Charge transport through single molecules, quantum dots, and quantum wires

Abstract

We review recent progresses in the theoretical description of correlation and quantum fluctuation phenomena in charge transport through single molecules, quantum dots, and quantum wires. A variety of physical phenomena is addressed, relating to co-tunneling, pair-tunneling, adiabatic quantum pumping, charge and spin fluctuations, and inhomogeneous Luttinger liquids. We review theoretical many-body methods to treat correlation effects, quantum fluctuations, nonequilibrium physics, and the time evolution into the stationary state of complex nanoelectronic systems.

48 pages, 14 figures, Topical Review for Nanotechnology

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• Electron Cotunneling in a Semiconductor Quantum Dot
• Universal theory of nonlinear Luttinger liquids
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• Iterative real-time path integral approach to nonequilibrium quantum transport
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• Kinetic Equations for Transport Through Single-Molecule Transistors
• Dissipation and noise in adiabatic quantum pumps
• Non-Equilibrium Transport through a Kondo-Dot in a Magnetic Field: Perturbation Theory and Poor Man's Scaling
• Influence of nano-mechanical properties on single electron tunneling: A vibrating Single-Electron Transistor
• Spin Tunneling and Phonon-assisted Relaxation in Mn12-acetate
• Electrical manipulation of spin states in a single electrostatically gated transition-metal complex
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• Spin amplification, reading, and writing in transport through anisotropic magnetic molecules
• Twofold advance in the theoretical understanding of far-from-equilibrium properties of interacting nanostructures
• Adiabatic charge pumping in almost open dots
• Quantum tunneling induced Kondo effect in single molecular magnets
• Tunneling broadening of vibrational sidebands in molecular transistors
• The Kondo effect in quantum dots at high voltage: Universality and scaling
• Nonequilibrium functional renormalization group for interacting quantum systems
• Josephson current through a single Anderson impurity coupled to BCS leads
• Heat flow in nonlinear molecular junctions
• Geometry, Statistics and Asymptotics of Quantum Pumps
• Counting statistics for arbitrary cycles in quantum pumps
• Equilibrium and non-equilibrium dynamics of the sub-ohmic spin-boson model
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• Current-induced nonequilibrium vibrations in single-molecule devices
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• Current collapse in tunneling transport through benzene
• Tunneling Spectra of Individual Magnetic Endofullerene Molecules
• Rigorous Born Approximation and beyond for the Spin-Boson Model
• Transport through a double quantum dot in the sequential- and co- tunneling regimes
• Vibrational Sidebands and Kondo-effect in Molecular Transistors
• Real-time renormalization group and charge fluctuations in quantum dots
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• Spin quantum tunneling in single molecular magnets: fingerprints in transport spectroscopy of current and noise
• Magnetic Switching of a Single Molecular Magnet due to Spin-Polarized Current
• Impurity and correlation effects on transport in one-dimensional quantum wires
• Correlation induced resonances in transport through coupled quantum dots
• Imaginary-time formulation of steady-state nonequilibrium: application to strongly correlated transport
• Adiabatic pumping through a quantum dot with coulomb interactions: A perturbation expansion in the tunnel coupling
• Effect of inelastic scattering on parametric pumping
• Boundary interactions changing operators and dynamical correlations in quantum impurity problems
• A benzene interference single-electron transistor
• Resonant tunneling of interacting electrons in a one-dimensional wire
• Properties of anisotropic magnetic impurities on surfaces
• Pumping of vibrational excitations in a Coulomb blockaded suspended carbon nanotube
• Probing level renormalization by sequential transport through double quantum dots
• The Kondo Effect in Non-Equilibrium Quantum Dots: Perturbative Renormalization Group
• Non-adiabatic pumping through interacting quantum dots
• Relaxation vs decoherence: Spin and current dynamics in the anisotropic Kondo model at finite bias and magnetic field
• Transport of interacting electrons through a double barrier in quantum wires
• Spin effects in transport through single-molecule magnets in the sequential and cotunneling regimes
• Functional renormalization group approach to zero-dimensional interacting systems
• Pumping in an interacting quantum wire
• Non-equilibrium current and relaxation dynamics of a charge-fluctuating quantum dot
• Berry-phase blockade in single-molecule magnets
• Nonequilibrium theory of Coulomb blockade in open quantum dots
• Functional renormalization group study of the interacting resonant level model in and out of equilibrium
• Mesoscopic to universal crossover of transmission phase of multi-level quantum dots
• Cotunneling and non-equilibrium magnetization in magnetic molecular monolayers
• Full counting statistics of strongly non-Ohmic transport through single molecules
• Cotunneling-mediated transport through excited states in the Coulomb blockade regime
• Vibrational Excitations in Weakly Coupled Single-Molecule Junctions: A Computational Analysis
• Charge pumping in carbon nanotube quantum dots
• Adiabatic charge and spin pumping through quantum dots with ferromagnetic leads
• Exact low temperature results for transport properties of the interacting resonant level model
• Charge and spin dynamics in interacting quantum dots
• On the perturbative expansion of the magnetization in the out-of-equilibrium Kondo model
• Adiabatic Pumping in Interacting Systems
• Dynamical symmetry breaking in transport through molecules
• Luttinger liquids with boundaries: Power-laws and energy scales
• Real-time renormalization group in frequency space: A 2-loop analysis of the nonequilibrium anisotropic Kondo model at finite magnetic field
• Is the quantum dot at large bias a weak-coupling problem?
• Effects of charge-dependent vibrational frequencies and anharmonicities in transport through molecules
• Theory of a resonant level coupled to several conduction electron channels in equilibrium and out-of-equilibrium
• Out-of-Equilibrium Kondo Effect: Response to Pulsed Fields
• Gauge Fields, Geometric Phases, and Quantum Adiabatic Pumps
• Scaling behavior of impurities in mesoscopic Luttinger liquids
• Renormalization-group analysis of the one-dimensional extended Hubbard model with a single impurity
• Nuclear wave function interference in single-molecule electron transport
• Quantum Pumping in the Magnetic Field: Role of Discrete Symmetries
• How universal is the one-particle Green's function of a Luttinger liquid?
• Energy-resolved inelastic electron scattering off a magnetic impurity
• Phase lapses in transmission through interacting two-level quantum dots
• Tunneling through magnetic molecules with arbitrary angle between easy axis and magnetic field
• Spin Diode Behavior in Transport Through Single-Molecule Magnets
• Properties of multi-particle Green and vertex functions within Keldysh formalism
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• Real-time renormalization group and cutoff scales in nonequilibrium applied to an arbitrary quantum dot in the Coulomb blockade regime
• Phase coherence, inelastic scattering, and interaction corrections in pumping through quantum dots
• Pair-tunneling resonance in the single-electron transport regime
• Nonequilibrium Dynamics of Anisotropic Large Spins in the Kondo Regime: Time-Dependent Numerical Renormalization Group Analysis
• Non-Equilibrium Kondo Model with Voltage Bias in a Magnetic Field
• Acoustoelectric current and pumping in a ballistic quantum point contact
• Sequential Tunneling through Molecular Spin Rings
• Spin Effects and Transport in Quantum Dots with overlapping Resonances
• Dynamical symmetries in Kondo tunneling through complex quantum dots
• Transient dynamics of the nonequilibrium Majorana resonant level model
• Discrete charging of a quantum dot strongly coupled to external leads
• Cotunneling current through quantum dots with phonon-assisted spin-flip processes
• Kondo physics in transport through a quantum dot with Luttinger liquid leads
• Rectification in single molecular dimers with strong polaron effect
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• Berry-phase effects in transport through single Jahn-Teller molecules
• Transport signature of pseudo-Jahn-Teller dynamics in a single-molecule transistor
• Dissipative tunneling and orthogonality catastrophe in molecular transistors
• Diagrammatic real-time approach to adiabatic pumping through metallic single-electron devices
• A quantum criticality perspective on the charging of narrow quantum-dot levels
• Non-equilibrium magnetization dynamics of ferromagnetically coupled Kondo spins
• Vibrational detection and control of spin in mixed-valence molecular transistors
• Interference and interaction effects in adiabatic pumping through quantum dots
• Vibration-induced Kondo tunneling through metal-organic complexes with even electron occupation number
• Temperature induced phase averaging in one-dimensional mesoscopic systems
• Coupling-geometry-induced temperature scales in the conductance of Luttinger liquid wires

Cited by in corpus (65)

• Auxiliary master equation approach to non-equilibrium correlated impurities
• Density-operator approaches to transport through interacting quantum dots: Simplifications in fourth-order perturbation theory
• Non-equilibrium electronic transport in a one-dimensional Mott insulator
• Nonequilibrium Kondo model: Crossover from weak to strong coupling
• Auxiliary master equation approach within matrix product states: Spectral properties of the nonequilibrium Anderson impurity model
• Transport through an Anderson impurity: Current ringing, non-linear magnetization and a direct comparison of continuous-time quantum Monte Carlo and hierarchical quantum master equations
• Fingerprints of the local moment formation and its Kondo screening in the generalized susceptibilities of many-electron problems
• A renormalization-group analysis of the interacting resonant level model at finite bias: Generic analytic study of static properties and quench dynamics
• Comparative study of many-body perturbation theory and time-dependent density functional theory in the out-of-equilibrium Anderson model
• Time-convolutionless master equation for quantum dots: Perturbative expansion to arbitrary order
• Green's function methods for single molecule junctions
• Time scales in the dynamics of an interacting quantum dot
• Optimized auxiliary representation of a non-Markovian environment by a Lindblad equation
• Proximity effect on spin-dependent conductance and thermopower of correlated quantum dots
• Time-dependent quantum transport: causal superfermions, exact fermion-parity protected decay mode, and Pauli exclusion principle for mixed quantum states
• The formation of nonequilibrium steady states in interacting double quantum dots: When coherences dominate the charge distribution
• The probe technique far-from-equilibrium: Magnetic field symmetries of nonlinear transport
• Efficiency and power of a thermoelectric quantum dot device
• Nonadiabatic charge pumping by oscillating potentials in one dimension: results for infinite system and finite ring
• Padé approximants for improved finite-temperature spectral functions in the numerical renormalization group
• Transport mirages in single-molecule devices
• Kondo model in nonequilibrium: Interplay between voltage, temperature, and crossover from weak to strong coupling
• Five approaches to exact open-system dynamics: Complete positivity, divisibility and time-dependent observables
• Thermoelectric response of a correlated impurity in the nonequilibrium Kondo regime
• The interacting resonant level model in nonequilibrium: finite temperature effects
• Nonlinear adiabatic response of interacting quantum dots
• Inducing spin-correlations and entanglement in a double quantum dot through non-equilibrium transport
• RG transport theory for open quantum systems: Charge fluctuations in multilevel quantum dots in and out of equilibrium
• Quantitative determination of the discretization and truncation errors in the numerical renormalization-group calculations of spectral functions
• Current correlations for the transport of interacting electrons through parallel quantum dots in a photon cavity
• Magnetic field effects in few-level quantum dots: theory, and application to experiment
• Many-body localized molecular orbital approach to molecular transport
• Steady-state spectra, current and stability diagram of a quantum dot: a non-equilibrium Variational Cluster Approach
• A scalable numerical approach to the solution of the Dyson equation for the non-equilibrium single-particle Green's function
• Feynman-Vernon influence functional approach to quantum transport in interacting nanojunctions: An analytical hierarchical study
• Imaginary-time quantum many-body theory out of equilibrium I: Formal equivalence to Keldysh real-time theory and calculation of static properties
• Spatial structure of correlations around a quantum impurity at the edge of a two-dimensional topological insulator
• Limit-Cycles and Chaos in the Current Through a Quantum Dot
• Tunneling-induced renormalization in interacting quantum dots
• Hierarchical equations of motion approach to transport through an Anderson impurity coupled to interacting Luttinger liquid leads
• Flavor fluctuations in 3-level quantum dots: Generic SU(3)-Kondo fixed point in equilibrium and non-Kondo fixed points in nonequilibrium
• Dark states in spin-polarized transport through triple quantum dot molecules
• A unified diagrammatic approach to quantum transport in few-level junctions for bosonic and fermionic reservoirs: Application to the quantum Rabi model
• Semiclassical spin-spin dynamics and feedback control in transport through a quantum dot
• Master equation based steady-state cluster perturbation theory
• Spontaneous vortex state and $\phi$-junction in a superconducting bijunction with a localized spin
• The generic fixed point model for pseudo-spin-1/2 quantum dots in nonequilibrium: Spin-valve systems with compensating spin polarizations
• Strongly correlated charge transport in silicon MOSFET quantum dots
• Spectroscopy of the transition-rate matrix for molecular junctions: dynamics in the Franck-Condon regime
• Fluctuation-exchange approximation theory of the non-equilibrium singlet-triplet transition
• Non-equilibrium transport theory of the singlet-triplet transition: perturbative approach
• Spin and orbital fluctuations in non-equilibrium transport through quantum dots: A renormalisation-group analysis
• Adiabatic almost-topological pumping of fractional charges in non-interacting quantum dots
• Functional renormalization group study of parallel double quantum dots: Effects of asymmetric dot-lead couplings
• Keldysh Derivation of Oguri's Linear Conductance Formula for Interacting Fermions
• Non-equilibrium transport through a model quantum dot: Hartree-Fock approximation and beyond
• Tunnel magnetoresistance of a supramolecular spin valve
• Noise Spectroscopy with a Quantum Gas
• Nonadiabatic Correction and Adiabatic Criteria of Noninteracting Quantum Dot Systems
• Non-equilibrium Green's functions and their relation to the negative differential conductance in the interacting resonant level model
• Geometrical optimization of pumping power under adiabatic parameter driving
• Charge order in an interacting monolayer under transverse bias
• Coherent and Dissipative Spin Torques in Quantum Dots: A Unified Framework for Quantum Spin Dynamics
• Universal distribution of magnetic anisotropy of impurities in ordered and disordered nano-grains
• Charge density wave breakdown in a heterostructure with electron-phonon coupling