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 (5)

• Twofold advance in the theoretical understanding of far-from-equilibrium properties of interacting nanostructures
• 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
• Full counting statistics for the Kondo dot
• Time-resolved charge detection with cross-correlation techniques

Cited by in corpus (6)

• Charge transport through single molecules, quantum dots, and quantum wires
• Current noise cross correlation mediated by Majorana bound states
• Anderson impurity model in nonequilibrium: analytical results versus quantum Monte Carlo data
• Steady-state spectra, current and stability diagram of a quantum dot: a non-equilibrium Variational Cluster Approach
• Transient noise spectra in resonant tunneling setups: Exactly solvable models
• Mean Field Decoupling of Single Impurity Anderson Model through Auxiliary Majorana Fermions