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Kondo effects in a triangular triple quantum dot: NRG study in the whole region of the electron filling
Mesoscale and Nanoscale Physics · Submitted 20 May 2009
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show generally that the quasi-particle excitations from a local Fermi-liquid ground state acquire a channel symmetry at zero points of the two-terminal conductance, in the case the system has time-reversal and inversion symmetries.
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The abstract, sentence by sentence
We study the low-energy properties of a triangular triple quantum dot connected to two non-interacting leads in a wide parameter range, using the numerical renormalization group (NRG). Various kinds of Kondo effects take place in this system depending on the electron filling N_{tot}, or the level position $\epsilon_d$ of the triple dot. The SU(4) Kondo behavior is seen in the half-filled case N_{tot} = 3.0 at the dip of the series conductance, and it causes a charge redistribution between the even and odd orbitals in the triangle. We show generally that the quasi-particle excitations from a local Fermi-liquid ground state acquire a channel symmetry at zero points of the two-terminal conductance, in the case the system has time-reversal and inversion symmetries. It causes the SU(4) behavior at low energies, while the orbital degeneracy in the triangle determines the high-energy behavior. At four-electron filling N_{tot} = 4.0, a local S=1 moment emerges at high temperatures due to a Nagaoka ferromagnetic mechanism. It is fully screened by the electrons from the two conducting channels via a two-stage Kondo effect, which is caused by a difference in the charge distribution in the even and odd orbitals.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the low-energy properties of a triangular triple quantum dot connected to two non-interacting leads in a wide parameter range, using the numerical renormalization group (NRG). | contribution 0.89 | 0.96 | 0.04 | asserted 0.94 |
| s1 | Various kinds of Kondo effects take place in this system depending on the electron filling N_{tot}, or the level position $\epsilon_d$ of the triple dot. | result 0.93 | 0.66 | 0.17 | asserted 0.99 |
| s2 | The SU(4) Kondo behavior is seen in the half-filled case N_{tot} = 3.0 at the dip of the series conductance, and it causes a charge redistribution between the even and odd orbitals in the triangle. | result 1.00 | 0.92 | 0.20 | asserted 1.00 |
| s3 | We show generally that the quasi-particle excitations from a local Fermi-liquid ground state acquire a channel symmetry at zero points of the two-terminal conductance, in the case the system has time-reversal and inversion symmetries. | result 0.64 | 0.78 | 0.28 | asserted 1.00 |
| s4 | It causes the SU(4) behavior at low energies, while the orbital degeneracy in the triangle determines the high-energy behavior. | interpretation 0.95 | 0.74 | 0.18 | asserted 1.00 |
| s5 | At four-electron filling N_{tot} = 4.0, a local S=1 moment emerges at high temperatures due to a Nagaoka ferromagnetic mechanism. | result 1.00 | 0.88 | 0.08 | asserted 1.00 |
| s6 | It is fully screened by the electrons from the two conducting channels via a two-stage Kondo effect, which is caused by a difference in the charge distribution in the even and odd orbitals. | result 0.87 | 0.88 | 0.14 | asserted 1.00 |
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Original abstract
We study the low-energy properties of a triangular triple quantum dot connected to two non-interacting leads in a wide parameter range, using the numerical renormalization group (NRG). Various kinds of Kondo effects take place in this system depending on the electron filling N_{tot}, or the level position $\epsilon_d$ of the triple dot. The SU(4) Kondo behavior is seen in the half-filled case N_{tot} = 3.0 at the dip of the series conductance, and it causes a charge redistribution between the even and odd orbitals in the triangle. We show generally that the quasi-particle excitations from a local Fermi-liquid ground state acquire a channel symmetry at zero points of the two-terminal conductance, in the case the system has time-reversal and inversion symmetries. It causes the SU(4) behavior at low energies, while the orbital degeneracy in the triangle determines the high-energy behavior. At four-electron filling N_{tot} = 4.0, a local S=1 moment emerges at high temperatures due to a Nagaoka ferromagnetic mechanism. It is fully screened by the electrons from the two conducting channels via a two-stage Kondo effect, which is caused by a difference in the charge distribution in the even and odd orbitals.
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How the literature uses it
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Papers citing it
Cites it as background 1 paper
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The case $N=4$ has received particular attention due to its realizability in double [ref] and triple quantum dots [ref] as well as carbon nanotube quantum dots [ref] .
Theory of non-equilibrium transport in the SU(N) Kondo regime · Introduction · 0.92
What it cites · 3 sentences without a confident label
Cites as background 2 papers
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[ref] In Refs. [ref] and [ref] the TTQD's connected, respectively, to two leads [ref] and one lead [ref] were studied.
Kondo regime in triangular arrangements of quantum dots: Molecular orbitals, interference and contact effects · Introduction · 0.87
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[ref] In Refs. [ref] and [ref] the TTQD's connected, respectively, to two leads [ref] and one lead [ref] were studied.
Quantum phase transition in quantum dot trimers · Introduction · 0.87
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