Theory of measuring the "Luttinger-g" of a one-dimensional quantum dot

Abstract

We study electron transport through a quantum dot in a Tomonaga-Luttinger liquid with an inhomogeneity induced either by a non-uniform electron interaction or by the presence of tunnel resistances of contacts. The non-analytic temperature behavior of the conductance peaks show crossovers determined by the different energy scales associated with the dot and the inhomogeneity despite the Coulomb blockade remains intact. This suggests an explanation of recent findings in semiconductor quantum wires and carbon nanotubes.

arXiv comment4 pages, 3 colour figures, to be published with Phys. Rev. B

References in corpus (9)

• Luttinger Liquid Behavior in Carbon Nanotubes
• One-Dimensional Fermi liquids
• Transport in an inhomogeneous interacting one--dimensional system
• Experimental Evidence for Resonant-Tunneling in a Luttinger-Liquid
• Resonant tunneling through a quantum dot weakly coupled to quantum wires or quantum Hall edge states
• Tunneling through a barrier in Tomonaga-Luttinger liquid connected to reservoirs
• Charge and spin addition energies of one dimensional quantumn dot
• Control of spin in quantum dots with non-Fermi liquid correlations
• Transport through quasi-ballistic quantum wires: the role of contacts

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• Impurity and correlation effects on transport in one-dimensional quantum wires
• Transport properties of single channel quantum wires with an impurity: Influence of finite length and temperature on average current and noise
• Transport of interacting electrons through a double barrier in quantum wires
• Tunneling between helical edge states through extended contacts
• Theory of momentum resolved tunneling into a short quantum wire
• AFM probe for the signatures of Wigner correlations in the conductance of a one-dimensional quantum dot
• Transport properties of quantum dots in the Wigner molecule regime
• Spin-thermoelectric transport induced by interactions and spin-flip processes in two dimensional topological insulators
• Generating and controlling spin-polarized currents induced by a quantum spin Hall antidot
• An electrical probe for mechanical vibrations in suspended carbon nanotubes
• Temperature-induced emergence of Wigner correlations in a STM-probed one-dimensional quantum dot
• Charge and energy fractionalization mechanism in one-dimensional channels
• Resonant tunneling in a Luttinger liquid for arbitrary barrier transmission
• Non-linear Coulomb blockade microscopy of a correlated one-dimensional quantum dot
• Spin effects in transport through non-Fermi liquid quantum dots
• Transport properties of a two-dimensional electron liquid at high magnetic field
• Carbon nanotube sensor for vibrating molecules
• Density of states of interacting quantum wires with impurities: a Dyson equation approach