Conditions for requiring nonlinear thermoelectric transport theory in nanodevices

Abstract

In this paper, we examine the conditions under which the nonlinear transport theory is inescapable, when a correlated quantum dot is symmetrically coupled to two leads submitted to temperature and voltage biases. By detailed numerical comparisons between nonlinear and linear currents, we show that the claimed nonlinear behavior in a temperature gradient for the electric current is not so genuine, and the linear theory made at the operating temperature $\bar{T}=(T_H+T_C)/2$ is unexpectedly robust. This is demonstrated for the single impurity Anderson model, in different regimes: resonant tunneling, Coulomb blockade and Kondo regimes.

References in corpus (23)

• Opportunities for mesoscopics in thermometry and refrigeration: Physics and applications
• Quantum thermal transport in nanostructures
• The Anderson Model out of Equilibrium: Non-Crossing-Approximation Approach to Transport through a Quantum Dot
• Most efficient quantum thermoelectric at finite power output
• Modulation of Thermoelectric Power of Individual Carbon Nanotubes
• Thermopower of a Kondo-correlated quantum dot
• Thermoelectric transport through strongly correlated quantum dots
• Gauge invariant nonlinear electric transport in mesoscopic conductors
• Non-linear thermoelectrics of molecular junctions with vibrational coupling
• Scattering theory of nonlinear thermoelectric transport
• Nonlinear thermovoltage and thermocurrent in quantum dots
• Non-equilibrium dynamics of the Anderson impurity model
• Nonlinear heat transport in mesoscopic conductors: Rectification, Peltier effect and Wiedemann-Franz law
• Performance analysis of an interacting quantum dot thermoelectric system
• Sequential and co-tunneling behavior in the temperature-dependent thermopower of few-electron quantum dots
• Lineshape of the thermopower of quantum dots
• Strongly nonlinear thermovoltage and heat dissipation in interacting quantum dots
• Non-linear thermoelectric transport: A class of nano-devices for high efficiency and large power output
• Thermoelectric effects of an Aharonov-Bohm interferometer with an embedded quantum dot in the Kondo regime
• Nonlinear thermoelectricity in point-contacts at pinch-off: a catastrophe aids cooling
• Universal scaling in transport out of equilibrium through a single quantum dot using the noncrossing approximation
• Kondo physics and orbital degeneracy interact to boost thermoelectrics on the nanoscale
• Strongly-Correlated Thermoelectric Transport beyond Linear Response

Cited by in corpus (24)

• Fundamental aspects of steady-state conversion of heat to work at the nanoscale
• Finding the quantum thermoelectric with maximal efficiency and minimal entropy production at given power output
• Phonon-thermoelectric transistors and rectifiers
• Nonlinear thermoelectricity with electron-hole symmetric systems
• Nonlinear phenomena in quantum thermoelectrics and heat
• Interactions and thermoelectric effects in a parallel-coupled double quantum dot
• Enhancing Thermoelectric Performance Using Nonlinear Transport Effects
• Heat current across a capacitively coupled double quantum dot for high magnetic field
• Enhancing of nonlinear thermoelectric response of a correlated quantum dot in the Kondo regime by asymmetrically coupling to the leads
• The effect of Coulomb interactions on nonlinear thermovoltage and thermocurrent in quantum dots
• Multi-terminal far-from-equilibrium thermoelectric nano-devices in the Kondo regime
• Nonequilibrium Seebeck effect and thermoelectric efficiency of Kondo-correlated molecular junctions
• Quantum control of nonlinear thermoelectricity at the nanoscale
• Non-equilibrium thermoelectric transport across normal metal-Quantum dot-Superconductor hybrid system within the Coulomb blockade regime
• Thermoelectric properties of a double quantum dot out of equilibrium in Kondo and intermediate valence regimes
• Thermally induced charge current through long molecules
• Strain-induced enhancement of the Seebeck effect in magnetic tunneling junctions via interface resonant tunneling: Ab-initio study
• Length-dependent Seebeck effect in single-molecule junctions beyond linear response regime
• Quantifying the impact of phonon scattering on electrical and thermal transport in quantum dots
• Role of asymmetry in thermoelectric properties of a double quantum dot out of equilibrium
• Quantum coherent control of linear and nonlinear thermoelectricity on graphene nanostructure heat engines
• Regimes and quantum bounds of nanoscale thermoelectrics with peaked transmission function
• Topological Interface States and Nonlinear Thermoelectric Performance in Armchair Graphene Nanoribbon Heterostructures
• Fano effect in a thermally induced transport through a triple quantum dot within the Coulomb blockade regime