Implementation of transmission functions for an optimized three-terminal quantum dot heat engine

Schiegg, Christian; Dzierzawa, Michael; Eckern, Ulrich

doi:10.1088/1361-648x/aa5140

Cited by 5 publications

(5 citation statements)

References 30 publications

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“…Obviously the filtering properties are affected by the interactions which broaden or split the density of states rendering the filter less effective. This agrees with previous attempts at optimizing heat engines by engineering the transmission function [27,125]. On the other hand, strong interactions are responsible for the second leaf on the efficiency vs. power plane, visible in Fig.…”

Section: Discussionsupporting

confidence: 91%

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Two- and three-terminal far-from-equilibrium thermoelectric nano-devices in the Kondo regime

Eckern

Wysokiński

2020

New J. Phys.

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This paper analyses the thermoelectric power of two-and three-terminal quantum dot devices under large thermal ΔT and voltage V biases, and their performance as thermoelectric heat engines. The focus is on the interaction between electrons, far-from-equilibrium conditions, and strongly nonlinear transport, which all are important factors affecting the usefulness of the devices. To properly characterise the thermoelectric properties under such conditions, two different Seebeck coefficients are introduced, generalizing the linear response expression. In agreement with previous work, we find that the efficiency of the three-terminal thermoelectric heat engine, as measured by the delivered power, is optimal far from equilibrium. Moreover, strong Coulomb interactions between electrons on the quantum dot are found to diminish the efficiency at maximum power, and the maximal value of the delivered power, both in the Kondo regime and beyond.

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Section: Discussionsupporting

confidence: 91%

“…The main conclusion was that albeit the screening modifies the parameters at which the engine is optimal, it does neither change the maximal power nor the efficiency at the maximum power. A similar heat engine has also been optimized with respect to the transmission function [125].…”

Section: Three-terminal Heat Engine: the Role Of Strong Coulomb Inter...mentioning

confidence: 99%

Two- and three-terminal far-from-equilibrium thermoelectric nano-devices in the Kondo regime

Eckern

Wysokiński

2020

New J. Phys.

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“…In the former structure an almost rectangle window of transparency, described in 18 , is converted into an almost rectangle window of reflectivity (48) just by adding the same single-channel wire in parallel. Such rectangle windows of transmission can be applied 68 within the area of quantum heat engines. 69,70 Other fields of possible applications are broad band filters design 71 and 2D photonic crystals 72,73 formed by 2D periodic arrays of dielectric rods with an in-plane light wave, which is polarized along these rods.…”

Section: Discussionmentioning

confidence: 99%

Unified theory of resonances and bound states in the continuum in Hermitian tight-binding models

Горбацевич

Shubin

2017

Phys. Rev. B

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We study transport properties of an arbitrary two terminal Hermitian system within a tightbinding approximation and derive the expression for the transparency in the form, which enables one to determine exact energies of perfect (unity) transmittance, zero transmittance (Fano resonance) and bound state in the continuum (BIC). These energies correspond to the real roots of two energy-dependent functions that are obtained from two non-Hermitian Hamiltonians: the Feshbach's effective Hamiltonian and the auxiliary Hamiltonian, which can be easily deduced from the effective one. BICs and scattering states are deeply connected to each other. We show that transformation of a scattering state into a BIC can be formally described as a "phase transition" with divergent generalized response function. Design rules for quantum conductors and waveguides are presented, which determine structures exhibiting coalescence of both resonances and antiresonances resulting in the formation of almost rectangular transparency and reflection windows. The results can find applications in construction of molecular conductors, broad band filters, quantum heat engines and waveguides with controllable BIC formation.

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“…The transmission shape flattening was obtained by a special selection of hoping matrix elements in one dimensional chain representing a molecular conductor. A regular procedure of constructing quantum conductors with near rectangular transmission shape was presented in [133][134][135]. It was shown that such transmission shape results from resonance coalescence at the exceptional point of quantum conductor.…”

Section: Quantum Interferencementioning

confidence: 99%

The effect of side substitution and quantum interference on the performance of molecular thermoelectric devices: a brief review

Tan

Zeng

Peng

et al. 2023

J. Phys.: Condens. Matter

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In recent years, researchers have shown great interest in organic thermoelectric materials that are economical, efficient, lightweight, and environmentally friendly. With advancements in experimental measurement techniques and theoretical calculations, investigations of the thermoelectric properties of molecular devices have become feasible. To regulate the thermoelectric properties of molecular devices, many strategies have been proposed. In this work, we review the theoretical analytical and experimental research methods used to study these properties. We then focus on two tuning strategies, side substitution, and quantum interface effects, which have demonstrated significant improvements in the thermoelectric performance of molecular devices. Finally, we discuss the challenges faced in experimental and theoretical studies and the future prospects of molecular thermoelectric devices.

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Implementation of transmission functions for an optimized three-terminal quantum dot heat engine

Cited by 5 publications

References 30 publications

Two- and three-terminal far-from-equilibrium thermoelectric nano-devices in the Kondo regime

Two- and three-terminal far-from-equilibrium thermoelectric nano-devices in the Kondo regime

Unified theory of resonances and bound states in the continuum in Hermitian tight-binding models

The effect of side substitution and quantum interference on the performance of molecular thermoelectric devices: a brief review

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