Detecting coupling of Majorana bound states with an Aharonov–Bohm interferometer

Ramos-Andrade, J. P.; Orellana, P. A.; Ulloa, Sergio E.

doi:10.1088/1361-648x/aaa1b2

Cited by 15 publications

(14 citation statements)

References 47 publications

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“…Starting from this point, the advance in experimental techniques and the consideration of theoretical proposals have led, among others, to the use of quantum dots (QDs) in interplay with MZMs [7][8][9], since they own regular fermionic states. In this scenario, both theoretical predictions and experimental measurements have shown zero-bias peaks in a QD connected with MZMs [10], regardless the QD's energy level [11,12]. Therefore, this phenomenon was ascribed as a MZM-leakage into the QD [8,11].…”

Section: Introductionmentioning

confidence: 92%

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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Section: Introductionmentioning

confidence: 92%

Kondo effect in a quantum dot embedded between topological superconductors

Lara¹,

Ramos-Andrade²,

Zambrano³

et al. 2021

Preprint

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“…Finally, the coupling between the MZMs and the quantum ring is given by 17 – 19 where and are real parameters [see also Fig. 1 ].…”

Section: System and Model Hamiltonianmentioning

confidence: 99%

Manipulation of Majorana bound states in proximity to a quantum ring with Rashba coupling

Medina

Martínez

Díaz‐Fernández

et al. 2022

Sci Rep

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The quest for Majorana zero modes in the laboratory is an active field of research in condensed matter physics. In this regard, there have been many theoretical proposals; however, their experimental detection remains elusive. In this article, we present a realistic setting by considering a quantum ring with Rashba spin-orbit coupling and threaded by a magnetic flux, in contact with a topological superconducting nanowire. We focus on spin-polarized persistent currents to assess the existence of Majorana zero modes. We find that the Rashba spin-orbit coupling allows for tuning the position of the zero energy crossings in the flux parameter space and has sizable effects on spin-polarized persistent currents. We believe that our results will contribute towards probing the existence of Majorana zero modes.

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“…[ 23,24 ] Currently, distinguishing MBSs from ABSs is one of the most critical challenges, which has led to considerable theoretical proposals, [ 24–32 ] mostly focused on quantum dots coupled to topological superconductors (QD–MBSs configurations). Indeed, indications of their existence have been shown by probing their transport conductance spectrum, [ 29,33–36 ] thermal conductance, [ 37,38 ] ac Josephson effect, [ 39,40 ] generation and discontinuities of persistent currents [ 41,42 ] and current noise correlations. [ 26,34,43–48 ] Particularly, it has been proposed to combine tunneling conductance and shot noise correlations measurements as a complementary diagnosis method to distinguish real from fake MBSs.…”

Section: Introductionmentioning

confidence: 99%

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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Detecting coupling of Majorana bound states with an Aharonov–Bohm interferometer

Cited by 15 publications

References 47 publications

Kondo effect in a quantum dot embedded between topological superconductors

Kondo effect in a quantum dot embedded between topological superconductors

Manipulation of Majorana bound states in proximity to a quantum ring with Rashba coupling

Majorana Bound States Hallmarks in a Quantum Topological Interferometer Ring

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