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The linear conductance of a carbon nanotube quantum dot in the Wignermolecule regime, coupled to two scanning tunnel microscope tips is inspected.Considering the high temperature regime, the nanotube quantum dot is describedby means of the spin-incoherent Luttinger liquid picture. The linearconductance exhibits spatial oscillations induced by the presence of thecorrelated, molecular electron state. A power-law scaling of the electrondensity and of the conductance as a function of the interaction parameter arefound. They confirm local transport as a sensitive tool to investigate theWigner molecule. The double-tip setup allows to explore different transportregimes with different shapes of the spatial modulation, all bringinginformation about the Wigner molecule.

Theory of the STM detection of Wigner molecules in spin incoherent CNTs