Ground-State Decay Rate for the Zener Breakdown in Band and Mott Insulators

Abstract

Non-linear transport of electrons in strong electric fields, as typified by dielectric breakdown, is re-formulated in terms of the ground-state decay rate originally studied by Schwinger in non-linear QED. We discuss the effect of electron interaction on Zener tunneling by comparing the dielectric breakdown of the band insulator and the Mott insulator, where the latter is studied by the time-dependent density-matrix renormalization group (DMRG). The relation with the Berry's phase theory of polarization is also established.

arXiv comment5 pages 2 figures, revised text, version to appear in Phys. Rev. Lett

References in corpus (9)

• Efficient simulation of one-dimensional quantum many-body systems
• Real time evolution using the density matrix renormalization group
• The Quantum-Mechanical Position Operator in Extended Systems
• Electron Localization in the Insulating State
• Breakdown of a Mott insulator -- non-adiabatic tunneling mechanism
• From Reversible Quantum Microdynamics to Irreversible Quantum Transport
• Breakdown of an Electric-Field Driven System: a Mapping to a Quantum Walk
• Lattice Twisting Operators and Vertex Operators in Sine-Gordon Theory in One Dimension
• Quantum-Mechanical Non-Perturbative Response of Driven Chaotic Mesoscopic Systems

Cited by in corpus (105)

• Photovoltaic Hall effect in graphene
• Floquet Engineering of Quantum Materials
• Nonequilibrium dynamical mean-field theory and its applications
• Exploring Topological Phases With Quantum Walks
• Ultrafast optical spectroscopy of strongly correlated materials and high-temperature superconductors: a non-equilibrium approach
• New Trends in Density Matrix Renormalization
• Strongly Correlated Materials
• Electric-field-driven phase transition in vanadium dioxide
• Universal electric-field-driven resistive transition in narrow-gap Mott insulators
• Dielectric breakdown of Mott insulators in dynamical mean-field theory
• Resistive switching induced by electronic avalanche breakdown in GaTa${}_4$Se${}_{8-x}$Te${}_x$ narrow gap Mott Insulators
• Non-Thermal Resistive Switching in Mott Insulators
• Non-linear doublon production in a Mott insulator --- Landau-Dykhne method applied to an integrable model
• Quenching Bloch oscillations in a strongly correlated material
• Exact Nonequilibrium Steady State of an Open Hubbard Chain
• Non-equilibrium electronic transport in a one-dimensional Mott insulator
• Nonequilibrium dynamics of the Holstein polaron driven by external electric field
• Dielectric Breakdown in a Mott Insulator: Many-body Schwinger-Landau-Zener Mechanism studied with a Generalized Bethe Ansatz
• Mechanism of Ultrafast Relaxation of a Photo-Carrier in Antiferromagnetic Spin Background
• Tunneling Breakdown of a Strongly Correlated Insulating State in VO${}_2$ Induced by Intense Multi-Terahertz Excitation
• High-order Harmonic Generation and its Unconventional Scaling Law in the Mott-insulating $\mathrm{C}{\mathrm{a}}_2\mathrm{Ru}{\mathrm{O}}_4$
• Non-equilibrium dynamics of the driven Hubbard model
• Nonequilibrium quantum dynamics of a charge carrier doped into a Mott insulator
• Dimensional Crossover Driven by an Electric Field
• Field-induced metal-insulator transition and switching phenomenon in correlated insulators
• Dynamics of the Density Matrix in Contact with a Thermal Bath and the Quantum Master Equation
• Nonequilibrium steady states of electric-field driven Mott insulators
• Vacuum Instability in Electric Fields via AdS/CFT: Euler-Heisenberg Lagrangian and Planckian Thermalization
• The Schwinger pair production rate in confining theories via holography
• Enhanced charge order in a photoexcited one-dimensional strongly correlated system
• Nonequilibrium steady states of the electric-field-driven Mott insulator: Thermalization, emergent Wannier-Stark ladder, and dielectric breakdown
• Quantum Dynamics of a Driven Correlated System Coupled to Phonons
• Integrable Mott insulators driven by finite electric field
• Dielectric Breakdown of a Mott Insulator
• Dielectric breakdown in spin polarized Mott insulator
• Electronic transport and dynamics in correlated heterostructures
• Non-destructive cavity QED probe of Bloch oscillations in a gas of ultracold atoms
• Parametric instability in periodically driven Luttinger liquids
• Nonequilibrium Mean-Field Theory of Resistive Phase Transitions
• Dielectric breakdown of Mott insulators -- doublon production and doublon heating
• Photo-induced nonequilibrium states in Mott insulators
• Keldysh space control of charge dynamics in a strongly driven Mott insulator
• Transient Carrier Dynamics in a Mott Insulator with Antiferromagnetic Order
• Tunneling spin current in a system with spin degeneracy
• Photoinduced charge-order melting dynamics in a one-dimensional interacting Holstein model
• Analog Sauter-Schwinger effect in semiconductors for spacetime-dependent fields
• Nonequilibrium sum rules for the retarded self-energy of strongly correlated electrons
• Photo-induced Tomonaga-Luttinger-like liquid in a Mott insulator
• Interacting Fermionic Atoms in Optical Lattices Diffuse Symmetrically Upwards and Downwards in a Gravitational Potential
• Nonadiabatic Nonlinear Optics and Quantum Geometry -- Application to the Twisted Schwinger Effect
• Nonequilibrium perturbation theory of the spinless Falicov-Kimball model
• Universal non-linear conductivity near to an itinerant-electron ferromagnetic quantum critical point
• Nonequilibrium Current in the One Dimensional Hubbard Model at Half-Filling
• Magnetoelectric generation of a Majorana-Fermi surface in Kitaev's honeycomb model
• Energy dissipation in DC-field driven electron lattice coupled to fermion baths
• Nonequilibrium propagation and decay of a bound pair in driven t-J models
• Inertial mechanism: dynamical mass as a source of particle creation
• Crossover from bias-induced to field-induced breakdowns in one-dimensional band and Mott insulators attached to electrodes
• Ultrafast Laser Driven Many-Body Dynamics and Kondo Coherence Collapse
• Photoinduced enhancement of bond-order in the one-dimensional extended Hubbard model
• Correlated Mott insulators in strong electric fields: Role of phonons in heat dissipation
• Mott insulator breakdown through pattern formation
• Non-adiabatic extension of the Zak phase and charge pumping in the Rice--Mele model
• Inhibition of spreading in quantum random walks due to quenched Poisson-distributed disorder
• Nonequilibrium RIXS study of an electron-phonon model
• Topological order versus many-body localization in periodically modulated spin chains
• Quantum Sensing of Insulator-to-Metal Transitions in a Mott Insulator
• Glassy dynamics of the one-dimensional Mott insulator excited by a strong terahertz pulse
• Revealing Hund's multiplets in Mott insulators under strong electric fields
• Nanostructure Investigations of Nonlinear Differential Conductance in NdNiO${}_3$ Thin Films
• Peltier effect in strongly driven quantum wires
• Keldysh field theory of a driven dissipative Mott insulator: nonequilibrium response and phase transitions
• Landau-Zener tunneling problem for Bloch states
• Quantum tunnelling from vacuum in multidimensions
• Quantification of the memory effect of steady-state currents from interaction-induced transport in quantum systems
• Quantum Walk Topology and Spontaneous Parametric Down Conversion
• Anomalous suppression of photo-induced in-gap weight in the optical conductivity of a two-leg Hubbard ladder
• Analysis of time-resolved single-particle spectrum on the one-dimensional extended Hubbard model
• Photoinduced charge carrier dynamics in Hubbard two-leg ladders and chains
• Euclidean mirrors: enhanced vacuum decay from reflected instantons
• Spin-Depairing Transition of Attractive Fermi Gases on a Ring Driven by Synthetic Gauge Fields
• Non-linear response to electric field in extended Hubbard models
• Strong terahertz third-harmonic generation by kinetic heavy quasiparticles in CaRuO${}_3$
• Characterization of photoexcited states in the half-filled one-dimensional extended Hubbard model assisted by machine learning
• Hubbard ring: currents induced by change of magnetic flux
• Keldysh crossover in one-dimensional Mott insulators
• Statistical distribution of the electric field driven switching of the Verwey state in Fe3O4
• Spatial behavior in a Mott insulator near the voltage-driven resistive transition
• Light-wave coherent control of the insulator-to-metal transition in a strongly correlated material
• Sine-Gordon dynamics in spin transport
• Phases of translation-invariant systems out of equilibrium: Iterative Green's function techniques and renormalization group approaches
• Electric field induced Mott-insulator to metal transition and memristive behaviour in epitaxial V${}_2$O${}_3$ thin film
• Optical imaging of strain-mediated phase coexistence during electrothermal switching in a Mott insulator
• Charge creation via quantum tunneling in one-dimensional Mott insulators: A numerical study of the extended Hubbard model
• Photoinduced Frustration Modulation in $\kappa$-type Quantum Spin Liquid Candidates
• Nonequilibrium thermal state of a voltage-biased Mott insulator
• Condensed-matter analogs of the Sauter--Schwinger effect
• A scaling theory of quantum breakdown in solids
• Energy current and energy fluctuations in driven quantum wires
• Unraveling the physics of topological phases with random walks of light
• DC electric field driven discretization of single-particle excitation spectra in a Mott insulator
• Probing dielectric breakdown in Mott insulators through current oscillations
• Confinement Phase in Carbon-Nanotubes and the Extended Massive Schwinger Model
• Geometric Effects on Tunneling in Driven Quantum Systems
• Charge density wave breakdown in a heterostructure with electron-phonon coupling