Absence of Coulomb Blockade in the Anderson Impurity Model at the Symmetric Point

Levy, Amikam; Kidon, Lyran; Bätge, Jakob; Okamoto, Junichi; Thoss, Michael; Limmer, David T.; Rabani, Eran

doi:10.1021/acs.jpcc.9b04132

Cited by 8 publications

(3 citation statements)

References 55 publications

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“…The spurious magnetic transition with a discrete jump is suppreassed. Instead, it continuously crosses over to saturation as determined numerically and experimentally [64,65].…”

Section: B I-v Characteristics In Coulomb Blockade Regimementioning

confidence: 86%

“…It contains two Hubbard satellite bands, sitting around ±U/2 around the Fermi level. With the increasing bias, these two satellite bands do not move too much, and this leads to the 'S'-shape I-V characteristics [64]. In particular, when V U , the current is largely suppressed due to the small density of states around the Fermi level, exhibiting a strong Coulomb-blockade effect.…”

Section: B I-v Characteristics In Coulomb Blockade Regimementioning

confidence: 99%

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Single impurity Anderson model out of equilibrium: A two-particle semi-analytic approach

Yan,

Janiš

2021

Preprint

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We apply a two-particle semi-analytic approach to a single Anderson impurity attached to two biased metallic leads. The theory is based on reduced parquet equations justified in critical regions of singularities in the Bethe-Salpeter equations. It offers a way to treat one-particle and twoparticle thermodynamic and spectral quantities on the same footing. The two-particle vertices are appropriately renormalized so that spurious transitions into the magnetic state of the weakcoupling approximations are suppressed. The unphysical hysteresis loop in the current-voltage characteristics is thereby eliminated. Furthermore, in the linear response regime, we qualitatively reproduce the three transport regimes with the increasing temperature: from the Kondo resonant tunneling through the Coulomb blockade regime up to a sequential tunneling regime. Far from equilibrium, we find that the bias plays a similar role as the temperature in destroying the Kondo resonant peak when the corresponding energy scale is comparable with the Kondo temperature. Besides that, the applied voltage in low bias is shown to develop spectral peaks around the lead chemical potentials as observed in previous theoretical and experimental studies.

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“…The spurious magnetic transition with a discrete jump is suppreassed. Instead, it continuously crosses over to saturation as determined numerically and experimentally [64,65].…”

Section: B I-v Characteristics In Coulomb Blockade Regimementioning

confidence: 86%

Section: B I-v Characteristics In Coulomb Blockade Regimementioning

confidence: 99%

Single impurity Anderson model out of equilibrium: A two-particle semi-analytic approach

Yan,

Janiš

2021

Preprint

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“…The lead-lead coupling has been already discussed in [21,49,50] with the remarkable difference that there a leadlead interaction was present from the beginning in the Hamiltonian of the system. Moreover, the effect of such coupling on the energy transfer and its microscopic mechanism has not been discussed.…”

Section: Virtual Processesmentioning

confidence: 97%

Study of the energy variation in many-body open quantum systems: Role of interactions in the weak and strong coupling regimes

Talarico¹,

Maniscalco²,

Gullo³

2020

Phys. Rev. B

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We derive an expression for the rate of change of the energy of an interacting many-body system connected to macroscopic leads. We show that the energy variation is the sum of contributions from each different lead. Unlike the charge current each of these contributions can differ from the rate of change of the energy of the lead. We demonstrate that the discrepancy between the two is due to the direct exchange of energy among the considered lead and all other leads. We conclude that the microscopic mechanism behind it is virtual processes via the interacting central region. We also speculate on what are the implications of our findings in the calculation of the thermal conductance of an interacting system.

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I–V characteristics of the single quantum dot within impurity Anderson model: the role of correlation regime

Shamer

Al-Mukh

2023

Indian J Phys

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Absence of Coulomb Blockade in the Anderson Impurity Model at the Symmetric Point

Cited by 8 publications

References 55 publications

Single impurity Anderson model out of equilibrium: A two-particle semi-analytic approach

Single impurity Anderson model out of equilibrium: A two-particle semi-analytic approach

Study of the energy variation in many-body open quantum systems: Role of interactions in the weak and strong coupling regimes

I–V characteristics of the single quantum dot within impurity Anderson model: the role of correlation regime

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