Majorana bound state in the continuum: Coupling between a Majorana bound state and a quantum dot mediated by a continuum energy spectrum

Ramos-Andrade, J. P.; Orellana, P. A.; Vernek, E.

doi:10.1103/physrevb.101.115403

Cited by 13 publications

(7 citation statements)

References 39 publications

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“…The Majorana mode is assumed to be provided by a fully polarized spin-down. [24] When we consider the spin-dependent coupling, the quantum dot will be changed by the spin coupling in the electrode. When p increases, the corresponding spin-down coupling is strengthened.…”

Section: Resultsmentioning

confidence: 99%

“…[19][20][21] The QD-coupled Majorana wire was used to detect the Majorana bound states under the spin-polarized condition. [22][23][24][25][26] They explored the spin properties inside the Majorana by constructing the coupling between the electrode and the Majorana QD system. [27][28][29] Studying the spin-dependent properties plays an important role in the hybrid Majorana QD system.…”

Section: Introductionmentioning

confidence: 99%

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Phase- and spin-dependent manipulation of leakage of Majorana mode into double quantum dot*

Yang¹,

Ren²,

Xie³

2021

Chinese Phys. B

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We present a phase- and spin-dependent manipulation of leakage of a Majorana mode into a double quantum dot. We study the density of states (DOS) to show the effect of phase change factor on the Majorana leakage into (out) of a double quantum dot. The DOS is derived from the Green’s function of the quantum dot by the equation of motion method, and exhibits a formant structure when ϕ = 0,2π and a resonance shape when ϕ = 0.5π and 1.5π. Also, it changes more strongly under the spin-polarized coefficient than the non-polarized lead. Such a theoretical model can be modified to explore the spin-dependent effect in the hybrid Majorana quantum dot system.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Phase- and spin-dependent manipulation of leakage of Majorana mode into double quantum dot*

Yang¹,

Ren²,

Xie³

2021

Chinese Phys. B

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“…On the other hand, the incorporation of QDs to systems hosting MZMs has posed the question of how do quantum correlation effects might influence eventual measurements [13][14][15]. The Kondo effect in single occupation QDs shows itself as conductance peaks close * gustavo.lara@uantof.cl to zero-energy [16].…”

Section: Introductionmentioning

confidence: 99%

Kondo effect in a quantum dot embedded between topological superconductors

Lara¹,

Ramos-Andrade²,

Zambrano³

et al. 2021

Preprint

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In this work, we study the quantum transport through a single-level quantum-dot within the Kondo regime, coupled to current leads and embedded between two one-dimensional topological superconductors, each hosting Majorana zero modes at their ends. The Kondo effect in the quantum dot is modeled by mean-field finite-U slave boson approximation and solved by using the non-equilibrium Green function approach. First, we calculate the density of states of the quantum dot, and then both the current and the differential conductance through the quantum dot in order to characterize the interplay between the Kondo resonance and Majorana zero modes. The results reveal that the presence of Majorana zero modes alters the Kondo resonance exhibiting an anti-resonance structure in the density of states, leading to obtain spin-resolved behavior of the measurable current and differential conductance. We believe our findings could be helpful to understand the behavior of the Kondo effect in connection with Majorana zero modes.

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“…[31] Furthermore, Floquet MBSs (zero mode and π mode) were theoretically studied in planar Josephson junctions, in which the subharmonic response to the external drive tuned by a top gate was found when both zero and π Majorana modes are present. [34] Additionally, in the latest reports, [35][36][37][38] nanosystems consisting of a hybrid superconducting nanowire coupled to a single QD and/or double quantum dots (DQDs) attached to a single normal metallic lead have been theoretically discussed.…”

Section: Introductionmentioning

confidence: 99%

Probing the Majorana bound states in a hybrid nanowire double-quantum-dot system by scanning tunneling microscopy*

Liu

Chi

et al. 2020

Chinese Phys. B

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We propose an interferometer composing of a scanning tunneling microscope (STM), double quantum dots (DQDs), and a semiconductor nanowire carrying Majorana bound states (MBSs) at its ends induced by the proximity effect of an s-wave superconductor, to probe the existence of the MBSs in the dots. Our results show that when the energy levels of DQDs are aligned to the energy of MBSs, the zero-energy spectral functions of DQDs are always equal to 1/2, which indicates the formation of the MBSs in the DQDs and is also responsible for the zero-bias conductance peak. Our findings suggest that the spectral functions of the DQDs may be an excellent and convenient quantity for detecting the formation and stability of the spatially separated MBSs in quantum dots.

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Majorana bound state in the continuum: Coupling between a Majorana bound state and a quantum dot mediated by a continuum energy spectrum

Cited by 13 publications

References 39 publications

Phase- and spin-dependent manipulation of leakage of Majorana mode into double quantum dot*

Phase- and spin-dependent manipulation of leakage of Majorana mode into double quantum dot*

Kondo effect in a quantum dot embedded between topological superconductors

Probing the Majorana bound states in a hybrid nanowire double-quantum-dot system by scanning tunneling microscopy*

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