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.

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

References in corpus (23)

• Mechanical Control of Spin States in Spin-1 Molecules and the Underscreened Kondo Effect
• Orbital Kondo effect in carbon nanotubes
• 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
• Single-electron heat diode
• Zero-bias conductance in carbon nanotube quantum dots
• Thermoelectric phenomena in a quantum dot asymmetrically coupled to external leads
• Nonequilibrium magnetotransport through a quantum dot: An interpolative perturbative approach
• Electron-Transfer-Induced Thermal and Thermoelectric Rectification
• Kondo physics and orbital degeneracy interact to boost thermoelectrics on the nanoscale
• Conditions for requiring nonlinear thermoelectric transport theory in nanodevices
• Numerically exact counting statistics of energy current in the Kondo regime
• Thermopower of an SU(4) Kondo resonance under an SU(2) symmetry-breaking field
• Magnetic-Field Dependence of Tunnel Couplings in Carbon Nanotube Quantum Dots
• Thermoelectric response of a correlated impurity in the nonequilibrium Kondo regime
• 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
• Non-Linear Thermovoltage in a Single-Electron Transistor
• Nonlinear Seebeck effect of SU($N$) Kondo impurity
• Statistics of heat transport across capacitively coupled double quantum dot circuit
• Destructive quantum interference in transport through molecules with electron-electron and electron-vibration interactions

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