Nonequilibrium Quantum Critical Steady State: Transport Through a Dissipative Resonant Level

Abstract

Nonequilibrium properties of correlated quantum matter are being intensively investigated because of the rich interplay between external driving and the many-body correlations. Of particular interest is the nonequilibrium behavior near a quantum critical point (QCP), where the system is delicately balanced between different ground states. We present both an analytical calculation of the nonequilibrium steady-state current in a critical system and experimental results to which the theory is compared. The system is a quantum dot coupled to resistive leads: a spinless resonant level interacting with an ohmic dissipative environment. A two channel Kondo-like QCP occurs when the level is on resonance and symmetrically coupled to the leads, conditions achieved by fine-tuning using electrostatic gates. We calculate and measure the nonlinear current as a function of bias ($I$-$V$ curve) at the critical values of the gate voltages corresponding to the QCP. The quantitative agreement between the experimental data and the theory, with no fitting parameter, is excellent. As our system is fully accessible to both theory and experiment, it provides an ideal setting for addressing nonequilibrium phenomena in correlated quantum matter.

arXiv commentversion accepted by Phys. Rev. Research; arguments extended and clarified; 12 pages + references + 1 page supplemental

References in corpus (81)

• Nonequilibrium dynamics of closed interacting quantum systems
• Bosonization and Strongly Correlated Systems
• Quantum many-body systems out of equilibrium
• Nonequilibrium dynamical mean-field theory and its applications
• The Statistical Theory of Quantum Dots
• Landauer Conductance of Luttinger Liquids with Leads
• Transport in an inhomogeneous interacting one--dimensional system
• Observation of the two-channel Kondo effect
• Dynamics of Inhomogeneous Tomonaga-Luttinger Liquid Wire
• Is there a renormalization of the 1D conductance in Luttinger Liquid model?
• Introduction to Quantum Electromagnetic Circuits
• Exact non-equilibrium transport through point contacts in quantum wires and fractional quantum Hall devices
• Josephson and Andreev transport through quantum dots
• Coherent control of single electrons: a review of current progress
• Electron shot noise beyond the second moment
• Non-Equilibrium Transport through a Kondo-Dot in a Magnetic Field: Perturbation Theory and Poor Man's Scaling
• Tunneling Spectroscopy of Quasiparticle Bound States in a Spinful Josephson Junction
• Two-channel Kondo effect and renormalization flow with macroscopic quantum charge states
• Impurity Quantum Phase Transitions
• Tunneling in Quantum Wires: a Boundary Conformal Field Theory Approach
• Resonant tunneling through a quantum dot weakly coupled to quantum wires or quantum Hall edge states
• Tunable Quantum Criticality and Super-ballistic Transport in a `Charge' Kondo Circuit
• What lurks below the last plateau: Experimental studies of the 0.7 x 2e^2/h conductance anomaly in one-dimensional systems
• A one-channel conductor in an ohmic environment: mapping to a TLL and full counting statistics
• Non-equilibrium dynamics of the Anderson impurity model
• Universal Fermi liquid crossover and quantum criticality in a mesoscopic device
• Evolution of SU(4) Transport Regimes in Carbon Nanotube Quantum Dots
• Quantum Phase Transition in a Resonant Level Coupled to Interacting Leads
• Quantum phase transition in a two-channel-Kondo quantum dot device
• Probing the Kondo density of states in a three-terminal quantum ring
• Resonant tunneling of interacting electrons in a one-dimensional wire
• Quantum phase transitions in heavy fermion metals and Kondo insulators
• The Kondo Effect in Non-Equilibrium Quantum Dots: Perturbative Renormalization Group
• Tomonaga-Luttinger physics in electronic quantum circuits
• 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
• Transport of interacting electrons through a double barrier in quantum wires
• Observation of Majorana Quantum Critical Behavior in a Resonant Level Coupled to a Dissipative Environment
• Nonlinear Conductance for the Two Channel Anderson Model
• Universal transport signatures in two-electron molecular quantum dots: gate-tunable Hund's rule, underscreened Kondo effect and quantum phase transitions
• Unification of electromagnetic noise and Luttinger liquid via a quantum dot
• Driven dissipative dynamics and topology of quantum impurity systems
• Resonant tunnelling between Luttinger liquids: solvable case
• Universal quench dynamics of interacting quantum impurity systems
• Resonant tunneling and the multichannel Kondo problem: the quantum Brownian motion description
• Universality and scaling in a charge two-channel Kondo device
• Circuit Quantum Simulation of a Tomonaga-Luttinger Liquid with an Impurity
• Nonequilibrium Transport through Double Quantum Dots: Exact Results near Quantum Critical Point
• Correlation effects on resonant tunneling in one-dimensional quantum wires
• Charge Fractionalization in a Kondo Device
• Non-equilibrium transport at a dissipative quantum phase transition
• Quantum Impurity Problems in Condensed Matter Physics
• Quantum Criticality out of Equilibrium: Steady State in a Magnetic Single-Electron Transistor
• Nonequilibrium Critical Behavior for Electron Tunneling through Quantum Dots in an Aharonov-Bohm Circuit
• Comparing conductance quantization in quantum wires and Quantum Hall systems
• Duality between different geometries of a resonant level in a Luttinger liquid
• Dissipation-induced quantum phase transition in a quantum box
• Exact nonequilibrium transport in the topological Kondo effect
• Dynamical simulation of transport in one-dimensional quantum wires
• On the applicability of bosonization and the Anderson-Yuval methods at the strong-coupling limit of quantum impurity problems
• Resonant Tunneling in a Dissipative Environment
• Observation of Strong Coulomb Blockade in Resistively Isolated Tunnel Junctions
• Tunable Quantum Phase Transitions in a Resonant Level Coupled to Two Dissipative Baths
• The 2-Channel Kondo Model II: CFT Calculation of Non-Equilibrium Conductance through a Nanoconstriction containing 2-Channel Kondo Impurities
• Consistent bosonization-debosonization II: The two-lead Kondo problem and the fate of its non-equilibrium Toulouse point
• Transport Signatures of Majorana Quantum Criticality Realized by Dissipative Resonant Tunneling
• Capacitance of a resonant level coupled to Luttinger liquids
• Exact equilibrium results in the Interacting Resonant Level Model
• Non-equilibrium aspects of integrable models
• Universality at work -- the local sine-Gordon model, lattice fermions, and quantum circuits
• Critical charge fluctuations in a pseudogap Anderson model
• Consistent bosonization-debosonization I: A resolution of the non-equilibrium transport puzzle
• Crossover of Correlation Functions near a Quantum Impurity in a Tomonaga-Luttinger Liquid
• Strong-to-weak-coupling duality in the nonequilibrium interacting resonant-level model
• Critical quasiparticles in single-impurity and lattice Kondo models
• Tunneling into quantum wires: regularization of the tunneling Hamiltonian and consistency between free and bosonized fermions
• Out-of-equilibrium transport in the interacting resonant level model: the surprising relevance of the boundary sine-Gordon model
• Current Characteristics of the Single-Electron Transistor at the Degeneracy Point
• Direct Entropy Measurement in a Mesoscopic Quantum System
• Universal Symmetry-Protected Resonances in a Spinful Luttinger Liquid
• Quantum criticality and formation of a singular Fermi liquid in the attractive SU(N > 2) Anderson model
• Nonlinear conductance and noise in boundary sine-Gordon and related models

Cited by in corpus (4)

• Quantum simulation of an exotic quantum critical point in a two-site charge Kondo circuit
• Single impurity Anderson model out of equilibrium: A two-particle semi-analytic approach
• Quantum wires with local particle loss: Transport manifestations of fluctuation-induced effects
• Conductance of a Dissipative Quantum Dot: Nonequilibrium Crossover Near a Non-Fermi-Liquid Quantum Critical Point