Relaxation dynamics of the electron distribution in the Coulomb blockade problem

Abstract

We study the relaxation dynamics of electron distribution function on the island of a single electron transistor. We focus on the 'interaction without coherence regime in which an electron coherence can be neglected but quantum fluctuations of charge are strong due to Coulomb interaction. The quantum kinetic equation governing the evolution of the electron distribution function due to escape of electrons to the reservoirs is derived. Analytical solutions for time-dependence of the electron distribution are obtained in the regimes of weak and strong Coulomb blockade. We find that usual exponential in time relaxation is strongly modified due to the presence of Coulomb interaction.

References in corpus (12)

• Quantum dot as thermal rectifier
• Violation of the Wiedemann-Franz Law in a Single-Electron Transistor
• Quantum phase transitions in the Bose-Fermi Kondo model
• Quantum-fluctuation effects on the thermopower of a single-electron transistor
• Thermal transport in a granular metal array
• Fully Overheated Single-Electron Transistor
• Nonequilibrium dephasing in Coulomb blockade quantum dots
• The problem of "macroscopic charge quantization" in single-electron devices
• Single grain heating due to inelastic cotunneling
• Frequency dispersion of photon-assisted shot noise in mesoscopic conductors
• Thermoelectric performance of weakly coupled granular materials
• Heating Effects in a Chain of Quantum Dots

Cited by in corpus (10)

• Colloquium: Quantum heat transport in condensed matter systems
• Thermal Conductance of a Single-Electron Transistor
• Rings and boxes in dissipative environments
• A thermally driven spin-transfer-torque system far from equilibrium: enhancement of the thermoelectric current via pumping current
• Out-of-Equilibrium Admittance of Single Electron Box Under Strong Coulomb Blockade
• Charge relaxation resistance in the cotunneling regime of multi-channel Coulomb blockade: Violation of Korringa-Shiba relation
• Two-instanton approximation to the Coulomb blockade problem
• Coulomb staircase in an asymmetrically coupled quantum dot
• Instantons in the out-of-equilibrium Coulomb blockade
• Coulomb blockade of chiral Majorana and complex fermions far from equilibrium