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

Abstract

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

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• Emerging topological bound states in Haldane model zigzag nanoribbons
• Enhancement of tunneling density of states at a Y junction of spin-1/2 Tomonaga Luttinger liquid wires
• Charging a Dimerized Quantum XY Chain
• Carbon nanotube sensor for vibrating molecules
• Probing Wigner correlations in a suspended carbon nanotube
• Assessing bound states in a one-dimensional topological superconductor: Majorana versus Tamm
• Interaction and temperature effects on the pair correlation function of a strongly interacting 1D quantum dot