Hierarchical Quantum Master Equation Approach to Electronic-Vibrational Coupling in Nonequilibrium Transport through Nanosystems

Abstract

Within the hierarchical quantum master equation (HQME) framework, an approach is presented, which allows a numerically exact description of nonequilibrium charge transport in nanosystems with strong electronic-vibrational coupling. The method is applied to a generic model of vibrationally coupled transport considering a broad spectrum of parameters ranging from the nonadiabatic to the adiabatic regime and including both resonant and off-resonant transport. We show that nonequilibrium effects are important in all these regimes. In particular in the off-resonant transport regime, the inelastic co-tunneling signal is analyzed for a vibrational mode in full nonequilibrium, revealing a complex interplay of different transport processes and deviations from the commonly used $G_0/2$-thumb-rule. In addition, the HQME-approach is used to benchmark approximate master equation and nonequilibrium Green's function methods.

References in corpus (18)

• Franck-Condon blockade and giant Fano factors in transport through single molecules
• Inelastic transport theory from first-principles: methodology and applications for nanoscale devices
• Real-time path integral approach to nonequilibrium many-body quantum system
• Franck-Condon blockade in suspended carbon nanotube quantum dots
• Tunneling in suspended carbon nanotubes assisted by longitudinal phonons
• Experimental Evidence for Quantum Interference and Vibrationally Induced Decoherence in Single-Molecule Junctions
• Modeling inelastic phonon scattering in atomic- and molecular-wire junctions
• Kinetic Equations for Transport Through Single-Molecule Transistors
• Hierarchical Liouville-space approach for accurate and universal characterization of quantum impurity systems
• Electron-vibration interaction in single-molecule junctions: from contact to tunneling regime
• Resonant Electron Transport in Single-Molecule Junctions: Vibrational Excitation, Rectification, Negative Differential Resistance and Local Cooling
• Electron-phonon interaction and full counting statistics in molecular junctions
• Vibration-induced correction to the current through a single molecule
• The formation of nonequilibrium steady states in interacting double quantum dots: When coherences dominate the charge distribution
• Current Noise in Single-Molecule Junctions Induced by Electronic-Vibrational Coupling
• Effect of nonadiabatic electronic-vibrational interactions on the transport properties of single-molecule junctions
• Crossover from adiabatic to antiadiabatic phonon-assisted tunneling in single-molecule transistors
• Phonon dynamics in correlated quantum systems driven away from equilibrium

Cited by in corpus (5)

• Field-Effect Control of Graphene-Fullerene Thermoelectric Nanodevices
• Beyond Marcus theory and the Landauer-Buttiker approach in molecular junctions. II. A self-consistent Born approach
• Nonequilibrium Green's function theory for nonadiabatic effects in quantum electron transport
• Controlling the conductance of molecular junctions using proton transfer reactions: A theoretical model study
• Influence of electron-vibration interactions on electronic current noise of atomic and molecular junctions