Limit-Cycles and Chaos in the Current Through a Quantum Dot

Abstract

We investigate non-linear magneto-transport through a single level quantum dot coupled to ferromagnetic leads, where the electron spin is coupled to a large, external (pseudo)spin via an anisotropic exchange interaction. We find regimes where the average current through the dot displays self-sustained oscillations that reflect the limit-cycles and chaos and map the dependence of this behaviour on magnetic field strength and the tunnel coupling to the external leads.

12 pages, 8 figures. Published version

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Cited by in corpus (10)

• Current-induced switching in transport through anisotropic magnetic molecules
• Memristive properties of single-molecule magnets
• Resonators coupled to voltage-biased Josephson junctions: From linear response to strongly driven nonlinear oscillations
• Electrical current and coupled electron-nuclear spin dynamics in double quantum dots
• Electron transport in nanoscale junctions with local anharmonic modes
• Spin transport and tunable Gilbert damping in a single-molecule magnet junction
• Temperature-dependent dynamical nuclear polarization bistabilities in double quantum dots in the spin-blockade regime
• Semiclassical spin-spin dynamics and feedback control in transport through a quantum dot
• Transport through single-level systems: Spin dynamics in the nonadiabatic regime
• Transport and semiclassical dynamics of coupled quantum dots interacting with a local magnetic moment