Kondo effect in double quantum dots with ferromagnetic RKKY interaction

Pan, Lei; Wang, Yuandong; Li, Zhen Hua; Jiang, Wei; Yan, YiJing

doi:10.1088/0953-8984/29/2/025601

Cited by 7 publications

(5 citation statements)

References 68 publications

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“…[53] In coupled double QDs, Li et al studied the Kondo-peak splitting and resonance enhancement caused by inter-dot tunneling; [33] Cheng et al investigated transport properties in the real-time domain; [54] and Pan et al studied the Kondo effect in the context of ferromagnetic RKKY interaction. [55] Recently, in open triple QDs, Cheng et al investigated the reappearance of the Kondo effect [45] and long-range overlapping of Kondo clouds. [48] Appendix B: Some supplementary information about the physical image…”

Section: Discussionmentioning

confidence: 99%

Chiral splitting of Kondo peak in triangular triple quantum dot

Liu¹,

Wang²,

Wei³

2022

Chinese Phys. B

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New characteristics of the Kondo effect, arising from spin chirality induced by the Berry phase in the equilibrium state, are investigated. The analysis is based on the hierarchical equations of motion (HEOM) approach in a triangular triple quantum-dot (TTQD) structure. In the absence of magnetic field, TTQD has four-fold degenerate chiral ground states with degenerate spin chirality. When a perpendicular magnetic field is applied, the chiral interaction is induced by the magnetic flux threading through TTQD and the four-fold degenerate states split into two chiral state pairs. The chiral excited states manifest as chiral splitting of the Kondo peak in the spectral function. The theoretical analysis is confirmed by the numerical computations. Furthermore, under a Zeeman magnetic field B, the chiral Kondo peak splits into four peaks, owing to the splitting of spin freedom. The influence of spin chirality on the Kondo effect signifies an important role of the phase factor. This work provides insight into the quantum transport of strongly correlated electronic systems.

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Section: Discussionmentioning

confidence: 99%

Chiral splitting of Kondo peak in triangular triple quantum dot

Liu¹,

Wang²,

Wei³

2022

Chinese Phys. B

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“…[54] Pan et al studied the Kondo effect in the context of ferromagnetic RKKY interaction. [55] Ye et al applied the HEOM approach on two-level QDs with Kondo correlations, providing an understanding of, and a viable mechanism for controlling, the thermoelectric properties of strongly correlated QD systems. [56] Finally, in open triple QDs, Cheng et al investigated the reappearance of the Kondo effect and long-range overlapping of Kondo clouds via the HEOM approach.…”

Section: Discussionmentioning

confidence: 99%

Capacitive coupling induced Kondo–Fano interference in side-coupled double quantum dots*

Sun¹,

Wang²,

Wei³

et al. 2020

Chinese Phys. B

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We report capacitive coupling induced Kondo–Fano (K–F) interference in a double quantum dot (DQD) by systematically investigating its low-temperature properties on the basis of hierarchical equations of motion evaluations. We show that the interdot capacitive coupling U 12 splits the singly-occupied (S-O) state in quantum dot 1 (QD1) into three quasi-particle substates: the unshifted S-O0 substate, and elevated S-O1 and S-O2. As U 12 increases, S-O2 and S-O1 successively cross through the Kondo resonance state at the Fermi level (ω = 0), resulting in the so-called Kondo-I (KI), K–F, and Kondo-II (KII) regimes. While both the KI and KII regimes have the conventional Kondo resonance properties, remarkable Kondo–Fano interference features are shown in the K–F regime. In the view of scattering, we propose that the phase shift η(ω) is suitable for analysis of the Kondo–Fano interference. We present a general approach for calculating η(ω) and applying it to the DQD in the K–F regime where the two maxima of η(ω = 0) characterize the interferences between the Kondo resonance state and S-O2 and S-O1 substates, respectively.

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“…As a non-perturbative method, the HEOM approach is capable of quantitatively describing the essential signatures of Kondo physics and achieving the accuracy of the numerical renormalization group (NRG) approach [29,[36][37][38][39][40][41]. The main limitation lies in the numerical difficulty at near-zero temperature (T < 0.1T K ) and for large degree of the system.…”

Section: Qd1 Qd2mentioning

confidence: 99%

Spin and charge Kondo effects in capacitively coupled double quantum dots

Sun¹,

Jiang²

2020

EPL

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We investigate low-temperature spin and charge (orbital) Kondo effect of capacitively hierarchical equations of motion. In a charge stability diagram at finite interdot Coulomb repulsion, a line between triple points (LBTP) serves as the degeneracy of charge configuration states. With one electron difference on each dot, these charge configuration states can be regarded as pseudospins. It is shown that charge can also screen its counterpart through the high-order process using tunnelling-coupled reservoirs. In the charge configuration regime , in addition to the spin Kondo effect, the degeneracy and detuning of charge configuration states and may also cause a charge Kondo resonance that agrees with the experiments on triple-peak structures with differential conductance.

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Kondo effect in double quantum dots with ferromagnetic RKKY interaction

Cited by 7 publications

References 68 publications

Chiral splitting of Kondo peak in triangular triple quantum dot

Chiral splitting of Kondo peak in triangular triple quantum dot

Capacitive coupling induced Kondo–Fano interference in side-coupled double quantum dots*

Spin and charge Kondo effects in capacitively coupled double quantum dots

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