Heat current across a capacitively coupled double quantum dot for high magnetic field

Abstract

We study the heat current through two capacitively coupled quantum dots coupled in series with two conducting leads at different temperatures $T_L$ and $T_R$ in the spinless case (valid for a high applied magnetic field). Our results are also valid for the heat current through a single quantum dot with strongly ferromagnetic leads pointing in opposite directions (so that the electrons with given spin at the dot can jump only to one lead) or through a quantum dot with two degenerate levels with destructive quantum interference and high magnetic field. Although the charge current is always zero, the heat current is finite when the interdot Coulomb repulsion $U$ is taken into account due to many-body effects. We study the thermal conductance as a function of temperature and the dependence of the thermal current with the couplings to the leads, $T_L-T_R$, energy levels of the dots and $U$, including conditions for which an orbital Kondo regime takes place. When the energy levels of the dots are different, the device has rectifying properties for the thermal current. We find that the ratio between the thermal current resulting from a thermal bias $T_L>T_R$ and the one from $T_L<T_R$ is maximized for particular values of the energy levels, one above and the other below the Fermi level.

arXiv comment16 pages, 13 figures, more information on conductance and rectification properties added in the revised version

References in corpus (73)

• Kondo Physics in a Single Electron Transistor
• A Tunable Kondo Effect in Quantum Dots
• The Kondo Effect in the Unitary Limit
• Fundamental aspects of steady-state conversion of heat to work at the nanoscale
• The Anderson Model out of Equilibrium: Non-Crossing-Approximation Approach to Transport through a Quantum Dot
• Mechanical Control of Spin States in Spin-1 Molecules and the Underscreened Kondo Effect
• A spin-boson thermal rectifier
• Orbital Kondo effect in carbon nanotubes
• A quantum-dot heat engine operating close to the thermodynamic efficiency limits
• Quantum limit of heat flow across a single electronic channel
• Quantum phase transition in a single-molecule quantum dot
• Optimal energy quanta to current conversion
• Thermoelectric transport through strongly correlated quantum dots
• Thermoelectric efficiency at maximum power in low-dimensional systems
• Electron correlation resonances in the transport through a single quantum level
• Non-linear thermoelectrics of molecular junctions with vibrational coupling
• Experimental realization of a quantum dot energy harvester
• Single-electron heat diode
• Renormalized Parameters for Impurity Models
• Thermoelectric properties of an interacting quantum dot-based heat engine
• Zero-bias conductance in carbon nanotube quantum dots
• Perfect diode in quantum spin chains
• Direct measurement of the Seebeck coefficient in a Kondo-correlated single-quantum-dot transistor
• Universal transport signatures in two-electron molecular quantum dots: gate-tunable Hund's rule, underscreened Kondo effect and quantum phase transitions
• Mechanism for large thermoelectric power in negative-U molecular quantum dots
• Non-equilibrium Differential Conductance through a Quantum Dot in a Magnetic Field
• Magnetic Field Probing of an SU(4) Kondo Resonance in a Single Atom Transistor
• Detection of single-electron heat transfer statistics
• Thermoelectric characterization of the Kondo resonance in nanowire quantum dots
• Thermoelectric phenomena in a quantum dot asymmetrically coupled to external leads
• Perturbation theory of a superconducting $0-\pi$ impurity quantum phase transition
• Perturbation theory for an Anderson quantum dot asymmetrically attached to two superconducting leads
• Nonequilibrium magnetotransport through a quantum dot: An interpolative perturbative approach
• Thermal transport in one-dimensional spin heterostructures
• Electron-Transfer-Induced Thermal and Thermoelectric Rectification
• Kondo and anti-Kondo resonances in transport through nanoscale devices
• Thermal conductance and thermoelectric figure of merit of C${}_{60}$-based single-molecule junctions: electrons, phonons, and photons
• Kondo physics and orbital degeneracy interact to boost thermoelectrics on the nanoscale
• Quasi-particle description for the transport through a small interacting system
• Many-body theory of the quantum mirage
• Conditions for requiring nonlinear thermoelectric transport theory in nanodevices
• Higher-order Fermi-liquid corrections for an Anderson impurity away from half-filling III: non-equilibrium transport
• Heat current rectification and mobility edges
• Numerically exact counting statistics of energy current in the Kondo regime
• Enhancing Thermoelectric Performance Using Nonlinear Transport Effects
• Powerful Coulomb-drag thermoelectric engine
• Thermopower of an SU(4) Kondo resonance under an SU(2) symmetry-breaking field
• Nonequilibrium transport through magnetic vibrating molecules
• Magnetic-Field Dependence of Tunnel Couplings in Carbon Nanotube Quantum Dots
• Transport in Carbon Nanotubes: 2LSU(2) regime reveals subtle competition between Kondo and Intermediate Valence states
• Enhancing of nonlinear thermoelectric response of a correlated quantum dot in the Kondo regime by asymmetrically coupling to the leads
• Thermoelectric response of a correlated impurity in the nonequilibrium Kondo regime
• Orbital Kondo spectroscopy in a double quantum dot system
• Nonequilibrium self-energies, Ng approach and heat current of a nanodevice for small bias voltage and temperature
• Comparative study of heat-driven and power-driven refrigerators with Coulomb-coupled quantum dots
• Fate of the spin-\frac{1}{2} Kondo effect in the presence of temperature gradients
• Transition between SU(4) and SU(2) Kondo effect
• Effect of assisted hopping on thermopower in an interacting quantum dot
• One- and many-body effects on mirages in quantum corrals
• Non-Linear Thermovoltage in a Single-Electron Transistor
• Enhanced thermoelectric response in the fractional quantum Hall effect
• Nonequilibrium conductance through a benzene molecule in the Kondo regime
• Spectral evolution of the SU(4) Kondo effect from the single impurity to the two-dimensional lattice
• Relation between width of the zero-bias anomaly and Kondo temperaure in transport measurements through correlated quantum dots: Effect of asymmetric coupling to the leads
• Nonlinear Seebeck effect of SU($N$) Kondo impurity
• Replicas of the Kondo peak due to electron-vibration interaction in molecular transport properties
• Statistics of heat transport across capacitively coupled double quantum dot circuit
• A thermally driven out-of-equilibrium two-impurity Kondo system
• Heat transport through quantum Hall edge states: Tunneling versus capacitive coupling to reservoirs
• Scaling of conductance through quantum dots with magnetic field
• Two-stage three-channel Kondo physics for an FePc molecule on the Au(111) surface
• Destructive quantum interference in transport through molecules with electron-electron and electron-vibration interactions
• Leading temperature dependence of the conductance in Kondo-correlated quantum dots

Cited by in corpus (13)

• Energy dynamics, heat production and heat-work conversion with qubits: towards the development of quantum machines
• Heat rectification through single and coupled quantum dots
• Characterizing the performance of heat rectifiers
• Thermal rectification and negative differential thermal conductivity based on a parallel-coupled double quantum-dot
• Universal behaviour of Coulomb coupled Fermionic thermal diode
• Thermoelectric properties of a double quantum dot out of equilibrium in Kondo and intermediate valence regimes
• Quantum heat valve and entanglement in superconducting $LC$ resonators
• Role of asymmetry in thermoelectric properties of a double quantum dot out of equilibrium
• Charge and energy transfer in ac-driven Coulomb-coupled double quantum dots
• Hysteresis and effective reciprocity breaking due to current-induced forces
• Coulomb-mediated single-electron heat transfer statistics across capacitively coupled silicon nanodots
• Slave-Spin 1 formulation: A simple approach to time-dependent transport through an interacting two level system
• Fano effect in a thermally induced transport through a triple quantum dot within the Coulomb blockade regime