Out-of-equilibrium transport in the interacting resonant level model: the surprising relevance of the boundary sine-Gordon model

Abstract

Using time-dependent density matrix renormalization group calculations we study the transport properties ($I-V$ curves and shot noise) of the interacting resonant level model (IRLM) in a large range of the interaction parameter $U$, in the scaling limit. We find that these properties can be described remarkably well by those of the Boundary sine-Gordon model (BSG), which are known analytically (Fendley, Ludwig and Saleur, 1995). We argue that the two models are nevertheless in different universality classes out of equilibrium: this requires a delicate discussion of their infra-red (IR) properties ({\it i.e.} at low voltage), where we prove in particular that the effective tunneling charge is $e$ in the infra-red regime of the IRLM (except at the self-dual point where it jumps to $2e$), while it is known to be a continuously varying function of $U$ in the BSG. This behavior is confirmed by careful analysis of the numerical data in the IR. The remarkable agreement of the transport properties, especially in the crossover region, remains however unexplained.

References in corpus (36)

• Nonequilibrium dynamics of closed interacting quantum systems
• Real time evolution using the density matrix renormalization group
• Quantum many-body systems out of equilibrium
• Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
• Electron Counting Statistics and Coherent States of Electric Current
• Boundary S-Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory
• Functional renormalization group approach to correlated fermion systems
• Integrable Structure of Conformal Field Theory, Quantum KdV Theory and Thermodynamic Bethe Ansatz
• Time-Dependent Transport through a Mesoscopic Structure
• Time-evolving a matrix product state with long-ranged interactions
• 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)
• Twofold advance in the theoretical understanding of far-from-equilibrium properties of interacting nanostructures
• Exact solution of a massless scalar field with a relevant boundary interaction
• Nonequilibrium Steady-State Transport in Quantum Impurity Models: a Thermofield and Quantum Quench Approach using Matrix Product States
• A renormalization group approach to time dependent transport through correlated quantum dots
• New method for studying steady states in quantum impurity problems: The interacting resonant level model
• Functional renormalization group study of the interacting resonant level model in and out of equilibrium
• Exact low temperature results for transport properties of the interacting resonant level model
• 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
• Numerical Evaluation of Shot Noise using Real Time Simulations
• Shot noise in the self-dual Interacting Resonant Level Model
• Perturbation of infra-red fixed points and duality in quantum impurity problems
• Self-duality in quantum impurity problems
• The interacting resonant level model in nonequilibrium: finite temperature effects
• Out-of-equilibrium properties and non-linear effects for interacting quantum impurity systems in their strong coupling regime
• Full counting statistics in the not-so-long-time limit
• Exact equilibrium results in the Interacting Resonant Level Model
• Mass Generation in Perturbed Massless Integrable Models
• From thermal equilibrium to nonequilibrium quench dynamics: A conserving approximation for the interacting resonant level
• Hyperelliptic curves for multi-channel quantum wires and the multi-channel Kondo problem
• Current noise of the interacting resonant level model
• Differential equations and duality in massless integrable field theories at zero temperature

Cited by in corpus (5)

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• Nonequilibrium Quantum Critical Steady State: Transport Through a Dissipative Resonant Level
• Efficient impurity-bath trial states from superposed Slater determinants
• Local density of states of the interacting resonant level model at zero temperature
• Self-equilibration theorem in quantum-point contacts of interacting electrons: time-dependent quantum fluctuations of tunnel transport beyond the Levitov-Lesovik scattering approach