Ground-state cooling of a carbon nanomechanical resonator by spin-polarized current

Abstract

We study the nonequilibrium steady state of a mechanical resonator in the quantum regime realized by a suspended carbon nanotube quantum dot contacted by two ferromagnets. Because of the spin-orbit interaction and/or an external magnetic field gradient, the spin on the dot couples directly to the flexural eigenmodes. Accordingly, the nanomechanical motion induces inelastic spin flips of the tunneling electrons. A spin-polarized current at finite bias voltage causes either heating or active cooling of the mechanical modes. We show that maximal cooling is achieved at resonant transport when the energy splitting between two dot levels of opposite spin equals the vibrational frequency. Even for weak electron-resonator coupling and moderate polarizations we can achieve ground-state cooling with a temperature of the leads, for instance, of $T=10\omega$.

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• Cooling molecular electronic junctions by AC current
• Intensity equations for birefringent spin lasers
• Lasing in circuit quantum electrodynamics with strong noise
• Sensitivity of the mixing current technique to detect nano-mechanical motion
• Tunable RKKY interaction in a double quantum dot nanoelectromechanical device
• Interplay of Vibration and Coulomb Effects in Transport of Spin-Polarized Electrons in a Single-Molecule Transistor
• Creating arbitrary quantum vibrational states in a carbon nanotube
• Thermoelectric unipolar spin battery in a suspended carbon nanotube