Statistics of energy dissipation in a quantum dot operating in the cotunneling regime

Abstract

At Coulomb blockade valleys inelastic cotunneling processes generate particle-hole excitations in quantum dots (QDs), and lead to energy dissipation. We have analyzed the probability distribution function (PDF) of energy dissipated in a QD due to such processes during a given time interval. We obtained analytically the cumulant generating function, and extracted the average, variance and Fano factor. The latter diverges as $T^3/(eV{)}^2$ at bias $eV$ smaller than the temperature $T$, and reaches the value $3eV/5$ in the opposite limit. The PDF is further studied numerically. As expected, Crooks fluctuation relation is not fulfilled by the PDF. Our results can be verified experimentally utilizing transport measurements of charge.

arXiv comment5 pages, 3 figures

References in corpus (35)

• Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
• Colloquium. Quantum Fluctuation Relations: Foundations and Applications
• Opportunities for mesoscopics in thermometry and refrigeration: Physics and applications
• The Statistical Theory of Quantum Dots
• Quantum Effects in Coulomb Blockade
• Dipole coupling of a double quantum dot to a microwave resonator
• Observation of neutral modes in the fractional quantum Hall regime
• Violation of the Wiedemann-Franz Law in a Single-Electron Transistor
• Test of Jarzynski and Crooks fluctuation relations in an electronic system
• Local Thermometry of Neutral Modes on the Quantum Hall Edge
• Photon Emission from a Cavity-Coupled Double Quantum Dot
• Experimental Test of the High-Frequency Quantum Shot Noise Theory in a Quantum Point Contact
• Counting statistics of photons produced by electronic shot noise
• Proliferation of neutral modes in fractional quantum Hall states
• Nonlinear heat transport in mesoscopic conductors: Rectification, Peltier effect and Wiedemann-Franz law
• Characterizing Neutral Modes of Fractional States in the Second Landau Level
• Antibunched photons emitted by a quantum point contact out of equilibrium
• Hanbury-Brown Twiss correlations to probe the population statistics of GHz photons emitted by conductors
• Failure of the Wiedemann-Franz Law in Mesoscopic Conductors
• Extracting net current from an upstream neutral mode in the fractional quantum Hall regime
• Anomalous charge tunneling in the fractional quantum Hall edge states at filling factor ν= 5/2
• Thermoelectric probe for neutral edge modes in the fractional quantum Hall regime
• Validity of the Wiedemann-Franz law in small molecular wires
• Statistics of temperature fluctuations in an electron system out of equilibrium
• Fully Overheated Single-Electron Transistor
• Spectral noise for edge states at filling factor $\nu =5/2$
• Fluctuation theorem for heat transport probed by a thermal electrode
• Weak measurement of cotunneling time
• Energy transport by neutral collective excitations at the quantum Hall edge
• Neutral mode heat transport and fractional quantum Hall shot noise
• Hierarchical energy relaxation in mesoscopic tunnel junctions: Effect of nonequilibrium environment on low-temperature transport
• Single grain heating due to inelastic cotunneling
• Giant current fluctuations in an overheated single electron transistor
• Universality and quantization of the power to heat ratio in nano-granular systems
• Interplay of charge and heat transport in a nano-junction in the out-of-equilibrium cotunneling regime

Cited by in corpus (2)

• Full counting statistics and shot noise of cotunneling in quantum dots and single-molecule transistors
• Distribution of waiting times between electron cotunnelings