Tunable Kondo Physics in a Carbon Nanotube Double Quantum Dot

Chorley, S. J.; Galpin, Martin R.; Jayatilaka, Frederic W.; Smith, C. G.; Logan, David E.; Buitelaar, M. R.

doi:10.1103/physrevlett.109.156804

Cited by 37 publications

(44 citation statements)

References 34 publications

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“…25 Other types of unconventional Kondo phenomena such as the two-impurity Kondo effect have been studied in nanotube systems (Chang and Chen, 2009;Bomze et al, 2010;Chorley et al, 2012). Equipping nanotubes with superconducting or ferromagnetic leads also gives rise to new Kondo systems Hauptmann, Paaske, and Lindelof, 2008), but that is beyond the scope of this review.…”

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confidence: 99%

Quantum transport in carbon nanotubes

et al. 2015

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Carbon nanotubes are a versatile material in which many aspects of condensed matter physics come together. Recent discoveries have uncovered new phenomena that completely change our understanding of transport in these devices, especially the role of the spin and valley degrees of freedom. This review describes the modern understanding of transport through nanotube devices. Unlike in conventional semiconductors, electrons in nanotubes have two angular momentum quantum numbers, arising from spin and valley freedom. The interplay between the two is the focus of this review. The energy levels associated with each degree of freedom, and the spin-orbit coupling between them, are explained, together with their consequences for transport measurements through nanotube quantum dots. In double quantum dots, the combination of quantum numbers modifies the selection rules of Pauli blockade. This can be exploited to read out spin and valley qubits and to measure the decay of these states through coupling to nuclear spins and phonons. A second unique property of carbon nanotubes is that the combination of valley freedom and electron-electron interactions in one dimension strongly modifies their transport behavior. Interaction between electrons inside and outside a quantum dot is manifested in SU(4) Kondo behavior and level renormalization. Interaction within a dot leads to Wigner molecules and more complex correlated states. This review takes an experimental perspective informed by recent advances in theory. As well as the well-understood overall picture, open questions for the field are also clearly stated. These advances position nanotubes as a leading system for the study of spin and valley physics in one dimension where electronic disorder and hyperfine interaction can both be reduced to a low level.

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Quantum transport in carbon nanotubes

et al. 2015

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“…Impressive numerous experiments on the double quantum dots have to be noted [56][57][58][59] including those reporting the observation of the Kondo effect [60][61][62]. The early experimental and theoretical achievements have been summarized by van der Wiel and collaborators [63].…”

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confidence: 99%

Quantum dot as spin current generator and energy harvester

Szukiewicz

Wysokiński

2015

Eur. Phys. J. B

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Abstract. The thermoelectric transport in the device composed of a central nanoscopic system in contact with two electrodes and subject to the external magnetic field of Zeeman type has been studied. The device can support pure spin current in the electrodes and may serve as a source of the temperature induced spin currents with possible applications in spintronics. The system may also be used as an energy harvester. We calculate its thermodynamic efficiency η and the power output P . The maximal efficiency of the device reaches the Carnot value when the device works reversibly but with the vanishing power. The interactions between carriers diminish the maximal efficiency of the device, which under the constant load drops well below the Carnot limit but may exceed the Curzon-Ahlborn limit. While the effect of intradot Coulomb repulsion on η depends on the parameters, the interdot/interlevel interaction strongly diminishes the device efficiency.

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“…11 single carbon nanotube quantum dots display entangled spinorbital SU(4) Kondo physics, 12 while certain nanotube double dot 13 and multi-lead semiconductor coupled dot devices [14][15][16] are described by generalized two-channel models; and nanowire/superconductor heterostructures hosting lead-coupled Majorana fermions give rise to effective multi-channel topological Kondo models. 17,18 Furthermore, quantum impurity problems appear as effective local models within dynamical mean-field theory (DMFT) for correlated materials.…”

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Interleaved numerical renormalization group as an efficient multiband impurity solver

et al. 2016

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Quantum impurity problems can be solved using the numerical renormalization group (NRG), which involves discretizing the free conduction electron system and mapping to a 'Wilson chain'. It was shown recently that Wilson chains for different electronic species can be interleaved by use of a modified discretization, dramatically increasing the numerical efficiency of the RG scheme [Phys. Rev. B 89, 121105(R) (2014)]. Here we systematically examine the accuracy and efficiency of the 'interleaved' NRG (iNRG) method in the context of the single impurity Anderson model, the twochannel Kondo model, and a three-channel Anderson-Hund model. The performance of iNRG is explicitly compared with 'standard' NRG (sNRG): when the average number of states kept per iteration is the same in both calculations, the accuracy of iNRG is equivalent to that of sNRG but the computational costs are significantly lower in iNRG when the same symmetries are exploited. Although iNRG weakly breaks SU(N ) channel symmetry (if present), both accuracy and numerical cost are entirely competitive with sNRG exploiting full symmetries. iNRG is therefore shown to be a viable and technically simple alternative to sNRG for high-symmetry models. Moreover, iNRG can be used to solve a range of lower-symmetry multiband problems that are inaccessible to sNRG.

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Tunable Kondo Physics in a Carbon Nanotube Double Quantum Dot

Cited by 37 publications

References 34 publications

Quantum transport in carbon nanotubes

Quantum transport in carbon nanotubes

Quantum dot as spin current generator and energy harvester

Interleaved numerical renormalization group as an efficient multiband impurity solver

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