Nonlinear Peltier effect and the nonequilibrium Jonson-Mahan theorem

Freericks, J. K.; Zlatic,

doi:10.5488/cmp.9.3.603

Cited by 4 publications

(4 citation statements)

References 18 publications

(21 reference statements)

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“…There are only few works we know about which have discussed nonlinear thermoelectricity. Reference [41] calculated the thermopower to quadratic order in temperature gradients and [42][43][44] focused on the nonlinear Peltier coefficient. These works considered bulk systems with large capacitances, where accordingly the build-up of local electrostatic potentials can be neglected.…”

Section: Introductionmentioning

confidence: 99%

Scattering theory of nonlinear thermoelectricity in quantum coherent conductors

Meair¹,

Jacquod²

2013

J. Phys.: Condens. Matter

110

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We construct a scattering theory of weakly nonlinear thermoelectric transport through sub-micron scale conductors. The theory incorporates the leading nonlinear contributions in temperature and voltage biases to the charge and heat currents. Because of the finite capacitances of sub-micron scale conducting circuits, fundamental conservation laws such as gauge invariance and current conservation require special care to be preserved. We do this by extending the approach of Christen and Büttiker [Europhys. Lett. 35, 523 (1996)] to coupled charge and heat transport. In this way we write relations connecting nonlinear transport coefficients in a manner similar to Mott's relation between the linear thermopower and the linear conductance. We derive sum rules that nonlinear transport coefficients must satisfy to preserve gauge invariance and current conservation. We illustrate our theory by calculating the efficiency of heat engines and the coefficient of performance of thermoelectric refrigerators based on quantum point contacts and resonant tunneling barriers. We identify in particular rectification effects that increase device performance.PACS numbers: 85.50.Fi

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Section: Introductionmentioning

confidence: 99%

Scattering theory of nonlinear thermoelectricity in quantum coherent conductors

Meair¹,

Jacquod²

2013

J. Phys.: Condens. Matter

110

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“…3 Freericks and Zlatic generalized the many-body formalism of the Peltier effect to the nonlinear regime. 4 Nonlinearity of the thermoelectric effects in lower dimensions, such as nanowires 5 and point contacts, 6 has also been investigated using the Landauer formalism. Experimentally, nonlinearity of the Seebeck coefficient has been observed in a one-dimensional ballistic constriction at low temperatures 7 ͑550 mK͒ and recently in the measurement of the Seebeck coefficient of single molecule junctions.…”

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confidence: 99%

Nonlinear Peltier effect in semiconductors

Zebarjadi

Esfarjani

Shakouri

2007

Applied Physics Letters

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coefficient of a doped InGaAs semiconductor is calculated numerically using the Monte Carlo technique. The Peltier coefficient is also obtained analytically for single parabolic band semiconductors assuming a shifted Fermi-Dirac electronic distribution under an applied bias. Analytical results are in agreement with numerical simulations. Key material parameters affecting the nonlinear behavior are doping concentration, effective mass, and electron-phonon coupling. Current density thresholds at which nonlinear behavior is observable are extracted from numerical data. It is shown that the nonlinear Peltier effect can be used to enhance cooling of thin film microrefrigerator devices especially at low temperatures.

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“…The topic of voltage-driven quantum heat currents is interesting [3] and has been examined in a number of different systems [4,5,6,7,8,9,10,11,12]. Quantum dot setups are specially appealing due to their experimental tunability and theoretical simplicity.…”

Section: Introductionmentioning

confidence: 99%

Heat current through an artificial Kondo impurity beyond linear response

Sierra

Sánchez

2018

J. Phys.: Conf. Ser.

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We investigate the heat current of a strongly interacting quantum dot in the presence of a voltage bias in the Kondo regime. Using the slave-boson mean-field theory, we discuss the behavior of the energy flow and the Joule heating. We find that both contributions to the heat current display interesting symmetry properties under reversal of the applied dc bias. We show that the symmetries arise from the behavior of the dot transmission function. Importantly, the transmission probability is a function of both energy and voltage. This allows us to analyze the heat current in the nonlinear regime of transport. We observe that nonlinearities appear already for voltages smaller than the Kondo temperature. Finally, we suggest to use the contact and electric symmetry coefficients as a way to measure pure energy currents.

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Nonlinear Peltier effect and the nonequilibrium Jonson-Mahan theorem

Cited by 4 publications

References 18 publications

Scattering theory of nonlinear thermoelectricity in quantum coherent conductors

Scattering theory of nonlinear thermoelectricity in quantum coherent conductors

Nonlinear Peltier effect in semiconductors

Heat current through an artificial Kondo impurity beyond linear response

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