Tuning of heat and charge transport by Majorana fermions

Ricco, L. S.; Dessotti, F. A.; Shelykh, I. A.; Figueira, M. S.; Seridonio, A. C.

doi:10.1038/s41598-018-21180-9

Cited by 35 publications

(37 citation statements)

References 38 publications

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“…In a structure with a QD coupled to two electrodes, López et al showed that the thermopower will change its sign by changing the direct hybridization between the MBSs, a good evidence of the existence of MBSs [35]. The sign change of the thermopower was also subsequently found in systems of a QD with two [36] or three [37] electrodes. Moreover, it was demonstrated that the relationship between the shot noise and thermoelectric quantities may provide a purely electrical way to detect the charge-neutral MBSs [38,39].…”

Section: Introductionmentioning

confidence: 96%

“…1) to study the properties of the thermopower. In the nanosystem we considered, the strong Coulomb interaction in the dot, which has been neglected in previous works [18,[22][23][24][34][35][36][37][38][39], is taken into account. Furthermore, we consider that only one spin component of the QD spin is coupled to the MBSs due to the chiral nature of the MBSs [40].…”

Section: Introductionmentioning

confidence: 99%

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Thermoelectric Effect in a Correlated Quantum Dot Side-Coupled to Majorana Bound States

Chi

Liu

et al. 2020

Nanoscale Res Lett

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We theoretically study the thermoelectric effect in a hybrid device composed by a topological semiconducting nanowire hosting Majorana bound states (MBSs) and a quantum dot (QD) connected to the left and right non-magnetic electrodes held at different temperatures. The electron-electron Coulomb interactions in the QD are taken into account by the non-equilibrium Green's function technique. We find that the sign change of the thermopower, which is useful for detecting the MBSs, will occur by changing the QD-MBS hybridization strength, the direct overlap between the MBSs at the opposite ends of the nanowire, and the system temperature. Large value of 100% spin-polarized or pure spin thermopower emerges even in the absence of Zeeman splitting in the QD or magnetic electrodes because the MBSs are coupled to electrons of only one certain spin direction in the QD due to the chiral nature of the Majorana fermions. Moreover, the magnitude of the thermopower will be obviously enhanced by the existence of MBSs.

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Section: Introductionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Thermoelectric Effect in a Correlated Quantum Dot Side-Coupled to Majorana Bound States

Chi

Liu

et al. 2020

Nanoscale Res Lett

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“…Despite this, we believe that the correspondence presented in this work could still hold for certain cases, as in the conventional Kondo effect. [ 50–55 ] However, the correspondence will non‐necessarily hold under two‐stage Kondo effect due to that Fano interference seems to be fragile in the presence of induced superconducting pairing correlations. [ 56 ] In any of these two cases, more research should be carried out in order to confirm our thoughts, which is a matter of further studies.…”

Section: Discussionmentioning

confidence: 99%

“…[ 10–15 ] Nevertheless, distinguishing between MBSs and other spurious‐zero energy modes is challenging, since the ZBCP can also be caused by disorder, multi‐band effects, weak antilocalization, the Kondo effect, and Andreev bound states (ABSs). [ 16 ] Currently, distinguishing MBSs from ABSs is one of the most critical challenges, which has led recently to considerable experimental and theoretical efforts, [ 16–26 ] mostly focused on quantum dots coupled to topological superconductors (QD–MBSs configurations). Indeed, evidence of their existence have been shown by probing their transport conductance spectrum, [ 21,27,28 ] thermal conductance, [ 29 ] current noise, [ 28,30,31 ] ac Josephson effect, [ 32,33 ] and particularly, Fano resonances [ 9,34–40 ]…”

Section: Introductionmentioning

confidence: 99%

Fano‐Andreev and Fano‐Majorana Correspondence in Quantum Dot Hybrid Structures

et al. 2020

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A correspondence on the single-electron transport properties between systems of different nature, a topological quantum system and a (conventional) non-topological one, is demonstrated. Specifically, the equivalence between the Fano resonances obtained in T-shaped double quantum dot system coupled to a superconducting lead (QD-QD-S) and a topological superconductor ring nanowire (QD-MBSs) is presented. The non-zero value of the Fano (anti)resonance in the conductance of the QD-MBSs systems is shown as a consequence of a complex Fano factor q M , which is equivalent to the complex Fano factor q S of the QD-QD-S. The complex nature of q S is understood as a sign of a phase introduced by the superconducting lead in the QD-QD-S. It is because of this phase that the correspondence between the QD-QD-S and the QD-MBSs is possible. It is believed that these results can help to reveal the importance of the Fano interference process toward the understanding of the role of the superconductor lead in the QD-QD-S system as well as giving a clear signature of the presence of MBS's in the topological system.The ORCID identification number(s) for the author(s) of this article can be found under https://doi.org/10.1002/andp.201900409 ModelThe T-shaped double quantum dot is assumed with a singlelevel in each quantum dot, which are coupled to two normal

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“…The presence of the term cos(l √ b) in ε M is responsible for the oscillatory pattern in conductance as function of the magnetic field. The couplings between the upper/lower MBSs and the QD are given by λ 1 and λ 2 , respectively 34 . As known, the Hamiltonian of Eq.…”

Section: The Modelmentioning

confidence: 99%

Majorana oscillations modulated by Fano interference and degree of nonlocality in a topological superconducting-nanowire–quantum-dot system

et al. 2018

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We explore theoretically the influence of Fano interference in the so-called Majorana oscillations in a T-shaped hybrid setup formed by a quantum dot (QD) placed between conducting leads and sidecoupled to a topological superconducting nanowire (TSNW) hosting zero-energy Majorana bound states (MBSs) at the ends. Differential conductance as a function of the external magnetic field reveals oscillatory behavior. Both the shape and amplitude of the oscillations depend on the biasvoltage, degree of MBSs non-locality and Fano parameter of the system determining the regime of interference. When the latter is such that direct lead-lead path dominates over lead-QD-lead path and the bias is tuned in resonance with QD zero-energy, pronounced fractional Fano-like resonances are observed around zero-bias for highly non-local geometries. Further, the conductance profiles as a function of both bias-voltage and QD energy level display "bowtie" and "diamond" shapes, in qualitative agreement with both previous theoretical and experimental works. These findings ensure that our proposal can be used to estimate the degree of MBS non-locality, thus allowing to investigate their topological properties. arXiv:1802.07106v2 [cond-mat.mes-hall] 30 Sep 2018 wherein H o = k ε k c † o,k c o,k −V SD k,q c † o,k c o,q describes the odd conduction states, which are decoupled from the QD 9 .The term 34

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Tuning of heat and charge transport by Majorana fermions

Cited by 35 publications

References 38 publications

Thermoelectric Effect in a Correlated Quantum Dot Side-Coupled to Majorana Bound States

Thermoelectric Effect in a Correlated Quantum Dot Side-Coupled to Majorana Bound States

Fano‐Andreev and Fano‐Majorana Correspondence in Quantum Dot Hybrid Structures

Majorana oscillations modulated by Fano interference and degree of nonlocality in a topological superconducting-nanowire–quantum-dot system

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