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

Eckern, Ulrich; Wysokiński, Karol I.

doi:10.1088/1367-2630/ab6874

Cited by 27 publications

(21 citation statements)

References 106 publications

(243 reference statements)

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“…3 The differential Seebeck coefficient at finite applied bias voltage and difference of temperatures ∆T , linked to the proposal of quantum dots as possible nanoscale temperature sensors, 25 is being studied. [25][26][27] Systems of double quantum dots are also being studied. 5,35,37 In particular, Yadalam and Harbola 37 studied the full statistics of heat fluctuations in a system of two quantum dots in series, each one coupled to a corresponding lead (left dot with the left lead, right dot with the right lead) for spinless electrons (corresponding to a high magnetic field) and a Coulomb repulsion U between both dots (see Fig.…”

Section: Introductionmentioning

confidence: 99%

Heat current across a capacitively coupled double quantum dot

Aligia¹,

Daroca²,

Arrachea³

et al. 2020

Phys. Rev. B

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We study the heat current through two capacitively coupled quantum dots coupled in series with two conducting leads 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 is taken into account due to many-body effects. We generalize previous results for high temperatures and particular parameters obtained by Yadalam and Harbola [Phys. Rev. B 99, 195449 (2019)]. In particular we consider temperatures for which an orbital Kondo regime takes place. In contrast to previous results, we find that the heat current is finite even for U → ∞. In the Kondo regime, for temperatures much less than the Kondo energy scale, we obtain that the dependence of the thermal current with the temperature difference ∆T is ∼ (∆T ) 4 when the cold lead is at TC ≪ ∆T , and linear in ∆T if TC ≫ ∆T . For large TC the current saturates. As a function of Coulomb strength U , for high ∆T and TC = 0, the charge current has a maximum for U ∼ 3∆T and decreases with increasing U reaching a finite value for U → ∞. We also consider the case of different energy levels of the dots for which the device has rectifying properties.

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Section: Introductionmentioning

confidence: 99%

Heat current across a capacitively coupled double quantum dot

Aligia¹,

Daroca²,

Arrachea³

et al. 2020

Phys. Rev. B

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“…We believe that the presented analytical and numerical analysis provides the basis for the further in-depth understanding of the non-equilibrium charge and heat transport in hybrid superconductor-QD nanostructures. The related research work may also be taken out addressing linear and non-linear thermoelectric transport in multi-terminal [73] or multi-dot [74,75] configuration, and the influence of Kondo interaction on the thermoelectric transport through these hybrid nanostructures [76].…”

Section: Discussionmentioning

confidence: 99%

Non-equilibrium thermoelectric transport across normal metal-Quantum dot-Superconductor hybrid system within the Coulomb blockade regime

Verma

2021

Preprint

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A detailed investigation of the non-equilibrium steady-state electric and thermoelectric transport properties of a quantum dot coupled to the normal metallic and s-wave superconducting reservoirs (N-QD-S) are provided within the Coulomb blockade regime. Using non-equilibrium Keldysh Green's function formalism, initially, various model parameter dependence of thermoelectric transport properties are analysed within the linear response regime. It is observed that the single-particle tunnelling close to the superconducting gap edge can generate a relatively large thermopower and figure of merit. Moreover, the Andreev tunnelling plays a significant role in the suppression of thermopower and figure of merit within the gap region. Further, within the non-linear regime, we discuss two different situations, i.e., the finite voltage biasing between isothermal reservoirs and the finite thermal gradient in the context of thermoelectric heat engine. In the former case, it is shown that the sub-gap Andreev heat current can become finite beyond the linear response regime and play a vital role in asymmetric heat dissipation and thermal rectification effect for low voltage biasing. The rectification of heat current is enhanced for strong on-dot Coulomb interaction and at low background thermal energy. In the latter case, we study the variation of thermovoltage, thermopower, maximum power output, and corresponding efficiency with the applied thermal gradient. These results illustrate that hybrid superconductor-quantum dot nanostructures are a promising candidate for low-temperature thermal applications.

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“…Furthermore, departures from the Fermi liquid description could be relevant [30]. The current approach also can be extended to multi-orbitals models, which are predestined to generate further challenges at the numerical level, as well as to nonlinear (e.g., finite voltage) transport properties [44,45].…”

Section: Discussionmentioning

confidence: 99%

Spin-polarization and resonant states in electronic conduction through a correlated magnetic layer

Weh,

Appelt,

Östlin

et al. 2021

Preprint

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The transmission through a magnetic layer of correlated electrons sandwiched between non-interacting normal-metal leads is studied within model calculations. We consider the linear regime in the framework of the Meir-Wingreen formalism, according to which the transmission can be interpreted as the overlap of the spectral function of the surface layer of the leads with that of the central region. By analyzing these spectral functions, we show that a change of the coupling parameter between the leads and the central region significantly and non-trivially affects the conductance. The role of band structure effects for the transmission is clarified. For a strong coupling between the leads and the central layer, high-intensity localized states are formed outside the overlapping bands, while for weaker coupling this high-intensity spectral weight is formed within the leads' continuum band around the Fermi energy. A local Coulomb interaction in the central region modifies the high-intensity states, and hence the transmission. For the present setup, the major effect of the local interaction consists in shifts of the band structure, since any sharp features are weakened due to the macroscopic extension of the configuration in the directions perpendicular to the transport direction.

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

Cited by 27 publications

References 106 publications

Heat current across a capacitively coupled double quantum dot

Heat current across a capacitively coupled double quantum dot

Non-equilibrium thermoelectric transport across normal metal-Quantum dot-Superconductor hybrid system within the Coulomb blockade regime

Spin-polarization and resonant states in electronic conduction through a correlated magnetic layer

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