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

Ricco, L. S.; Campo, Vivaldo L.; Shelykh, I. A.; Seridonio, A. C.

doi:10.1103/physrevb.98.075142

Cited by 43 publications

(32 citation statements)

References 41 publications

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“…They are connected to leads L and R by tunnel couplings,

V_{L, k}^{true(j true)}

and

V_{R, k^{'}}^{true(j true)}

(

j = 1, 2

). It should be noted that they depend on the state

k

(

k^{'}

) in lead L ( R ) in the presence of multiple channels in the leads, whereas the tunnel couplings are assumed to be independent of the states in the leads in almost all the previous papers . The chemical potentials in the leads are

μ_{L}

and

μ_{R}

with bias voltage

e V = μ_{L} - μ_{R}

between them.…”

Section: Model and Calculation Methodsmentioning

confidence: 99%

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Fano Resonance in Transport Through Double Quantum Dot in Parallel

Zhang

Eto

2019

Physica Status Solidi (b)

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The transport properties of double quantum dot (DQD) in parallel are theoretically examined. This system simulates a mesoscopic ring with an embedded quantum dot, so-called Aharonov-Bohm (AB) interferometer, by enlarging the line width in one of the quantum dots. We find that: 1) the Coulomb peak shows an asymmetric shape of Fano resonance when the DQD is coupled to external leads with single conduction channel; 2) the peak becomes more symmetric for the leads with multiple channels; and 3) the resonant shape is characterized by a single parameter which is determined by the structure of the leads. Our theory may explain the experimental results on the transport through the AB interferometer; an asymmetric Fano resonance was observed by one group while a symmetric Breit-Wigner resonance was observed by the other groups.

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“…They are connected to leads L and R by tunnel couplings,

V_{L, k}^{true(j true)}

and

V_{R, k^{'}}^{true(j true)}

(

j = 1, 2

). It should be noted that they depend on the state

k

(

k^{'}

μ_{L}

and

μ_{R}

with bias voltage

e V = μ_{L} - μ_{R}

between them.…”

Section: Model and Calculation Methodsmentioning

confidence: 99%

“…A similar model was also examined for the phase measurement in the Kondo regime in the multi‐terminal geometry . Very recently, the Fano resonance was proposed to use for the detection of the Majorana bound states …”

Section: Introductionmentioning

confidence: 99%

Fano Resonance in Transport Through Double Quantum Dot in Parallel

Zhang

Eto

2019

Physica Status Solidi (b)

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“…This is quite different from the Josephson current with 2π periodicity in the usual junctions. Meanwhile, there were also some proposes of hybridizing a quantum dot (QD) to one end of a TSNW [16][17][18][19][20] in that the information of the MBSs will "leak" into the QD and then can be detected by spectroscopy transport measurements in a noninvasive way [21,22]. Some other proposals such as the thermoelectric effect [23] and optical schemes [24,25] based on QDs were also put forward.…”

Section: Introductionmentioning

confidence: 99%

Quantum Interference Effects in Quantum Dot Molecular With Majorana Bound States

Chi

Wang

et al. 2021

Front. Phys.

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Non-invasive detection of the Majorana bound state (MBSs), a kind of quasiparticle without charge and mass, is one of the core issues in current condensed matter physics. Here we study in theory the quantum interference effect in parallel-coupled double quantum dots which are connected either by Majorana bound states (MBSs) or regular fermions. We find that the zero-energy conductance develops a sharp peak when the dots are connected by the MBSs, whereas that in the case of the dots are coupled via regular fermions shows a valley. By varying the coupling strength between the dots and the electron reservoirs, the conductance in the two structures changes in different ways. By comparing the properties of the linear conductance in the two systems, the information of the MBSs formed at the two ends of a topological superconductor nanowire then can be inferred. We also find that the MBSs in the present structure also induces the Fano effect, and is favorable in quantum information processing.

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“…An interesting development is the coupling of quantum dots (QDs) to one of the edges of a TSQW [2,[12][13][14][15][16][17][18][19]. It has been shown that the MZM "leaks" into the quantum dot, a phenomena that can be possibly observed by spectroscopy transport measurements by coupling the QD to source and drain leads [20,21].…”

Section: Introductionmentioning

confidence: 99%

Robustness of the Kondo effect in a quantum dot coupled to Majorana zero modes

Silva

Vernek

2020

Phys. Rev. B

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The prospect of using semiconductor quantum dots as an experimental tool to distinguish Majorana zero modes (MZMs) from other zero-energy excitations such as Kondo resonances has brought up the fundamental question of whether topological superconductivity and the Kondo effect can coexist in these systems. Here, we study the Kondo effect in a quantum dot coupled to a metallic contact and to a pair of MZMs. We consider a situation in which the MBS are spin polarized in opposite directions. By using numerical renormalization-group calculations and scaling analysis of the renormalization group equations, we show that the Kondo effect takes place at low temperatures, regardless the coupling to the MZMs. Interestingly, we find that the Kondo singlet essentially decouples from the MZMs such that the residual impurity entropy can show local non-Fermi liquid properties characteristic of the single Majorana excitations. This offers the possibility of tuning between Fermi-liquid and non-Fermi-liquid regimes simply by changing the quantum dot-MZM couplings.arXiv:1910.07026v1 [cond-mat.str-el]

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

Cited by 43 publications

References 41 publications

Fano Resonance in Transport Through Double Quantum Dot in Parallel

Fano Resonance in Transport Through Double Quantum Dot in Parallel

Quantum Interference Effects in Quantum Dot Molecular With Majorana Bound States

Robustness of the Kondo effect in a quantum dot coupled to Majorana zero modes

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