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In terms of nonequilibrium Green functions formalism in the finite-U slave mean field approximation, polarized transport through a quantum dot coupled to ferromagnetic electrodes with noncollinear magnetizations is considered. The difference in the orientations of electrode magnetizations opens off-diagonal spin-orbital transmission, but spin currents of longitudinal polarization also appear.
Here, we couple a single electron embedded in a carbon nanotube quantum dot to a THz resonator. The resulting light-matter interaction leads to a THz energy gap in the carbon nanotube solely due to the THz resonator's vacuum fluctuations.
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