Thermal drag in electronic conductors

Abstract

We study the electronic thermal drag in two different Coulomb-coupled systems, the first one composed of two Coulomb blockaded metallic islands and the second one consisting of two parallel quantum wires. The two conductors of each system are electrically isolated and placed in the two circuits (the drive and the drag) of a four-electrode setup. The systems are biased, either by a temperature $\Delta T$ or a voltage $V$ difference, on the drive circuit, while no biases are present on the drag circuit. In the case of a pair of metallic islands we use a master equation approach to determine the general properties of the dragged heat current $I_{\mathrm{drag}}^{(\mathrm{h})}$, accounting also for co-tunneling contributions and the presence of large biases. Analytic results are obtained in the sequential tunneling regime for small biases, finding, in particular, that $I_{\mathrm{drag}}^{(\mathrm{h})}$ is quadratic in $\Delta T$ or $V$ and non-monotonous as a function of the inter-island coupling. Finally, by replacing one of the electrodes in the drag circuit with a superconductor, we find that heat can be extracted from the other normal electrode. In the case of the two interacting quantum wires, using the Luttinger liquid theory and the bosonization technique, we derive an analytic expression for the thermal trans-resistivity ${\rho }_{12}^{(\mathrm{h})}$, in the weak-coupling limit and at low temperatures. ${\rho }_{12}^{(\mathrm{h})}$ turns out to be proportional to the electric trans-resistivity ${\rho }_{12}^{(\mathrm{c})}$, in such a way that their ratio (a kind of Wiedemann-Franz law) is proportional to $T^3$. We find that the thermal trans-resistivity is proportional to $T$ for low temperatures and decreases like $1/T$ for intermediate temperatures or like $1/T^3$ for high temperatures. We complete our analyses by performing numerical simulations that confirm the above results and allow to access the strong coupling regime.

arXiv comment21 pages, 17 figures

References in corpus (34)

• The density-matrix renormalization group in the age of matrix product states
• Thermal transport measurements of individual multiwalled nanotubes
• Fundamental aspects of steady-state conversion of heat to work at the nanoscale
• Experimental realization of a Szilard engine with a single electron
• On-chip Maxwell's demon as an information-powered refrigerator
• Optimal energy quanta to current conversion
• Three-Terminal Energy Harvester with Coupled Quantum Dots
• Coulomb drag
• Coulomb drag between disordered two-dimensional electron gas layers
• Thermal transport in a Luttinger liquid
• Cotunneling thermopower of single electron transistors
• Minimal Self-Contained Quantum Refrigeration Machine Based on Four Quantum Dots
• Rectification of thermal fluctuations in a chaotic cavity heat engine
• 1D-1D Coulomb Drag Signature of a Luttinger Liquid
• Mesoscopic Coulomb drag, broken detailed balance and fluctuation relations
• Nonequilibrium thermal transport and its relation to linear response
• Single-electron heat diode
• Coulomb drag by small momentum transfer between quantum wires
• Thermal Conductance of a Single-Electron Transistor
• Correlations of heat and charge currents in quantum-dot thermoelectric engines
• Energy transport in Heisenberg chains beyond the Luttinger liquid paradigm
• Measurement back-action in stacked graphene quantum dots
• Cotunneling drag effect in Coulomb-coupled quantum dots
• Single-electron thermal devices coupled to a mesoscopic gate
• Coulomb drag of Luttinger liquids and quantum-Hall edges
• Thermoelectricity without absorbing energy from the heat sources
• Thermoelectrics with Coulomb coupled quantum dots
• Thermoelectrics in Coulomb-coupled quantum dots: Cotunneling and energy-dependent lead couplings
• Powerful Coulomb-drag thermoelectric engine
• Correlated Coulomb drag in capacitively coupled quantum-dot structures
• Thermal Gating of Charge Currents with Coulomb Coupled Quantum Dots
• Correlation-induced refrigeration with superconducting single-electron transistors
• Engineering drag currents in Coulomb coupled quantum dots
• Back action of graphene charge detectors on graphene and carbon nanotube quantum dots

Cited by in corpus (31)

• Thermoelectric conversion at 30K in InAs/InP nanowire quantum dots
• Absorption refrigerators based on Coulomb-coupled single-electron systems
• Autonomous conversion of information to work in quantum dots
• Thermal rectification through a nonlinear quantum resonator
• Heat rectification through single and coupled quantum dots
• Nonlocal quantum heat engines made of hybrid superconducting devices
• Quantifying nonequlibrium thermodynamic operations in a multiterminal mesoscopic system
• Minimal two-body quantum absorption refrigerator
• Comparative study of heat-driven and power-driven refrigerators with Coulomb-coupled quantum dots
• Multitask quantum thermal machines and cooperative effects
• Inelastic thermoelectric transport and fluctuations in mesoscopic system
• Non-Linear Thermovoltage in a Single-Electron Transistor
• Thermal photon drag in many-body systems
• Andreev-Coulomb Drag in Coupled Quantum Dots
• Autonomous demon exploiting heat and information at the trajectory level
• Coulomb thermoelectric drag in four-terminal mesoscopic quantum transport
• Thermal drag effect in quantum Hall circuits
• Energy drag in particle-hole symmetric systems as a quantum quench
• Fluctuation-driven thermal transport in graphene double-layers at charge neutrality
• Nonreciprocal Coulomb Drag between Quantum Wires in the quasi-1D regime
• Thermoelectric processes of quantum normal-superconductor interfaces
• Generalized Master Equation Approach to Time-Dependent Many-Body Transport
• Quantum thermocouples: nonlocal conversion and control of heat in nanostructures
• All-thermal reversal of heat currents using qutrits
• Performance of the T-matrix based master equation for Coulomb drag in double quantum dots
• Charge and energy transfer in ac-driven Coulomb-coupled double quantum dots
• Tunable reciprocal and nonreciprocal contributions to 1D Coulomb Drag
• Parametric Study for Optimal Performance of Coulomb-Coupled Quantum Dots
• Universality in Non-Equilibrium Quantum Systems
• Slave-Spin 1 formulation: A simple approach to time-dependent transport through an interacting two level system
• Precision of an autonomous demon exploiting nonthermal resources and information