Current noise in quantum dot thermoelectric engines
arXiv:2411.13408 · doi:10.1103/PhysRevB.111.075422
Abstract
We theoretically investigate a thermoelectric heat engine based on a single-level quantum dot, calculating average quantities such as current, heat current, output power, and efficiency, as well as fluctuations (noise). Our theory is based on a diagrammatic expansion of the memory kernel together with counting statistics, and we investigate the effects of strong interactions and next-to-leading order tunneling. Accounting for next-to-leading order tunneling is crucial for a correct description when operating at high power and high efficiency, and in particular affect the qualitative behavior of the Fano factor and efficiency. We compare our results with the so-called thermodynamic uncertainty relations, which provide a lower bound on the fluctuations for a given efficiency. In principle, the conventional thermodynamic uncertainty relations can be violated by the non-Markovian quantum effects originating from next-to-leading order tunneling, providing a type of quantum advantage. However, for the specific heat engine realization we consider here, we find that next-to-leading order tunneling does not lead to such violations, but in fact always pushes the results further away from the bound set by the thermodynamic uncertainty relations.
arXiv comment11 pages, 6 figures
References in corpus (65)
- Quantum Computation with Quantum Dots
- The density-matrix renormalization group
- Shot Noise in Mesoscopic Conductors
- Electron transport through double quantum dots
- A Tunable Kondo Effect in Quantum Dots
- Thermodynamic uncertainty relation for biomolecular processes
- Functional renormalization group approach to correlated fermion systems
- Semiconductor Spin Qubits
- Dissipation bounds all steady-state current fluctuations
- Fundamental aspects of steady-state conversion of heat to work at the nanoscale
- Continuous Time Quantum Monte Carlo method for fermions
- Kondo effect in an integer-spin quantum dot
- Exact dynamics of dissipative electronic systems and quantum transport: Hierarchical equations of motion approach
- Experimental realization of a Szilard engine with a single electron
- Universal trade-off between power, efficiency, and constancy in steady-state heat engines
- Mesoscopic quantum transport: Resonant tunneling in the presence of strong Coulomb interaction
- Semiconductor Qubits In Practice
- Reversible thermoelectric nanomaterials
- Reversible quantum Brownian heat engines for electrons
- Thermoelectric efficiency at maximum power in a quantum dot
- A quantum-dot heat engine operating close to the thermodynamic efficiency limits
- Double quantum dot with integrated charge sensor based on Ge/Si heterostructure nanowires
- Diagrammatic Monte Carlo simulation of non-equilibrium systems
- Electron Cotunneling in a Semiconductor Quantum Dot
- On steady-state currents through nano-devices: a scattering-states numerical renormalization group approach to open quantum systems
- Iterative real-time path integral approach to nonequilibrium quantum transport
- Counting Statistics of Non-Markovian Quantum Stochastic Processes
- Kinetic Equations for Transport Through Single-Molecule Transistors
- Quantum thermal absorption machines: refrigerators, engines and clocks
- Zero Frequency Current Noise for the Double Tunnel Junction Coulomb Blockade
- Noise of a Quantum-Dot System in the Cotunneling Regime
- On the validity of the thermodynamic uncertainty relation in quantum systems
- Finding the quantum thermoelectric with maximal efficiency and minimal entropy production at given power output
- Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects
- Co-tunneling current and shot noise in quantum dots
- Cotunneling at resonance for the single-electron transistor
- Tunneling through nanosystems: Combining broadening with many-particle states
- Stochastic thermodynamics: From principles to the cost of precision
- Coherence-enhanced constancy of a quantum thermoelectric generator
- Thermodynamic uncertainty relation in quantum thermoelectric junctions
- Shot noise in tunneling transport through molecules and quantum dots
- Density-operator approaches to transport through interacting quantum dots: Simplifications in fourth-order perturbation theory
- Super-poissonian noise, negative differential conductance, and relaxation effects in transport through molecules, quantum dots and nanotubes
- Quantum Signatures in the Quantum Carnot Cycle
- Concept study for a high-efficiency nanowire-based thermoelectric
- Geometric properties of adiabatic quantum thermal machines
- Fermionic superoperators for zero-temperature non-linear transport: real-time perturbation theory and renormalization group for Anderson quantum dots
- Quantum-fluctuation effects on the thermopower of a single-electron transistor
- Cotunneling and renormalization effects for the single-electron transistor
- Thermodynamics of the mesoscopic thermoelectric heat engine beyond the linear-response regime
- Optimal power and efficiency of single quantum dot heat engines: theory and experiment
- Full counting statistics and shot noise of cotunneling in quantum dots and single-molecule transistors
- Power, Efficiency and Fluctuations in a Quantum Point Contact as Steady-State Thermoelectric Heat Engine
- Heat rectification through single and coupled quantum dots
- A Single-Quantum-Dot Heat Valve
- Experimental verification of the work fluctuation-dissipation relation for information-to-work conversion
- Efficiency and power of a thermoelectric quantum dot device
- Counting statistics of cotunneling electrons
- QmeQ 1.0: An open-source Python package for calculations of transport through quantum dot devices
- Single-electron charge sensing in self-assembled quantum dots
- Double quantum-dot engine fueled by entanglement between electron spins
- Out-of-Equilibrium Fluctuation-Dissipation Bounds
- Co-tunneling assisted sequential tunneling in multi-level quantum dots
- Shot noise of a quantum dot measured with GHz stub impedance matching
- Maxwell's demon across the quantum-to-classical transition