Dynamical 1/N approach to time-dependent currents through quantum dots

Abstract

A systematic truncation of the many-body Hilbert space is implemented to study how electrons in a quantum dot attached to conducting leads respond to time-dependent biases. The method, which we call the dynamical 1/N approach, is first tested in the most unfavorable case, the case of spinless fermions (N=1). We recover the expected behavior, including transient ringing of the current in response to an abrupt change of bias. We then apply the approach to the physical case of spinning electrons, N=2, in the Kondo regime for the case of infinite intradot Coulomb repulsion. In agreement with previous calculations based on the non-crossing approximation (NCA), we find current oscillations associated with transitions between Kondo resonances situated at the Fermi levels of each lead. We show that this behavior persists for a more realistic model of semiconducting quantum dots in which the Coulomb repulsion is finite.

18 pages, 7 eps figures, discussion extended for spinless electrons and typos

References in corpus (6)

• Time-dependent density-matrix renormalization group: A systematic method for the study of quantum many-body systems out-of-equilibrium
• Non-Equilibrium Transport through a Kondo-Dot in a Magnetic Field: Perturbation Theory and Poor Man's Scaling
• The Kondo effect in quantum dots at high voltage: Universality and scaling
• Transport in Quantum Dots from the Integrability of the Anderson Model
• Is the quantum dot at large bias a weak-coupling problem?
• Out-of-Equilibrium Kondo Effect: Response to Pulsed Fields

Cited by in corpus (9)

• Transient currents and universal timescales for a fully time-dependent quantum dot in the Kondo regime
• Kondo Resonance Decoherence by an External Potential
• Transient current in a quantum dot asymmetrically coupled to metallic leads
• Kondo resonance in an ac driven quantum dot subjected to finite bias
• Prediction of femtosecond oscillations in the transient current of a quantum dot in the Kondo regime
• Transient thermoelectricity in a vibrating quantum dot in Kondo regime
• Light-emitting current of electrically driven single-photon sources
• Temporal evolution of Seebeck coefficient in an ac driven strongly correlated quantum dot
• Designer thermal switches: Effect of the contact material on instantaneous thermoelectric transport through a strongly interacting quantum dot