Universal electric current of interacting resonant-level models with asymmetric interactions: An extension of the Landauer formula

Abstract

We study the electron transport in open quantum-dot systems described by the interacting resonant-level models with Coulomb interactions. We consider the situation in which the quantum dot is connected to the left and right leads asymmetrically. We exactly construct many-electron scattering eigenstates for the two-lead system, where two-body bound states appear as a consequence of one-body resonances and the Coulomb interactions. By using an extension of the Landauer formula, we calculate the average electric current for the system under bias voltages in the first order of the interaction parameters. Through a renormalization-group technique, we arrive at the universal electric current, where we observe the suppression of the electric current for large bias voltages, i.e., negative differential conductance. We find that the suppressed electric current is restored by the asymmetry of the system parameters.

arXiv comment27 pages, 3 figures

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Cited by in corpus (5)

• Thermodynamics of the mesoscopic thermoelectric heat engine beyond the linear-response regime
• The Ohmic two-state system from the perspective of the interacting resonant level model: Thermodynamics and transient dynamics
• Many-body wavefunctions for quantum impurities out of equilibrium. II. Charge fluctuations
• Exact time-evolving scattering states in open quantum-dot systems with an interaction: Discovery of time-evolving resonant states
• Current noise of the interacting resonant level model