The interacting resonant level model in nonequilibrium: finite temperature effects

Abstract

We study the steady-state properties as well as the relaxation dynamics of the nonequilibrium interacting resonant level model at finite temperatures. It constitutes the prototype model of a correlated charge fluctuating quantum dot. The two reservoirs are held at different chemical potentials---the difference being the bias voltage---and different temperatures; we discuss the transport through as well as the occupancy of the single level dot. First, we show analytically that in the steady state the reservoir temperatures in competition with the other energy scales act as infrared cutoffs. This is rather intuitive but, depending on the parameter regime under consideration, leads to a surprisingly rich variety of power laws in the current as a function of the temperatures and the bias voltage with different interaction dependent exponents. Next we clarify how finite reservoir temperatures affect the dynamics. They allow to tune the interplay of the two frequencies characterizing the oscillatory part of the time evolution of the model at zero temperature. For the exponentially decaying part we disentangle the contributions of the level-lead hybridization and the temperatures to the decay rates. We identify a coherent-to-incoherent transition in the long time dynamics as the temperature is raised. It occurs at an interaction dependent critical temperature. Finally, taking different temperatures in the reservoirs we discuss the relaxation dynamics of a temperature gradient driven current.

12 pages, 6 figures, 1 table

References in corpus (19)

• The numerical renormalization group method for quantum impurity systems
• Interaction Quench in the Hubbard model
• Real-time dynamics in Quantum Impurity Systems: A Time-dependent Numerical Renormalization Group Approach
• Spin Precession and Real Time Dynamics in the Kondo Model: A Time-Dependent Numerical Renormalization-Group Study
• Thermoelectric transport through strongly correlated quantum dots
• Optimal thermoelectric figure of merit of a molecular junction
• Iterative real-time path integral approach to nonequilibrium quantum transport
• Violation of the Wiedemann-Franz Law in a Single-Electron Transistor
• Real-time simulations of nonequilibrium transport in the single-impurity Anderson model
• Twofold advance in the theoretical understanding of far-from-equilibrium properties of interacting nanostructures
• A perturbative nonequilibrium renormalization group method for dissipative quantum mechanics: Real-time RG in frequency space (RTRG-FS)
• Transient dynamics of the Anderson impurity model out of equilibrium
• Charge transport through single molecules, quantum dots, and quantum wires
• New method for studying steady states in quantum impurity problems: The interacting resonant level model
• Exact low temperature results for transport properties of the interacting resonant level model
• Theory of a resonant level coupled to several conduction electron channels in equilibrium and out-of-equilibrium
• Quench dynamics of correlated quantum dots
• On the applicability of bosonization and the Anderson-Yuval methods at the strong-coupling limit of quantum impurity problems
• A quantum criticality perspective on the charging of narrow quantum-dot levels