Instantons in the out-of-equilibrium Coulomb blockade

Abstract

Physical properties of single-electron devices in the week Coulomb blockade regime are significantly dependent on non-perturbative effects. They arise as instanton solutions of equations of motion for the corresponding Ambegaokar-Eckern-Schoen action. In equilibrium those solutions are known as Korshunov instantons. In this paper we study non-equilibrium Ambegaokar-Eckern- Schoen action using Keldysh technique. We found instantons for the most general stationary out-of equilibrium state. We also found that action saddle-point value assumes a universal value irrespective of the stationary non-equilibrium state.

References in corpus (24)

• Shot Noise in Mesoscopic Conductors
• Quantum Effects in Coulomb Blockade
• Coulomb Blockade without Tunnel Junctions
• Distributions of the Conductance and its Parametric Derivatives in Quantum Dots
• Inelastic Electron Lifetime in Disordered Mesoscopic Systems
• Strong Tunneling in the Single-Electron Box
• Scattering Approach to Counting Statistics in Quantum Pumps
• Strong Charge Fluctuations in the Single-Electron Box: A Quantum Monte Carlo Analysis
• Coulomb charging energy for arbitrary tunneling strength
• Aharonov-Bohm oscillations of a particle coupled to dissipative environments
• Fractional Coulomb blockade in a coupling controlled metallic quantum dot
• Effect of the Tunneling Conductance on the Coulomb Staircase
• Weak Charge Quantization as an Instanton of Interacting sigma-model
• Coexistence of Coulomb blockade and zero bias anomaly in a strongly coupled quantum dot
• Inelastic electron transport in granular arrays
• Two-loop approximation in the Coulomb blockade problem
• Response of a Fermi gas to time-dependent perturbations: Riemann-Hilbert approach at non-zero temperatures
• Universal scaling behavior of the single electron box in the strong tunneling limit
• Paperclip at $\theta =\pi$
• Coulomb Blockade and Super Universality of the Theta-Angle
• Relaxation dynamics of the electron distribution in the Coulomb blockade problem
• The problem of "macroscopic charge quantization" in single-electron devices
• Korshunov instantons out of equilibrium
• Two-instanton approximation to the Coulomb blockade problem