Transient dynamics of the nonequilibrium Majorana resonant level model

Abstract

The Majorana resonant level model (MRLM) describes the universality class of the two-channel/terminal Kondo model at the Toulouse point as well as of a resonant level between two half-infinite Tomonaga--Luttinger liquids. We analyze the time evolution of the electric current and of the population function after an instantaneous switching on of the tunneling coupling. We find that the only timescale, which governs the relaxation of the initial dot preparation is the inverse contact transparency $\Gamma$, whatever the dot offset energy $\Delta$, applied bias voltage or temperature. The voltage alone determines the superimposed oscillatory behavior of the observables for weak detuning $|\Delta |<\Gamma /2$. In the opposite case of strong detuning $|\Delta |>\Gamma /2$ a beating pattern emerges. For the current the finite temperature plays the similar role as the hybridization. The dot population function dynamics approaches that of a resonant ($\Delta =0$) setup upon increasing the voltage or/and temperature.

References in corpus (19)

• Spins in few-electron quantum dots
• Kondo Physics in a Single Electron Transistor
• A Tunable Kondo Effect in Quantum Dots
• Bosonization and Strongly Correlated Systems
• Time-Dependent Transport through a Mesoscopic Structure
• Nonequilibrium Transport in Quantum Impurity Models (Bethe-Ansatz for open systems)
• Experimental Evidence for Resonant-Tunneling in a Luttinger-Liquid
• Twofold advance in the theoretical understanding of far-from-equilibrium properties of interacting nanostructures
• Towards full counting statistics for the Anderson impurity model
• Transient dynamics of the Anderson impurity model out of equilibrium
• New method for studying steady states in quantum impurity problems: The interacting resonant level model
• Transport through Quantum Dots: Analytic Results from Integrability
• Crossover from Non-Equilibrium to Equilibrium Behavior in the Time-Dependent Kondo Model
• Applying voltage sources to a Luttinger liquid with arbitrary transmission
• Resonant tunnelling between Luttinger liquids: solvable case
• Out-of-Equilibrium Kondo Effect: Response to Pulsed Fields
• Full counting statistics for the Kondo dot
• Transport, optical properties and quantum ratchet effects for quantum dots and molecules coupled to Luttinger liquids
• Time-resolved charge detection with cross-correlation techniques

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