Violation of the Wiedemann-Franz Law in a Single-Electron Transistor

Abstract

We study the influence of Coulomb interaction on the thermoelectric transport coefficients for a metallic single-electron transistor. By performing a perturbation expansion up to second order in the tunnel-barrier conductance, we include sequential and cotunneling processes as well as quantum fluctuations that renormalize the charging energy and the tunnel conductance. We find that Coulomb interaction leads to a strong violation of the Wiedemann-Franz law: the Lorenz ratio becomes gate-voltage dependent for sequential tunneling, and is increased by a factor 9/5 in the cotunneling regime. Finally, we suggest a measurement scheme for an experimental realization.

arXiv commentpublished version, minor changes; 4 pages, 3 figures

References in corpus (19)

• Opportunities for mesoscopics in thermometry and refrigeration: Physics and applications
• Mesoscopic quantum transport: Resonant tunneling in the presence of strong Coulomb interaction
• Modulation of Thermoelectric Power of Individual Carbon Nanotubes
• Thermopower of a Kondo-correlated quantum dot
• Thermopower of Single-Molecule Devices
• Heat Transistor: Demonstration of Gate-Controlled Electron Refrigeration
• Cotunneling thermopower of single electron transistors
• Thermoelectric effects in Kondo correlated quantum dots
• Thermoelectric effects in strongly interacting quantum dot coupled to ferromagnetic leads
• Effect of the Kondo correlation on thermopower in a Quantum Dot
• The Thermopower of Quantum Chaos
• Thermopower of a single electron transistor in the regime of strong inelastic cotunneling
• Quantum-fluctuation effects on the thermopower of a single-electron transistor
• Cotunneling and renormalization effects for the single-electron transistor
• Failure of the Wiedemann-Franz Law in Mesoscopic Conductors
• Resonant Tunneling and Coulomb Oscillations
• Thermal transport in granular metals
• Spin Related Effects in Transport Properties of "Open" Quantum Dots
• Thermopower of a superconducting single-electron transistor

Cited by in corpus (88)

• Fundamental aspects of steady-state conversion of heat to work at the nanoscale
• Thermoelectric energy harvesting with quantum dots
• Thermoelectric transport through strongly correlated quantum dots
• Optimal thermoelectric figure of merit of a molecular junction
• Large enhancement of thermoelectric effects in a double quantum dot system due to interference and Coulomb correlation phenomena
• Colloquium: Quantum heat transport in condensed matter systems
• Non-linear thermoelectrics of molecular junctions with vibrational coupling
• Enhancement of the thermoelectric figure of merit in a quantum dot due to the Coulomb blockade effect
• On the Lorenz number of multi-band materials
• Experimental realization of a quantum dot energy harvester
• Nonlinear heat transport in mesoscopic conductors: Rectification, Peltier effect and Wiedemann-Franz law
• Thermal Conductance of a Single-Electron Transistor
• Thermoelectric properties of an interacting quantum dot-based heat engine
• Thermoelectric performance of a driven double quantum dot
• Thermoelectric conversion at 30K in InAs/InP nanowire quantum dots
• Thermoelectric transport with electron-phonon coupling and electron-electron interaction in molecular junctions
• Enhancement of thermoelectric efficiency and violation of the Wiedemann-Franz law due to Fano effect
• First-principles quantum transport modeling of thermoelectricity in single-molecule nanojunctions with graphene nanoribbon electrodes
• Large violation of Wiedemann Franz law in Luttinger liquids
• Double quantum dot as a minimal thermoelectric generator
• Spin and thermal conductivity of quantum spin ladders
• Phonon Interference Effects in Molecular Junctions
• Fermion-parity duality and energy relaxation in interacting open systems
• Thermoelectric properties of a weakly coupled quantum dot: enhanced thermoelectric efficiency
• Experiments on thermoelectric properties of quantum dots
• A Single-Quantum-Dot Heat Valve
• Efficiency and power of a thermoelectric quantum dot device
• Spin-dependent thermoelectric effects in a strongly correlated double quantum dot
• Spin-dependent thermoelectric phenomena in a quantum dot attached to ferromagnetic and superconducting electrodes
• Designing $\pi$-stacked molecular structures to control heat transport through molecular junctions
• Heat, molecular vibrations, and adiabatic driving in non-equilibrium transport through interacting quantum dots
• Thermoelectric study of dissipative quantum dot heat engines
• Violation of the Wiedemann-Franz law in the Topological Kondo model
• Wiedemann-Franz law in a non-Fermi liquid and Majorana central charge: Thermoelectric transport in a two-channel Kondo system
• Three-terminal heat engine and refrigerator based on superlattices
• Gate voltage controlled thermoelectric figure of merit in three-dimensional topological insulator nanowires
• Thermoelectric response of a correlated impurity in the nonequilibrium Kondo regime
• The interacting resonant level model in nonequilibrium: finite temperature effects
• The effect of Coulomb interactions on nonlinear thermovoltage and thermocurrent in quantum dots
• Effect of assisted hopping on thermopower in an interacting quantum dot
• Spin-dependent thermoelectric effects in transport through a nanoscopic junction involving spin impurity
• Non-Linear Thermovoltage in a Single-Electron Transistor
• Thermal rectification effect of an interacting quantum dot
• Multi-particle scattering and breakdown of the Wiedemann-Franz law at a junction of N interacting quantum wires
• Enhanced thermoelectric response in the fractional quantum Hall effect
• The effect of Coulomb interactions on thermoelectric properties of quantum dots
• Quantum confinement suppressing electronic heat flow below the Wiedemann-Franz law
• Current-induced spin polarization of a magnetized two-dimensional electron gas with Rashba spin-orbit interaction
• Microwave-mediated heat transport through a quantum dot
• Thermoelectric effects in a double quantum dot system weakly coupled to ferromagnetic leads
• Topological and disorder corrections to the transverse Wiedemann-Franz law and Mott relation in kagome magnets
• Non-equilibrium thermoelectric transport across normal metal-Quantum dot-Superconductor hybrid system within the Coulomb blockade regime
• Wiedemann-Franz law in scattering theory revisited
• Time-Dependent Thermopower Effect in an Interacting Quantum Dot
• Enhancement of the thermoelectric efficiency in a T-shaped quantum dot system in the linear and nonlinear regimes
• Relaxation dynamics of the electron distribution in the Coulomb blockade problem
• The effect of dephasing on thermoelectric efficiency of molecular junctions
• Thermally-induced spin polarization in a magnetized two-dimensional electron gas with Rashba spin-orbit interaction
• Quantum thermal transport in the charged Sachdev-Ye-Kitaev model: Thermoelectric Coulomb blockade
• Spin filtering and thermopower in star coupled quantum dot devices
• Laterally proximized aluminum tunnel junctions
• Thermal transport of molecular junctions in the pair tunneling regime
• Thermoelectric properties of a double quantum dot out of equilibrium in Kondo and intermediate valence regimes
• Giant mesoscopic fluctuations of the elastic cotunneling thermopower of a single-electron transistor
• Phonon-assisted thermoelectric effects in a two-level molecule
• Length-dependent thermopower of single-molecule junctions
• Thermoelectric performance of quantum dots embedded in an Aharonov-Bohm ring: a Pauli master equation approach
• Thermally induced charge current through long molecules
• Thermoelectric phenomena in an antiferromagnetic helix: Role of electric field
• Thermal junctions controlled with Aharonov-Bohm phases
• Spin-dependent beating patterns in thermoelectric properties: Filtering the carriers of the heat flux in a Kondo adatom system
• Charge and Spin Thermoelectric Transport in Benzene-Based Molecular Nano-Junctions: A Quantum Many-Body Study
• Length-dependent Seebeck effect in single-molecule junctions beyond linear response regime
• Spin-orbit coupling effects over thermoelectric transport properties in quantum dots
• Universality and quantization of the power to heat ratio in nano-granular systems
• Thermal and thermoelectric transport in flat bands with non-trivial quantum geometry
• Strain-induced thermoelectricity in pentacene
• Role of asymmetry in thermoelectric properties of a double quantum dot out of equilibrium
• Universal relations between thermoelectrics and noise in mesoscopic transport across a tunnel junction
• Statistics of energy dissipation in a quantum dot operating in the cotunneling regime
• Classical information driven quantum dot thermal machines
• A Strongly Correlated Quantum-Dot Heat Engine with Optimal Performance: An Non-equilibrium Green's function Approach
• Breakdown of the Wiedemann-Franz law in an interacting quantum Hall metamaterial
• Unitary description of the black hole by prime numbers
• Thermoelectric efficiency of single-molecule junctions with long molecular linkers
• Spin caloritronics in collinear ferromagnetic helical structures under irradiation
• Strain-Induced Half-Metallicity and Giant Wiedemann-Franz Violation in Monolayer NiI${}_2$
• Photon-phonon-assisted thermoelectric effects in the molecular devices