Transport through a quantum dot coupled to two Majorana bound states

Zeng, Qi-Bo; Chen, Shu; You, Li; Rong, Lü

doi:10.1007/s11467-016-0620-3

Cited by 27 publications

(30 citation statements)

References 45 publications

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“…Particularly, we take advantage of the Fano interference process to understand the correspondence that arises between these two systems. Besides the fact that the Fano resonances can give a clear signature of the existence of MBSs in the QD–MBSs, [ 37 ] we show the conditions to obtain the same Fano signal but in the non‐topological QD–QD–S system which is due to the ABSs. Furthermore, we show that the Fano effect of each system is determined by their own structural parameters, that is, QD–S coupling, QD–normal leads coupling, and the coupling between the MBSs.…”

Section: Introductionmentioning

confidence: 73%

“…Through the two metal leads connected to the QD, we can detect transport properties of the system. [ 44 ] The retarded Green function of the QD for the system QD‐MBSs (Figure 1b) has the following form [37]

G_{d, d^{†}}^{r} (ε) = {([] ε - ε_{d} + i \frac{normalΓ}{2} - A (ε) - B (ε))}^{- 1}

where

A false(ε false) = K (| λ_{1} {false|}^{2} + | λ_{2} {false|}^{2} + \frac{2 ε_{M}}{ε} | λ_{1} | | λ_{2} | \cos \frac{ϕ}{2})

and

B false(ε false) = \frac{K^{2} false(false| λ_{1} {false|}^{4} + false| λ_{2} {false|}^{4} - 2 false| λ_{1} {false|}^{2} false| λ_{2} |^{2} \cos ϕ false)}{(ε + ε_{d} + i \frac{normalΓ}{2} - A false(ε false))}

, with K and Γ being defined as

K = \frac{ε}{ε^{2} - ε_{M}^{2}}

and

Γ = {normalΓ}_{L} + {normalΓ}_{R}

. The parameter

ε_{M}

is the overlap of the Majorana fermions γ 1 and γ 2 and

ε_{d}

is the energy of the QD.…”

Section: Modelmentioning

confidence: 99%

“…We remit the readers to ref. [37] for details of the Hamiltonian and detailed derivations corresponding to the QD–MBS system.…”

Section: Modelmentioning

confidence: 99%

“…In contrast to the aforementioned efforts to distinguish MBSs transport properties from the ABSs in topological superconductors, in this paper we demonstrate an interesting case where the quantum transport of MBSs in a topological superconducting quantum interferometer [ 37 ] is corresponding to the quantum transport of ABSs in a conventional T‐shape quantum dot system (without topology). [ 41–43 ] We specifically show that the quantum transport of a system of two quantum dots coupled in T‐shape to two metallic leads and one conventional superconductor lead–which we will denote as QD–QD–S or as the non‐topological system, is corresponding to a topological configuration consisting of a QD coupled to two MBSs confined at the ends of a 1D topological superconductor nanowire–denoted here as QD–MBSs, [ 37 ] which has been experimentally proposed by Chiu in ref [44]. Particularly, we take advantage of the Fano interference process to understand the correspondence that arises between these two systems.…”

Section: Introductionmentioning

confidence: 96%

“…[ 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%

See 4 more Smart Citations

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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Section: Introductionmentioning

confidence: 73%

G_{d, d^{†}}^{r} (ε) = {([] ε - ε_{d} + i \frac{normalΓ}{2} - A (ε) - B (ε))}^{- 1}

where

A false(ε false) = K (| λ_{1} {false|}^{2} + | λ_{2} {false|}^{2} + \frac{2 ε_{M}}{ε} | λ_{1} | | λ_{2} | \cos \frac{ϕ}{2})

and

B false(ε false) = \frac{K^{2} false(false| λ_{1} {false|}^{4} + false| λ_{2} {false|}^{4} - 2 false| λ_{1} {false|}^{2} false| λ_{2} |^{2} \cos ϕ false)}{(ε + ε_{d} + i \frac{normalΓ}{2} - A false(ε false))}

, with K and Γ being defined as

K = \frac{ε}{ε^{2} - ε_{M}^{2}}

and

Γ = {normalΓ}_{L} + {normalΓ}_{R}

. The parameter

ε_{M}

is the overlap of the Majorana fermions γ 1 and γ 2 and

ε_{d}

is the energy of the QD.…”

Section: Modelmentioning

confidence: 99%

“…We remit the readers to ref. [37] for details of the Hamiltonian and detailed derivations corresponding to the QD–MBS system.…”

Section: Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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

et al. 2020

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Majorana Bound States Hallmarks in a Quantum Topological Interferometer Ring

2021

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In this work, the conductance and current correlations properties of a quantum topological interferometer consisting of a quantum dot coupled to two Majorana bound states (MBSs) confined at both ends of a 1D topological superconductor ring nanowire is investigated. The ring in its topological nontrivial and trivial phases is analyzed to show that the tunneling conductance, shot noise, and Fano factor present unique characteristics to distinguish the hallmark of MBSs. The findings are reinforced by taking advantage of the full correspondence between the quantum topological interferometer and a quantum‐dot effectively coupled to a single Majorana state in a straight topological superconductor wire configuration. It is shown that besides the characteristic zero‐bias conductance e2/2h and the already known shot noise features, the Fano factor provides significant information to distinguish the MBSs presence.

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Linear dipole behavior of single quantum dots encased in metal oxide semiconductor nanoparticles films

Peng

Xie

et al. 2018

Front. Phys.

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Transport through a quantum dot coupled to two Majorana bound states

Cited by 27 publications

References 45 publications

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

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

Majorana Bound States Hallmarks in a Quantum Topological Interferometer Ring

Linear dipole behavior of single quantum dots encased in metal oxide semiconductor nanoparticles films

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