Non-equilibrium electronic transport in a one-dimensional Mott insulator
arXiv:1008.0101 · doi:10.1103/PhysRevB.82.205110
Abstract
We calculate the non-equilibrium electronic transport properties of a one-dimensional interacting chain at half filling, coupled to non-interacting leads. The interacting chain is initially in a Mott insulator state that is driven out of equilibrium by applying a strong bias voltage between the leads. For bias voltages above a certain threshold we observe the breakdown of the Mott insulator state and the establishment of a steady-state electronic current through the system. Based on extensive time-dependent density matrix renormalization group simulations, we show that this steady-state current always has the same functional dependence on voltage, independent of the microscopic details of the model and relate the value of the threshold to the Lieb-Wu gap. We frame our results in terms of the Landau-Zener dielectric breakdown picture. Finally, we also discuss the real-time evolution of the current, and characterize the current-carrying state resulting from the breakdown of the Mott insulator by computing the double occupancy, the spin structure factor, and the entanglement entropy.
12 pages RevTex4, 12 eps figures, as published, minor revisions
References in corpus (63)
- Many-Body Physics with Ultracold Gases
- The density-matrix renormalization group
- Area laws for the entanglement entropy - a review
- Time-dependent transport in interacting and non-interacting mesoscopic systems
- Electron transport through double quantum dots
- Real time evolution using the density matrix renormalization group
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
- The Kondo Effect in the Unitary Limit
- Quantum Quenches in Extended Systems
- Coulomb Interactions and Mesoscopic Effects in Carbon Nanotubes
- Entanglement Entropy dynamics in Heisenberg chains
- Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
- Matrix product simulations of non-equilibrium steady states of quantum spin chains
- On steady-state currents through nano-devices: a scattering-states numerical renormalization group approach to open quantum systems
- Iterative real-time path integral approach to nonequilibrium quantum transport
- Evolution of entanglement after a local quench
- Real-time simulations of nonequilibrium transport in the single-impurity Anderson model
- Twofold advance in the theoretical understanding of far-from-equilibrium properties of interacting nanostructures
- Breakdown of a Mott insulator -- non-adiabatic tunneling mechanism
- Ground-State Decay Rate for the Zener Breakdown in Band and Mott Insulators
- Correlation Effects in Carbon Nanotubes
- Universal Scaling in Non-equilibrium Transport Through a Single-Channel Kondo Dot
- Dielectric breakdown of Mott insulators in dynamical mean-field theory
- Weak-coupling quantum Monte Carlo calculations on the Keldysh contour: theory and application to the current-voltage characteristics of the Anderson model
- Low Energy Properties of the (n,n) Carbon Nanotubes
- Comparative study of theoretical methods for nonequilibrium quantum transport
- Charge and spin transport in strongly correlated one-dimensional quantum systems driven far from equilibrium
- Metastable superfluidity of repulsive fermionic atoms in optical lattices
- Transient dynamics of the Anderson impurity model out of equilibrium
- Nonequilibrium functional RG with frequency dependent vertex function: A study of the single impurity Anderson model
- Breakdown of an Electric-Field Driven System: a Mapping to a Quantum Walk
- Charge transport through single molecules, quantum dots, and quantum wires
- Transport properties and Kondo correlations in nanostructures: the time-dependent DMRG method applied to quantum dots coupled to Wilson chains
- Quantum distillation: dynamical generation of low-entropy states of strongly correlated fermions in an optical lattice
- Breakdown of the Mott insulator: Exact solution of an asymmetric Hubbard model
- Applying Adaptive Time-Dependent DMRG to Calculate the Conductance of Strongly Correlated Nanostructures
- Relaxation vs decoherence: Spin and current dynamics in the anisotropic Kondo model at finite bias and magnetic field
- Dielectric Breakdown in a Mott Insulator: Many-body Schwinger-Landau-Zener Mechanism studied with a Generalized Bethe Ansatz
- Universal Scaling of Nonequilibrium Transport in the Kondo Regime of Single Molecule Devices
- Non-equilibrium current and relaxation dynamics of a charge-fluctuating quantum dot
- Real-Time Dynamics in Quantum Impurity Models with Diagrammatic Monte Carlo
- Transport in open spin chains: A Monte Carlo wave-function approach
- Excitons in the One-Dimensional Hubbard Model: a Real-Time Study
- Negative differential conductivity in far-from-equilibrium quantum spin chains
- Entanglement in spin chains with gradients
- New theoretical approaches for correlated systems in nonequilibrium
- Ground-state reference systems for expanding correlated fermions in one dimension
- Out-of-Equilibrium Kondo Effect: Response to Pulsed Fields
- Time-dependent DMRG Study on Quantum Dot under a Finite Bias Voltage
- Nonequilibrium Transport through Double Quantum Dots: Exact Results near Quantum Critical Point
- Quasi-particle description for the transport through a small interacting system
- Universality of electron correlations in conducting carbon nanotubes
- Transport through a finite Hubbard chain connected to reservoirs
- Nonequilibrium transport and optical properties of model metal--Mott-insulator--metal heterostructures
- Correlation Effects of Single-Wall Carbon Nanotubes in Weak Coupling
- Coulomb Blockade Regime of a Single-Wall Nanotube
- Non-equilibrium transport through a point contact in the non-Abelian quantum Hall state
- Transport through quantum dots: A combined DMRG and cluster-embedding study
- Real-time dynamics of particle-hole excitations in Mott insulator-metal junctions
- Nonequilibrium Current in the One Dimensional Hubbard Model at Half-Filling
- Nonlinear Transport in One-Dimensional Mott Insulator in Strong Electric Fields
- External Electric Field Mediated Quantum Phase Transitions in One-Dimensional Charge Ordered Insulators: A DMRG Study
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- Quantum transport in ultracold atoms
- Universal electric-field-driven resistive transition in narrow-gap Mott insulators
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- Tunneling Breakdown of a Strongly Correlated Insulating State in VO Induced by Intense Multi-Terahertz Excitation
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- Quantum Dynamics of a Driven Correlated System Coupled to Phonons
- Nonequilibrium steady states of the electric-field-driven Mott insulator: Thermalization, emergent Wannier-Stark ladder, and dielectric breakdown
- Variational principle for quantum impurity systems in and out of equilibrium: application to Kondo problems
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- Dielectric breakdown of Mott insulators -- doublon production and doublon heating
- Photo-induced nonequilibrium states in Mott insulators
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- Photoinduced charge-order melting dynamics in a one-dimensional interacting Holstein model
- Inducing spin-correlations and entanglement in a double quantum dot through non-equilibrium transport
- Numerical method for non-linear steady-state transport in one-dimensional correlated conductors
- Interacting Fermionic Atoms in Optical Lattices Diffuse Symmetrically Upwards and Downwards in a Gravitational Potential
- Exact asymptotics of the current in boundary dissipated quantum chains in large external fields
- Quantum Criticality and Population Trapping of Fermions by Non-Equilibrium Lattice Modulations
- Steady-state spectra, current and stability diagram of a quantum dot: a non-equilibrium Variational Cluster Approach
- Time Evolution with the DMRG Algorithm: A Generic Implementation for Strongly Correlated Electronic Systems
- Photoinduced Hund excitons in the breakdown of a two-orbital Mott insulator
- Nonequilibrium propagation and decay of a bound pair in driven t-J models
- Time-dependent bond-current functional theory for lattice Hamiltonians: fundamental theorem and application to electron transport
- Current characteristics of a one-dimensional Hubbard chain: The role of correlation and dissipation
- Quantum spin torque driven transmutation of antiferromagnetic Mott insulator
- Spin transport through a spin-1/2 XXZ chain contacted to fermionic leads
- Steady-state and quench dependent relaxation of a quantum dot coupled to one-dimensional leads
- Crossover from bias-induced to field-induced breakdowns in one-dimensional band and Mott insulators attached to electrodes
- Phase-induced transport in atomic gases: from superfluid to Mott insulator
- Quantum computing Floquet energy spectra
- Out-of-equilibrium Correlated Systems : Bipartite Entanglement as a Probe of Thermalization
- Transient dynamics of a magnetic impurity coupled to superconducting electrodes: exact numerics versus perturbation theory
- Current response of nonequilibrium steady states in Landau-Zener problem: Nonequilibrium Green's function approach
- Mott insulator breakdown through pattern formation
- Density-matrix renormalization group method for the conductance of one-dimensional correlated systems using the Kubo formula
- Peltier effect in strongly driven quantum wires
- Keldysh field theory of a driven dissipative Mott insulator: nonequilibrium response and phase transitions
- Unexpected linear conductivity in Landau-Zener model: limitations and improvements of the relaxation time approximation in the quantum master equation
- Quantification of the memory effect of steady-state currents from interaction-induced transport in quantum systems
- Two-wire Junction of Inequivalent Tomonaga-Luttinger Liquids
- Non-linear response to electric field in extended Hubbard models
- Decoherence of an entangled state of a strongly-correlated double quantum dot structure through tunneling processes
- Energy and particle currents in a driven integrable system
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- Spatial behavior in a Mott insulator near the voltage-driven resistive transition
- Roles of Potential Gradient and Electrode Bandwidth on Negative Differential Resistance in One-Dimensional Band Insulator
- Sine-Gordon dynamics in spin transport
- Phases of translation-invariant systems out of equilibrium: Iterative Green's function techniques and renormalization group approaches
- The numerical operator method to the real time dynamics of currents through the nanostructures with different topologies
- Charge order and possible bias-induced metastable state in the organic conductor β-(meso-DMBEDT-TTF)2PF6: effects of structural distortion
- Nonequilibrium thermal state of a voltage-biased Mott insulator
- Charge creation via quantum tunneling in one-dimensional Mott insulators: A numerical study of the extended Hubbard model
- Matrix product state simulations of quantum quenches and transport in Coulomb blockaded superconducting devices
- Optical imaging of strain-mediated phase coexistence during electrothermal switching in a Mott insulator
- Critical behavior at the dynamic Mott transition
- Probing dielectric breakdown in Mott insulators through current oscillations
- Charge density wave breakdown in a heterostructure with electron-phonon coupling