Functional renormalization group study of the interacting resonant level model in and out of equilibrium

Abstract

We investigate equilibrium and steady-state non-equilibrium transport properties of a spinless resonant level locally coupled to two conduction bands of width ~Γvia a Coulomb interaction U and a hybridization t'. In order to study the effects of finite bias voltages beyond linear response, a generalization of the functional renormalization group to Keldysh frequency space is employed. Being mostly unexplored in the context of quantum impurity systems out of equilibrium, we benchmark this method against recently-published time-dependent density matrix renormalization group data. We thoroughly investigate the scaling limit Γ\to\infty characterized by the appearance of power laws. Most importantly, at the particle-hole symmetric point the steady-state current decays like J ~ V^{-α_J} as a function of the bias voltage V>>t', with an exponent α_J(U) that we calculate to leading order in the Coulomb interaction strength. In contrast, we do not observe a pure power-law (but more complex) current-voltage-relation if the energy εof the resonant level is pinned close to either one of the chemical potentials \pm V/2.

References in corpus (18)

• The numerical renormalization group method for quantum impurity systems
• Real time evolution using the density matrix renormalization group
• Real-time dynamics in Quantum Impurity Systems: A Time-dependent Numerical Renormalization Group Approach
• Iterative real-time path integral approach to nonequilibrium quantum transport
• 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
• A finite-frequency functional RG approach to the single impurity Anderson model
• A novel approach to transport through correlated quantum dots
• Imaginary-time formulation of steady-state nonequilibrium: application to strongly correlated transport
• New method for studying steady states in quantum impurity problems: The interacting resonant level model
• Mesoscopic to universal crossover of transmission phase of multi-level quantum dots
• Strong enhancement of transport by interaction on contact links
• Theory of a resonant level coupled to several conduction electron channels in equilibrium and out-of-equilibrium
• Phase lapses in transmission through interacting two-level 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

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