Correlated sequential tunneling through a double barrier for interacting one-dimensional electrons

Abstract

The problem of resonant tunneling through a quantum dot weakly coupled to spinless Tomonaga-Luttinger liquids has been studied. We compute the linear conductance due to sequential tunneling processes upon employing a master equation approach. Besides the previously used lowest-order golden rule rates describing uncorrelated sequential tunneling (UST) processes, we systematically include higher-order correlated sequential tunneling (CST) diagrams within the standard Weisskopf-Wigner approximation. We provide estimates for the parameter regions where CST effects can be important. Focusing mainly on the temperature dependence of the peak conductance, we discuss the relation of these findings to previous theoretical and experimental results.

replaced with the published version

References in corpus (14)

• Luttinger Liquid Behavior in Carbon Nanotubes
• Coulomb Interactions and Mesoscopic Effects in Carbon Nanotubes
• Effective low-energy theory for correlated carbon nanotubes
• Electrical transport through carbon nanotube junctions created by mechanical manipulation
• Experimental Evidence for Resonant-Tunneling in a Luttinger-Liquid
• Correlated transport and non-Fermi liquid behavior in single-wall carbon nanotubes
• Resonant tunneling through a quantum dot weakly coupled to quantum wires or quantum Hall edge states
• Resonant tunneling of interacting electrons in a one-dimensional wire
• Transport of interacting electrons through a double barrier in quantum wires
• Resonant tunnelling between Luttinger liquids: solvable case
• Correlation effects on resonant tunneling in one-dimensional quantum wires
• Correlated tunneling in intramolecular carbon nanotube quantum dots
• Resonant tunneling in a Luttinger liquid for arbitrary barrier transmission
• Nonequilibrium transfer and decoherence in quantum impurity problems

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• Spin-charge mixing effects on resonant tunneling in a polarized Luttinger Liquid
• Transport properties of double-walled carbon nanotube quantum dots
• Environment-Induced Rabi Oscillations in the Optomechanical Boson-Boson Model
• Density of states of interacting quantum wires with impurities: a Dyson equation approach