

9 pages, 4 figures

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• Triplet-blockaded Josephson supercurrent in double quantum dots
• The exchange-only singlet-only spin qubit
• Microwave cavity detected spin blockade in a few electron double quantum dot
• Double quantum-dot engine fueled by entanglement between electron spins
• Capacitively coupled singlet-triplet qubits in the double charge resonant regime
• Control of vibrational states by spin-polarized transport in a carbon nanotube resonator
• Dynamics of spin-flip photon-assisted tunneling
• Anisotropic exchange coupling in a nanowire double quantum dot with strong spin-orbit coupling
• The theory of coherent dynamic nuclear polarization in quantum dots
• Phonon spectral density in a GaAs/AlGaAs double quantum dot
• Few-electron Single and Double Quantum Dots in an InAs Two-Dimensional Electron Gas
• Long-range exchange interaction between spin qubits mediated by a superconducting link at finite magnetic field
• Full Counting Statistics of Spin-Flip/Conserving Charge Transitions in Pauli-Spin Blockade
• Real-time observation of charge-spin cooperative dynamics driven by a nonequilibrium phonon environment
• Spontaneous and resonant lifting of the spin blockade in nanowire quantum dots
• Leakage and dephasing in ${}^{28}$Si-based exchange-only spin qubits
• Phonon-assisted carrier tunneling in coupled quantum dot systems with hyperfine-induced spin flip
• Role of dual nuclear baths on spin blockade leakage current bistabilities
• Phonon-mediated spin dynamics in a two-electron double quantum dot under a phonon temperature gradient
• Four-state discrimination for a pair of spin qubits via gate reflectometry