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.

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References in corpus (39)

• One-Dimensional Fermi liquids
• Wigner Crystal in One Dimension
• Interacting one dimensional electron gas with open boundaries
• Crossover from Fermi liquid to Wigner molecule behavior in quantum dots
• Symmetry breaking and quantum correlations in finite systems: Studies of quantum dots and ultracold Bose gases and related nuclear and chemical methods
• Spatially resolved manipulation of single electrons in quantum dots using a scanned probe
• Coulombically Interacting Electrons in a One-dimensional Quantum Dot
• Imaging a Single-Electron Quantum Dot
• Interacting electrons with spin in a one-dimensional wire connected to leads
• Resonant Raman scattering by collective modes of the one-dimensional electron gas
• AC-conductance of a quantum wire with electron-electron interaction
• Scanning Tunneling Microscopy of a Luttinger Liquid
• Coulomb drag between two spin incoherent Luttinger liquids
• Wigner crystal vs. Friedel oscillations in the 1D Hubbard model
• Electron injection in a nanotube: noise correlations and entanglement
• Tunneling between helical edge states through extended contacts
• Coulomb versus spin-orbit interaction in few-electron carbon-nanotube quantum dots
• Exact ground state properties of the one-dimensional Coulomb gas
• Anomalous charge tunneling in the fractional quantum Hall edge states at filling factor ν= 5/2
• AFM probe for the signatures of Wigner correlations in the conductance of a one-dimensional quantum dot
• Charge tunneling in fractional edge channels
• Electroneutrality and the Friedel sum rule in a Luttinger liquid
• Transport properties of quantum dots in the Wigner molecule regime
• Anomalous suppression of the shot noise in a nanoelectromechanical system
• Negative differential conductance induced by spin-charge separation
• Characterization of coherent impurity effects in solid state qubits
• Fidelity optimization for holonomic quantum gates in dissipative environments
• Linear and nonlinear transport across carbon nanotube quantum dots
• Spectral function of few electrons in quantum wires and carbon nanotubes as a signature of Wigner localization
• Coherent properties of nano-electromechanical systems
• Sub-Poissonian phononic population in a nanoelectromechanical system
• Imaging and manipulating electrons in a 1D quantum dot with Coulomb blockade microscopy
• Control of spin in quantum dots with non-Fermi liquid correlations
• Emergence of Wigner molecules in one-dimensional systems of repulsive fermions under harmonic confinement
• An electrical probe for mechanical vibrations in suspended carbon nanotubes
• Deformed Wigner crystal in a one-dimensional quantum dot
• Theory of measuring the "Luttinger-g" of a one-dimensional quantum dot
• Electron Scattering in Intrananotube Quantum Dots
• Imaging correlated wave functions of few-electron quantum dots: Theory and scanning tunneling spectroscopy experiments

Cited by in corpus (11)

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• Out of equilibrium density dynamics of a quenched fermionic system
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• Temperature-induced emergence of Wigner correlations in a STM-probed one-dimensional quantum dot
• Theory of the STM detection of Wigner molecules in spin incoherent CNTs
• Correlation functions for the detection of Wigner molecules in a one-channel Luttinger liquid quantum dot
• Fermionic versus bosonic behavior of confined Wigner molecules
• Crystallization of fractional charges in a strongly interacting quasi-helical quantum dot
• Carbon nanotube sensor for vibrating molecules
• Probing Wigner correlations in a suspended carbon nanotube
• Conductance microscopy of quantum dots weakly or strongly coupled to the conducting channel