Leading temperature dependence of the conductance in Kondo-correlated quantum dots

Aligia, A. A.

doi:10.1088/1361-648x/aab45b

Cited by 5 publications

(6 citation statements)

References 64 publications

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“…It has been shown explicitly that this non-equilibrium approach satisfies important Ward identities. 20,64 At equilibrium, the method provides results that coincide with state-ofthe art techniques for the dependence of the conductance with magnetic field B (c B ) 63 and temperature (c T ) 64 to second order in B or T . An analytical expression for c T in terms of the renormalized parameters was provided.…”

Section: Renormalized Perturbation Theorymentioning

confidence: 80%

“…The renormalized parameters for RPT were taken from previous calculations. 63,64 The result was T K = 0.00441∆ for the RPT and T K = 0.00796∆ for the NCA. The result for J Q as a function of ∆T is shown in Fig.…”

Section: The Limit U → ∞mentioning

confidence: 95%

“…63,80 One of the main advantages is that the renormalized expansion parameter U /(π ∆) is small, being usually below 1.1 even for U → ∞. 63,64 Our RPT procedure consists in using renormalized parameters for E L = E R , U and ∆ obtained at µ L = µ R = T L = T R = 0 by a numerical-renormalizationgroup calculation, 63,64 and incorporating perturbations up to second order in the renormalized U ( U ). It has been shown explicitly that this non-equilibrium approach satisfies important Ward identities.…”

Section: Renormalized Perturbation Theorymentioning

confidence: 99%

“…An analytical expression for c T in terms of the renormalized parameters was provided. 64 However, for energy scales of the order of T K or larger, the method loses accuracy and a complementary approach is needed.…”

Section: Renormalized Perturbation Theorymentioning

confidence: 99%

“…Most of the results presented were obtained using non-equilibrium perturbation theory up to second order in U , which is valid for small or moderate values of U . 60,61 For infinite U we use renormalized perturbation theory, 20,[62][63][64][65] and the non-crossing approximation. [66][67][68] The paper is organized as follows.…”

Section: Introductionmentioning

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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Section: Renormalized Perturbation Theorymentioning

confidence: 80%

Section: The Limit U → ∞mentioning

confidence: 95%

Section: Renormalized Perturbation Theorymentioning

confidence: 99%

Section: Renormalized Perturbation Theorymentioning

confidence: 99%

Section: Introductionmentioning

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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Destructive quantum interference in transport through molecules with electron–electron and electron-vibration interactions

Roura‐Bas

Güller

Tosi

et al. 2019

J. Phys.: Condens. Matter

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We study the transport through a molecular junction exhibiting interference effects. We show that these effects can still be observed in the presence of molecular vibrations if Coulomb repulsion is taken into account. In the Kondo regime, the conductance of the junction can be changed by several orders of magnitude by tuning the levels of the molecule, or displacing a contact between two atoms, from nearly perfect destructive interference to values of the order of 2e 2 /h expected in Kondo systems. We also show that this large conductance change is robust for reasonable temperatures and voltages for symmetric and asymmetric tunnel couplings between the source-drain electrodes and the molecular orbitals. This is relevant for the development of quantum interference effect transistors based on molecular junctions.

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