Twofold advance in the theoretical understanding of far-from-equilibrium properties of interacting nanostructures

Abstract

We calculate the full $I-V$ characteristics at vanishing temperature in the self-dual interacting resonant level model in two ways. The first uses careful time dependent DMRG with large number of states per block and a representation of the reservoirs as leads subjected to a chemical potential. The other is based on integrability in the continuum limit, and generalizes early work of Fendley Ludwig Saleur on the boundary sine-Gordon model. The two approaches are in excellent agreement, and uncover among other things a power law decay of the current at large voltages when $U>0$.

arXiv comment4 pages, 3 figures ; published version

References in corpus (13)

• Kondo Physics in a Single Electron Transistor
• Real time evolution using the density matrix renormalization group
• Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
• From the Kondo Regime to the Mixed-Valence Regime in a Single-Electron Transistor
• Exact Conductance through Point Contacts in the $\nu =1/3$ Fractional Quantum Hall Effect
• Exact non-equilibrium transport through point contacts in quantum wires and fractional quantum Hall devices
• Nonequilibrium electron transport using the density matrix renormalization group
• Nonequilibrium Transport in Quantum Impurity Models (Bethe-Ansatz for open systems)
• Diagonalization- and Numerical Renormalization-Group-Based Methods for Interacting Quantum Systems
• Universal aspects of non-equilibrium currents in a quantum dot
• New method for studying steady states in quantum impurity problems: The interacting resonant level model
• Exact low temperature results for transport properties of the interacting resonant level model
• Strong enhancement of transport by interaction on contact links

Cited by in corpus (137)

• Functional renormalization group approach to correlated fermion systems
• Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
• Real-time simulations of nonequilibrium transport in the single-impurity Anderson model
• Comparative study of theoretical methods for nonequilibrium quantum transport
• Nonequilibrium functional RG with frequency dependent vertex function: A study of the single impurity Anderson model
• Nonequilibrium thermal transport and its relation to linear response
• Charge transport through single molecules, quantum dots, and quantum wires
• Non-equilibrium steady states in the Klein-Gordon theory
• Reducing the numerical effort of finite-temperature density matrix renormalization group transport calculations
• Non-equilibrium electronic transport in a one-dimensional Mott insulator
• Theory of non-equilibrium transport in the SU(N) Kondo regime
• Nonequilibrium Steady-State Transport in Quantum Impurity Models: a Thermofield and Quantum Quench Approach using Matrix Product States
• Kondo memory in driven strongly-correlated quantum dots
• A renormalization group approach to time dependent transport through correlated quantum dots
• Lindblad-Driven Discretized Leads for Non-Equilibrium Steady-State Transport in Quantum Impurity Models: Recovering the Continuum Limit
• Non-equilibrium current and relaxation dynamics of a charge-fluctuating quantum dot
• Functional renormalization group study of the interacting resonant level model in and out of equilibrium
• 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
• Nonequilibrium quantum dynamics of a charge carrier doped into a Mott insulator
• Universal quench dynamics of interacting quantum impurity systems
• Time-reversal symmetry and fluctuation relations in non-equilibrium quantum steady states
• Periodically refreshed baths to simulate open quantum many-body dynamics
• Full counting statistics in the self-dual interacting resonant level model
• Out-of-equilibrium dynamics in a quantum impurity model: numerics for particle transport and entanglement entropy
• Exact scattering eigenstates, many-body bound states, and nonequilibrium current of an open quantum dot system
• Nonlinear current response of an isolated system of interacting fermions
• Expansion potentials for exact far-from-equilibrium spreading of particles and energy
• Nonequilibrium, spatio-temporal formation of the Kondo screening-cloud on a lattice
• Hybrid NRG-DMRG approach to real-time dynamics of quantum impurity systems
• Numerical evaluation of Greens functions based on the Chebyshev expansion
• Renormalized Lindblad Driving: A Numerically-Exact Nonequilibrium Quantum Impurity Solver
• Nonequilibrium electron transport in strongly correlated molecular junctions
• Comparison between scattering-states numerical renormalization group and the Kadanoff-Baym-Keldysh approach to quantum transport: Crossover from weak to strong correlations
• Exactly Solved Model for an Electronic Mach-Zehnder Interferometer
• Numerical Evaluation of Shot Noise using Real Time Simulations
• Shot noise in the self-dual Interacting Resonant Level Model
• Thermodynamic Bethe ansatz for non-equilibrium steady states: exact energy current and fluctuations in integrable QFT
• Non-equilibrium transport at a dissipative quantum phase transition
• Solution of electric-field-driven tight-binding lattice in contact with fermion reservoir
• Non-Equilibrium Kondo Model with Voltage Bias in a Magnetic Field
• Non-Hermitian quantum impurity systems in and out of equilibrium: noninteracting case
• Transient dynamics of the nonequilibrium Majorana resonant level model
• Quantum theory of light scattering in a one-dimensional channel: Interaction effect on photon statistics and entanglement entropy
• Coherent control of correlated nanodevices: A hybrid time-dependent numerical renormalization-group approach to periodic switching
• The interacting resonant level model in nonequilibrium: finite temperature effects
• Strong quantum memory at resonant Fermi edges revealed by shot noise
• Flow Equation Calculation of Transient and Steady State Currents in the Anderson Impurity Model
• Nonlinear adiabatic response of interacting quantum dots
• Sources of negative differential resistance in electric nanotransport
• Renormalization in periodically driven quantum dots
• Transport through quantum dots: A combined DMRG and cluster-embedding study
• Effective Equilibrium Theory of Nonequilibrium Quantum Transport
• Inducing spin-correlations and entanglement in a double quantum dot through non-equilibrium transport
• Dynamical spin-spin correlation functions in the Kondo model out of equilibrium
• Nonequilibrium Kondo effect in a magnetic field: Auxiliary master equation approach
• Effective Equilibrium Description of Nonequilibrium Quantum Transport I: Fundamentals and Methodology
• Numerical method for non-linear steady-state transport in one-dimensional correlated conductors
• Imaginary-time formulation of steady-state nonequilibrium in quantum dot models
• Exact time-dependent density functional theory for impurity models
• Is spin-charge separation observable in a transport experiment?
• Nonequilibrium Current in the One Dimensional Hubbard Model at Half-Filling
• Quantum fluctuation theorem in an interacting setup: point contacts in fractional quantum Hall edge state devices
• Real-space structure of the impurity screening cloud in the Resonant Level Model
• Time-Dependent and Steady-State Gutzwiller approach for nonequilibrium transport in nanostructures
• Build-up of the Kondo effect from real-time 2PI effective action for the Anderson impurity model
• Non-Equilibrium Scaling Analysis of the Kondo Model with Voltage Bias
• Strongly-Correlated Thermoelectric Transport beyond Linear Response
• Out-of-equilibrium properties and non-linear effects for interacting quantum impurity systems in their strong coupling regime
• Imaginary-time quantum many-body theory out of equilibrium I: Formal equivalence to Keldysh real-time theory and calculation of static properties
• Full counting statistics in the not-so-long-time limit
• Steady-state and quench dependent relaxation of a quantum dot coupled to one-dimensional leads
• The Ohmic two-state system from the perspective of the interacting resonant level model: Thermodynamics and transient dynamics
• Functional renormalization group in Floquet space
• Exact equilibrium results in the Interacting Resonant Level Model
• From thermal equilibrium to nonequilibrium quench dynamics: A conserving approximation for the interacting resonant level
• Nonequilibrium charge transport in an interacting open system: two-particle resonance and current asymmetry
• Light propagation through one-dimensional interacting open quantum systems
• Transient dynamics and steady state behavior of the Anderson-Holstein model with a superconducting lead
• Non-equilibrium thermal transport and vacuum expansion in the Hubbard model
• Time-dependent quantum transport through an interacting quantum dot beyond sequential tunneling: second-order quantum rate equations
• Non-equilibrium quantum transport through a dissipative resonant level
• Non-equilibrium Properties of Berezinskii-Kosterlitz-Thouless Phase Transitions
• Transient dynamics of a magnetic impurity coupled to superconducting electrodes: exact numerics versus perturbation theory
• Accumulative reservoir construction: Bridging continuously relaxed and periodically refreshed extended reservoirs
• Transport through a quantum dot with two parallel Luttinger liquid leads
• Infinite Grassmann Time-Evolving Matrix Product Operator Method in the Steady State
• Transport through nanostructures: Finite time vs. finite size
• Edge Physics of the Quantum Spin Hall Insulator from a Quantum Dot Excited by Optical Absorption
• Perturbative treatment of the multichannel interacting resonant level model in steady state non-equilibrium
• Iterative path-integral summations for the tunneling magnetoresistance in interacting quantum-dot spin valves
• Simulations of the dynamics of quantum impurity problems with matrix product states
• Density-matrix renormalization group method for the conductance of one-dimensional correlated systems using the Kubo formula
• Time-dependent electron transport through a strongly correlated quantum dot: multiple-probe open boundary conditions approach
• Non-equilibrium Transport in the Anderson model of a biased Quantum Dot: Scattering Bethe Ansatz Phenomenology
• Tunable Kondo-Luttinger systems far from equilibrium
• Double Occupancy and Magnetic Susceptibility of the Anderson Impurity Model out of Equilibrium
• Universal electric current of interacting resonant-level models with asymmetric interactions: An extension of the Landauer formula
• Auxiliary master equation approach within stochastic wave functions: Application to the Interacting Resonant Level Model
• Real-time effective-action approach to the Anderson quantum dot
• Out-of-equilibrium transport in the interacting resonant level model: the surprising relevance of the boundary sine-Gordon model
• The excitation operator approach to non-Markovian dynamics of quantum impurity models in the Kondo regime
• Spin Andreev-like reflection in metal-Mott insulator heterostructures
• Transport through a magnetic impurity: a slave-spin approach
• Integrable Impurities as Boundary Conditions
• Decoherence of an entangled state of a strongly-correlated double quantum dot structure through tunneling processes
• Two-wire Junction of Inequivalent Tomonaga-Luttinger Liquids
• Symmetric and asymmetric charge transport in interacting asymmetric quantum impurities
• Nonlinear Transport through Quantum Dots Studied by the Time-Dependent DMRG
• The excitation operator method in the spin dynamics of the one-dimensional XXZ model
• Fluctuation-exchange approximation theory of the non-equilibrium singlet-triplet transition
• Efficient impurity-bath trial states from superposed Slater determinants
• Non-equilibrium transport theory of the singlet-triplet transition: perturbative approach
• Many-body wavefunctions for quantum impurities out of equilibrium. II. Charge fluctuations
• Energy and particle currents in a driven integrable system
• Scattering matrix approach to interacting electron transport
• Spin and orbital fluctuations in non-equilibrium transport through quantum dots: A renormalisation-group analysis
• Finite-bias transport through the interacting resonant level model coupled to a phonon mode -- a functional renormalization group study
• The embedding method beyond the single-channel case: Two-mode and Hubbard chains
• Restoring the continuum limit in the time-dependent numerical renormalization group approach
• Transport through two interacting resonant levels connected by a Fermi sea
• Conductance of correlated many-fermion systems from charge fluctuations
• Realizing the interacting resonant level model using a quantum dot detector
• Non-equilibrium transport through a model quantum dot: Hartree-Fock approximation and beyond
• Finite-frequency noise in a non-interacting quantum dot
• Long-lived circulating currents in strongly correlated nanorings
• Current noise of the interacting resonant level model
• Coarsening of Disordered Quantum Rotors under a Bias Voltage
• Phases of translation-invariant systems out of equilibrium: Iterative Green's function techniques and renormalization group approaches
• Non-equilibrium Green's functions and their relation to the negative differential conductance in the interacting resonant level model
• Local density of states of the interacting resonant level model at zero temperature
• A quantum dynamics method for excited electrons in molecular aggregate system using a group diabatic Fock matrix
• Universal Scaling of the Quantum Conductance of an Inversion-Symmetric Interacting Model
• Exact time-evolving scattering states in open quantum-dot systems with an interaction: Discovery of time-evolving resonant states
• Matrix product state simulations of quantum quenches and transport in Coulomb blockaded superconducting devices
• A minimalistic diode
• On the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas