Heat, molecular vibrations, and adiabatic driving in non-equilibrium transport through interacting quantum dots

Abstract

In this article we review aspects of charge and heat transport in interacting quantum dots and molecular junctions under stationary and time-dependent non-equilibrium conditions due to finite electrical and thermal bias. In particular, we discuss how a discrete level spectrum can be beneficial for thermoelectric applications, and investigate the detrimental effects of molecular vibrations on the efficiency of a molecular quantum dot as an energy converter. In addition, we consider the effects of a slow time-dependent modulation of applied voltages on the transport properties of a quantum dot and show how this can be used as a spectroscopic tool complementary to standard dc-measurements. Finally, we combine time-dependent driving with thermoelectrics in a double-quantum dot system - a nanoscale analogue of a cyclic heat engine - and discuss its operation and the main limitations to its performance.

arXiv commentReview article submitted to PSS (b) for the special issue "Quantum transport at the molecular scale"

References in corpus (89)

• Quantum Computation with Quantum Dots
• Spins in few-electron quantum dots
• Introduction to Quantum Noise, Measurement and Amplification
• Opportunities for mesoscopics in thermometry and refrigeration: Physics and applications
• Scattering approach to parametric pumping
• An Adiabatic Quantum Electron Pump
• An On-Demand Coherent Single Electron Source
• Franck-Condon blockade and giant Fano factors in transport through single molecules
• Phonon effects in molecular transistors: Quantum and classical treatment
• Spin battery operated by ferromagnetic resonance
• Single-electron current sources: towards a refined definition of ampere
• Coherence and Indistinguishability of Single Electrons Emitted by Independent Sources
• Resonant tunneling through ultrasmall quantum dots: zero-bias anomalies, magnetic field dependence, and boson-assisted transport
• Reversible thermoelectric nanomaterials
• Reversible quantum Brownian heat engines for electrons
• Thermoelectric efficiency at maximum power in a quantum dot
• Giant thermopower and figure of merit in single-molecule devices
• Experimental Realization of a Quantum Spin Pump
• Modulation of Thermoelectric Power of Individual Carbon Nanotubes
• Vibrational sidebands and dissipative tunneling in molecular transistors
• Theory of the Franck-Condon blockade regime
• Zero-bias anomalies and boson-assisted tunneling through quantum dots
• Quantum-dot Carnot engine at maximum power
• Single-parameter non-adiabatic quantized charge pumping
• Mesoscopic mechanism of adiabatic charge transport
• Heat conduction in molecular transport junctions
• Optimal thermoelectric figure of merit of a molecular junction
• Berry-Phase induced Heat Pumping and its Impact on the Fluctuation Theorem
• Violation of the Wiedemann-Franz Law in a Single-Electron Transistor
• Increasing thermoelectric performance using coherent transport
• Thermoelectric efficiency at maximum power in low-dimensional systems
• Kinetic Equations for Transport Through Single-Molecule Transistors
• Giant Thermoelectric Effect from Transmission Supernodes
• An Adiabatic Quantum Pump of Spin Polarized Current
• Dissipation and noise in adiabatic quantum pumps
• Adiabatic charge pumping in almost open dots
• Tunneling broadening of vibrational sidebands in molecular transistors
• Adiabatic transport in nanostructures
• Single-electron tunneling in InP nanowires
• Heat flow in nonlinear molecular junctions
• Non-linear thermoelectrics of molecular junctions with vibrational coupling
• Geometry, Statistics and Asymptotics of Quantum Pumps
• Counting statistics for arbitrary cycles in quantum pumps
• Cotunneling thermopower of single electron transistors
• Optimal Quantum Pumps
• Pumping spin with electrical fields
• Adiabatic pumping through interacting quantum dots
• Thermoelectric effects in Kondo correlated quantum dots
• Quantum pumping in graphene
• Adiabatic quantum pump in the presence of external ac voltages
• Heating in current carrying molecular junctions
• Adiabatic pumping through a quantum dot with coulomb interactions: A perturbation expansion in the tunnel coupling
• Heat production and energy balance in nanoengines driven by time-dependent fields
• Sequential and co-tunneling behavior in the temperature-dependent thermopower of few-electron quantum dots
• Thermoelectric performance of a driven double quantum dot
• Non-adiabatic pumping through interacting quantum dots
• Lineshape of the thermopower of quantum dots
• Kondo physics in tunable semiconductor nanowire quantum dots
• Pumping in an interacting quantum wire
• Stochastic pump effect and geometric phases in dissipative and stochastic systems
• Inelastic effects in molecular junction transport: Scattering and self-consistent calculations for the Seebeck coefficient
• Nonadiabatic electron heat pump
• Nonequilibrium theory of Coulomb blockade in open quantum dots
• Quantized charge transport through a static quantum dot using a surface acoustic wave
• Mechanism for large thermoelectric power in negative-U molecular quantum dots
• Vibrational Excitations in Weakly Coupled Single-Molecule Junctions: A Computational Analysis
• Adiabatic charge and spin pumping through quantum dots with ferromagnetic leads
• Charge Pumping in Mesoscopic Systems coupled to a Superconducting Lead
• Adiabatic Pumping in Interacting Systems
• Non adiabatic features of electron pumping through a quantum dot in the Kondo regime
• Enhancement of parametric pumping due to Andreev reflection
• Adiabatic pumping in the mixed-valence and Kondo regimes
• Anomalous suppression of the shot noise in a nanoelectromechanical system
• Interaction-induced adiabatic non-linear transport
• Charge and spin pumping through a double quantum dot
• Acoustoelectric current and pumping in a ballistic quantum point contact
• Interaction-induced charge and spin pumping through a quantum dot at finite bias
• A spin pump turnstile: parametric pumping of a spin-polarized current through a nearly-closed quantum dot
• Nonlinear adiabatic response of interacting quantum dots
• Andreev interference in adiabatic pumping
• Effects of interaction on an adiabatic quantum electron pump
• Quantized Charge Pumping through a Carbon Nanotube Double Quantum Dot
• Zero-frequency noise in adiabatically driven, interacting quantum systems
• Diagrammatic real-time approach to adiabatic pumping through metallic single-electron devices
• Adiabatic pumping through a quantum dot in the Kondo regime: Exact results at the Toulouse limit
• Theory of spin pumping through an interacting quantum dot tunnel coupled to a ferromagnet with time-dependent magnetization
• Adiabatic pumping through an interacting quantum dot with spin-orbit coupling
• Acoustoelectric pumping through a ballistic point contact in the presence of magnetic fields
• Interaction effects in electric transport through self-assembled molecular monolayers

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• Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions
• Finding the quantum thermoelectric with maximal efficiency and minimal entropy production at given power output
• Correlations of heat and charge currents in quantum-dot thermoelectric engines
• Thermoelectrics in Coulomb-coupled quantum dots: Cotunneling and energy-dependent lead couplings
• Transport mirages in single-molecule devices
• Time-Dependent Numerical Renormalization Group Method for Multiple Quenches: Application to General Pulses and Periodic Driving
• Time-dependent thermoelectric transport for nanoscale thermal machines
• Renormalization in periodically driven quantum dots
• Real-time diagrammatic approach to current-induced forces: Application to quantum-dot based nanomotors
• Gauge freedom in observables and Landsbergs nonadiabatic geometric phase: pumping spectroscopy of interacting open quantum systems
• A Landau-Zener Lindblad equation and work extraction from coherences
• Thermodynamics and steady state of quantum motors and pumps far from equilibrium
• Magnetic field dependence of the thermopower of Kondo-correlated quantum dots: Comparison with experiment
• Quantum thermodynamics of nanoscale thermoelectrics and electronic devices
• Effect of magnetic anisotropy on spin-dependent thermoelectric effects in nanoscopic systems
• Geometric energy transport and refrigeration with driven quantum dots
• Functional renormalization group in Floquet space
• Simulating time-dependent thermoelectric transport in quantum systems
• Thermoelectric performance of strongly-correlated quantum impurity models
• Temperature-driven and electrochemical-potential-driven adiabatic pumping via a quantum dot
• Role of coherence in quantum-dot-based nanomachines within the Coulomb blockade regime
• Adiabatic almost-topological pumping of fractional charges in non-interacting quantum dots
• Optimizing energy conversion with nonthermal resources in steady-state quantum devices
• A Strongly Correlated Quantum-Dot Heat Engine with Optimal Performance: An Non-equilibrium Green's function Approach
• Geometrical optimization of pumping power under adiabatic parameter driving