Emergent SU(4) Kondo physics in a spin–charge-entangled double quantum dot

Keller, Andrew J.; Amasha, Sami; Weymann, Ireneusz; Moca, Cătălin Paşcu; Rau, I. G.; Katine, J. A.; Shtrikman, Hadas; Zaránd, Gergely; Goldhaber‐Gordon, David

doi:10.1038/nphys2844

Cited by 137 publications

(167 citation statements)

References 43 publications

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“…2d of Ref. 21. We conclude that the quasiparticle picture with temperature dependent parameters can provide an explanation of the main features seen in the experimental results.…”

Section: B Results At Finite Temperaturesupporting

confidence: 53%

“…At the higher temperature T /πΓ = 0.1039, where T ∼ 2T * , the height of the peak corresponding to the lower value of |ε d | begins to become the larger of the two. Though we have not used the particular parameter set for the recently reported experimental results by Keller et al 21 we find a two peak form and general trend with temperature as shown in Fig. 2 of their paper (note that the results there are plotted as a function of −ε d there).…”

Section: B Results At Finite Temperaturementioning

confidence: 88%

“…2(a,b) of Ref. 21 seem to indicate the possibility of such a behavior, however, a closer inspection of the experimental data would be desirable. If this resonance is very narrow, as it can be in the spin Kondo regime due to the exponential renormalization due to U , the peak will not be detectable if the resolution of the temperature of the experiment is such that T >Γ.…”

Section: Differential Conductancementioning

confidence: 99%

“…(1) Note that in an experiment ε d can be tuned via a gate voltages. [19][20][21] We now consider an effective model in the low energy regime in terms of renormalized parameters.…”

Section: Model Hamiltonianmentioning

confidence: 99%

“…On the basis of scaling equations for an effective Kondo model it was concluded that, in this regime, a new symmetry would emerge on a low energy scale between the spin and pseudospin fluctuations, such that the low energy behavior could be described by an effective model with SU(4) symmetry. 3,[15][16][17][18] Recently it has proved possible to realize this situation experimentally using two capacitively coupled dots, [19][20][21] and to measure the response to an effective pseudospin field by changing the levels on the dots. The conductance of the electrons through the individual dots has also been measured, offering the potential to examine the theoretical predictions in detail.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of low-energy response and possible emergent SU(4) Kondo state in a double quantum dot

et al. 2013

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We examine the low energy behavior of a double quantum dot in a regime where spin and pseudospin excitations are degenerate. The individual quantum dots are described by Anderson impurity models with an on-site interaction U which are capacitively coupled by an interdot interaction U12 < U . The low energy response functions are expressed in terms of renormalized parameters, which can be deduced from an analysis of the fixed point in a numerical renormalization group calculation. At the point where the spin and pseudospin degrees of freedom become degenerate, the free quasiparticle excitations have a phase shift of π/4 and a 4-fold degeneracy. We find, however, when the quasiparticle interactions are included, that the low energy effective model has SU(4) symmetry only in the special case U12 = U unless both U and U12 are greater than D, the half-bandwidth of the conduction electron bath. We show that the gate voltage dependence of the temperature dependent differential conductance observed in recent experiments can be described by a quasiparticle density of states with temperature dependent renormalized parameters.

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“…2d of Ref. 21. We conclude that the quasiparticle picture with temperature dependent parameters can provide an explanation of the main features seen in the experimental results.…”

Section: B Results At Finite Temperaturesupporting

confidence: 53%

Section: B Results At Finite Temperaturementioning

confidence: 88%

Section: Differential Conductancementioning

confidence: 99%

“…(1) Note that in an experiment ε d can be tuned via a gate voltages. [19][20][21] We now consider an effective model in the low energy regime in terms of renormalized parameters.…”

Section: Model Hamiltonianmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Analysis of low-energy response and possible emergent SU(4) Kondo state in a double quantum dot

et al. 2013

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Magnetic Field Dependent Kondo Transport through Double Quantum Dots System

Cheng

Zheng

et al. 2022

Annalen der Physik

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The Kondo transport associated with the magnetic field in parallel-coupled double quantum dots (PDQDs) is theoretically investigated using the hierarchical-equation-of-motion approach (HEOM). In this system, the interdot tunneling induces an effective antiferromagnetic interaction; thus, its ground state is an orbital singlet associated with approximately zero differential conductance. When an appropriate large magnetic field is applied, the two spins of the two dots have a possibility with a parallel arrangement, and thus the singlet and one of the triplets are degenerated. At the degenerate point, a distinct zero-energy resonance peak appears, associated with significant differential conductance. The Kondo scale behavior at the degenerate point and the total and spin resolved spectral functions around the degenerate point are examined. The results confirm the spin-1∕2 Kondo resonance near the singlet-triplet transition point. The differential conductance phase diagram, as well as thermoelectric transport, is also quantitatively presented.

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Effect of Induced Transition on the Quantum Entanglement and Coherence in Two‐Coupled Double Quantum Dot System

et al. 2023

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Studying quantum properties in solid-state systems is a significant avenue for research. In this scenario, double quantum dots appear as a versatile platform for technological breakthroughs in quantum computation and nanotechnology. This work inspects the thermal entanglement and quantum coherence in two-coupled DODs, where the system is exposed to an external stimulus that induces an electronic transition within each subsystem. The results show that the introduction of external stimulus induces a quantum level crossing that relies upon the Coulomb potential changing the degree of quantum entanglement and coherence of the system. Thus, the quantum properties of the system can be tuned by changing the transition frequency, leading to the enhancement of its quantum properties. IntroductionStudying theoretical quantum information quantifiers in condensed matter physics systems has paramount importance as a key resource for several information processing protocols.

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Emergent SU(4) Kondo physics in a spin–charge-entangled double quantum dot

Cited by 137 publications

References 43 publications

Analysis of low-energy response and possible emergent SU(4) Kondo state in a double quantum dot

Analysis of low-energy response and possible emergent SU(4) Kondo state in a double quantum dot

Magnetic Field Dependent Kondo Transport through Double Quantum Dots System

Effect of Induced Transition on the Quantum Entanglement and Coherence in Two‐Coupled Double Quantum Dot System

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