AFM probe for the signatures of Wigner correlations in the conductance of a one-dimensional quantum dot

Abstract

The transport properties of an interacting one-dimensional quantum dot capacitively coupled to an atomic force microscope probe are investigated. The dot is described within a Luttinger liquid framework which captures both Friedel and Wigner oscillations. In the linear regime, we demonstrate that both the conductance peak position and height oscillate as the tip is scanned along the dot. A pronounced beating pattern in the conductance maximum is observed, connected to the oscillations of the electron density. Signatures of the effects induced by a Wigner molecule are clearly identified and their stability against the strength of Coulomb interactions are analyzed. While the oscillations of the peak position due to Wigner get enhanced at strong interactions, the peak height modulations are suppressed as interactions grow. Oscillations due to Friedel, on the other hand, are robust against interaction.

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Cited by in corpus (10)

• Kohn-Sham density functional theory for quantum wires in arbitrary correlation regimes
• Correlation functions for the detection of Wigner molecules in a one-channel Luttinger liquid quantum dot
• Wigner crystal phases in confined carbon nanotubes
• Non-linear Coulomb blockade microscopy of a correlated one-dimensional quantum dot
• Electronic wave-packets in integer quantum Hall edge channels: relaxation and dissipative effects
• Universal transport dynamics in a quenched tunnel-coupled Luttinger liquid
• Investigations of local electronic transport in InAs nanowires by scanning gate microscopy at helium temperatures
• Assessing bound states in a one-dimensional topological superconductor: Majorana versus Tamm
• Conductance microscopy of quantum dots weakly or strongly coupled to the conducting channel
• Probe-assisted spin manipulation in one-dimensional quantum dots