Statistics of heat transport across a capacitively coupled double quantum dot circuit

Yadalam, Hari Kumar; Harbola, Upendra

doi:10.1103/physrevb.99.195449

Cited by 12 publications

(16 citation statements)

References 93 publications

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“…which coincides with the expression obtained by Yadalam and Harbola (see the expression of C 1 in appendix A of Ref. 37, note that in their notation Γ ν = 2∆ ν ).…”

Section: A the Atomic Limitsupporting

confidence: 89%

“…In order to compare with some previous results, 37 and our own ones at high temperatures, we discuss the limit ∆ L , ∆ R → 0.…”

Section: A the Atomic Limitmentioning

confidence: 77%

“…6 of Ref. 37, and calculate J Q as a function of ∆ using perturbation theory in U (see Section II C) in the symmetric case E = −U/2 and for ∆ ≥ U/10. For smaller values of ∆ the method is not reliable.…”

Section: B Dependence Of Thermal Current On ∆νmentioning

confidence: 99%

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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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“…which coincides with the expression obtained by Yadalam and Harbola (see the expression of C 1 in appendix A of Ref. 37, note that in their notation Γ ν = 2∆ ν ).…”

Section: A the Atomic Limitsupporting

confidence: 89%

“…In order to compare with some previous results, 37 and our own ones at high temperatures, we discuss the limit ∆ L , ∆ R → 0.…”

Section: A the Atomic Limitmentioning

confidence: 77%

See 1 more Smart Citation

Heat current across a capacitively coupled double quantum dot

Aligia¹,

Daroca²,

Arrachea³

et al. 2020

Phys. Rev. B

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“…Let us emphasize that too simple treatment that neglects fluctuations, such as static mean-field approach, cannot address the properties of the present or related devices [13,54]. To our knowledge the three-terminal twodot thermal machine was only studied, except in Ref.…”

Section: Hybridization Between Dots and Leads Readsmentioning

confidence: 99%

“…As a consequence the numerical results will be hardly substantiated by analytical behaviors. In the present formalism, we calculate only averages of heat and charge currents, however, current fluctuations, which have been analyzed in this kind of setup [54,[67][68][69], manifest themselves as will be discussed for the electric refrigerator.…”

Section: Hybridization Between Dots and Leads Readsmentioning

confidence: 99%

Comparative study of heat-driven and power-driven refrigerators with Coulomb-coupled quantum dots

Daré

2019

Phys. Rev. B

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Multiterminal multidot devices have been put forward as versatile and high-performing setups for thermoelectric energy harvesting at the nanoscale. With a technique that encompasses and overtakes several of the usual theoretical tools used in this context, we explore a three-terminal Coulomb-coupled-dot device for refrigeration purposes. The refrigerator is monitored by either a voltage or a thermal bias. This comparative study shows that the heat-driven refrigerator is underperforming relative to the power-driven one, due to scarce on-dot charge fluctuations.

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