Electrical current and coupled electron-nuclear spin dynamics in double quantum dots

Abstract

We examine electronic transport in a spin-blockaded double quantum dot. We show that by tuning the strength of the spin-orbit interaction the current flowing through the double dot exhibits a dip at zero magnetic field or a peak at a magnetic field for which the two-electron energy levels anticross. This behaviour is due to the dependence of the singlet-triplet mixing on the field and spin-orbit amplitude. We derive approximate expressions for the current as a function of the amplitudes of the states involved in the transport. We also consider an alternative model that takes into account a finite number of nuclear spins and study the resulting coupled dynamics between electron and nuclear spins. We show that if the spin ensemble is in a thermal state there are regular oscillations in the transient current followed by quasi-chaotic revivals akin to those seen in a thermal Jaynes-Cummings model.

13 pages, 7 figs

References in corpus (7)

• Quantum many-body theory of qubit decoherence in a finite-size spin bath
• Dynamic Nuclear Polarization with Single Electron Spins
• Measurement of Temporal Correlations of the Overhauser Field in a Double Quantum Dot
• Large nuclear Overhauser fields detected in vertically-coupled double quantum dots
• Spin state mixing in InAs double quantum dots
• Pauli spin blockade in carbon nanotube double quantum dots
• Phase Transitions in Dissipative Quantum Transport and Mesoscopic Nuclear Spin Pumping

Cited by in corpus (7)

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• Nuclear Spin Dynamics in Double Quantum Dots: Multi-Stability, Dynamical Polarization, Criticality and Entanglement
• Spontaneous and resonant lifting of the spin blockade in nanowire quantum dots
• Superradiant-like dynamics by electron shuttling on a nuclear-spin island
• Microwave spectroscopy of spin-orbit coupled states: energy detuning versus interdot coupling modulation