Effect of a Coulombic dot-lead coupling on the dynamics of a quantum dot

Abstract

The effect of a Coulombic coupling on the dynamics of a quantum dot hybridized to leads is determined. The calculation treats the interaction between charge fluctuations on the dot and the dynamically generated image charge in the leads. A formally exact solution is presented for a dot coupled to a Luttinger liquid and an approximate solution, equivalent to treating the lead dynamics within a random phase approximation, is given for a dot coupled to a two- or three-dimensional metallic lead. The leading divergences arising from the long-ranged Coulomb interaction are found to cancel, so that in the two- and three-dimensional cases the quantum-dot dynamics is equivalent to that obtained by neglecting both the dot-lead Coulomb coupling and the Coulomb renormalization of the lead electrons, while in the one-dimensional case the dot-lead mixing is enhanced relative to the non-interacting case. Explicit results are given for the short-time dynamics.

8 pages, 2 figures, version as published

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Cited by in corpus (10)

• Charge trapping in the system of interacting quantum dots
• Control of the non-stationary spin-polarized tunneling currents by applied bias changing
• Charge and energy fractionalization mechanism in one-dimensional channels
• Entanglement entropy and quantum phase transitions in quantum dots coupled to Luttinger liquid wires
• Transport through a quantum dot with two parallel Luttinger liquid leads
• Hierarchical equations of motion approach to transport through an Anderson impurity coupled to interacting Luttinger liquid leads
• Transport through a quantum dot with excitonic dot-lead coupling
• Density of states of a dissipative quantum dot coupled to a quantum wire
• Kinetics of local $"$magnetic$"$ moment and non-stationary spin-polarized current in the single impurity Anderson-model
• Stochastic Schrödinger equation approach to real-time dynamics of Anderson-Holstein impurities: an open quantum system perspective