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23144463523
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note
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We assume that the final state of nuclear spins is a pure state, not a mixed state with electron states |↑〉 or |↓〉, after the electron tunnels out of the dot. We observe a spin flip of electron by the leakage current in a spin-blocked situation, whereas we cannot observe which of the nuclear spins was flipped. In a spin-flip process, a phonon may be emitted. However, if the wavelength of the phonon is much longer than the nucleus-nucleus distance, we do not obtain such information on the nuclear spins.
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2,3)
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z. Note that the spin of an incident electron in dot L is parallel or anti-parallel to the spin of an electron trapped in dot R, with equal probability. In the latter case, the spin blockade does not occur, the electron tunnels in the second dot and finally out to lead R immediately. The current is the sum of the currents with and without spin flip.
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