Non-linear Coulomb blockade microscopy of a correlated one-dimensional quantum dot

Abstract

We evaluate the chemical potential of a one-dimensional quantum dot, coupled to an atomic force microscope tip. The dot is described within the Luttinger liquid framework and the conductance peaks positions as a function of the tip location are calculated in the linear and non-linear transport regimes for an arbitrary number of particles. The differences between the chemical potential oscillations induced by Friedel and Wigner terms are carefully analyzed in the whole range of interaction strength. It is shown that Friedel oscillations, differently from the Wigner ones, are sensitive probes to detect excited spin states and collective spin density waves involved in the transport.

4 figures

References in corpus (12)

• Tunneling between helical edge states through extended contacts
• Coulomb versus spin-orbit interaction in few-electron carbon-nanotube quantum dots
• AFM probe for the signatures of Wigner correlations in the conductance of a one-dimensional quantum dot
• Charge tunneling in fractional edge channels
• Anomalous suppression of the shot noise in a nanoelectromechanical system
• Characterization of coherent impurity effects in solid state qubits
• Linear and nonlinear transport across carbon nanotube quantum dots
• Sub-Poissonian phononic population in a nanoelectromechanical system
• Coherent properties of nano-electromechanical systems
• Emergence of Wigner molecules in one-dimensional systems of repulsive fermions under harmonic confinement
• Electron Scattering in Intrananotube Quantum Dots
• Imaging correlated wave functions of few-electron quantum dots: Theory and scanning tunneling spectroscopy experiments