Electronic transport through a quantum dot in the Coulomb-blockade cotunelling regime is investigated both experimentally and theoretically, where a single-wall carbon-nanotube weakly coupled to metallic leads plays a role of the dot. We observe a pronounced current peak for the singlet-triplet transition in a half-shell filling regime due to inelastic cotunneling processes. Using the second order perturbation theory we explain physical mechanisms determining the details of signal.
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