Fano‐Majorana Effect and Bound States in the Continuum on a Crossbar‐Shaped Quantum Dot Hybrid Structure

Ramos-Andrade, J. P.; Zambrano, D.; Orellana, P. A.

doi:10.1002/andp.201800498

Cited by 19 publications

(11 citation statements)

References 59 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is worth mentioning that Eq. ( 7 ) has the shape similar to those derived by Zienkiewicz et al 61 , Górski and Kucab 77 (without the S reservoir) and Ramos–Andrade et al 93 (for a QD between N leads and side coupled to two TSC nanowires). However, in none of these references finite , necessary for the estimation of the degree of Majorana nonlocality, was introduced.…”

Section: Methodssupporting

confidence: 81%

Topological isoconductance signatures in Majorana nanowires

Ricco

Sanches

Marques

et al. 2021

Sci Rep

View full text Add to dashboard Cite

We consider transport properties of a hybrid device composed by a quantum dot placed between normal and superconducting reservoirs, and coupled to a Majorana nanowire: a topological superconducting segment hosting Majorana bound states (MBSs) at the opposite ends. It is demonstrated that if highly nonlocal and nonoverlapping MBSs are formed in the system, the zero-bias Andreev conductance through the dot exhibits characteristic isoconductance profiles with the shape depending on the spin asymmetry of the coupling between the dot and the topological superconductor. Otherwise, for overlapping MBSs with less degree of nonlocality, the conductance is insensitive to the spin polarization and the isoconductance signatures disappear. This allows to propose an alternative experimental protocol for probing the nonlocality of the MBSs in Majorana nanowires.

show abstract

Section: Methodssupporting

confidence: 81%

Topological isoconductance signatures in Majorana nanowires

Ricco

Sanches

Marques

et al. 2021

Sci Rep

View full text Add to dashboard Cite

show abstract

“…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

View full text Add to dashboard Cite

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.

show abstract

“…Fano resonances in the presence of MZMs were investigated in various transmission geometries, allowing quantum interference between multiple propagation paths, one of them being the Majorana channel [64][65][66][67][68][69][70][71][72][73] . The purpose of such approaches was mainly identification of Majorana states due to their chirality, manifested when MZM is tunnel-coupled to external reservoirs.…”

Section: Introductionmentioning

confidence: 99%

Sub-gap Fano resonances in a topological superconducting wire with on-site Coulomb interactions

Stefański

2021

Preprint

View full text Add to dashboard Cite

We consider theoretically a 1D-semiconducting wire with strong Rashba interaction in proximity with s-wave superconductor, driven into topological phase by external magnetic field. Additionally, we take into account on-site Coulomb interactions inside the wire. The system is modelled by a tight binding Hamiltonian with Rashba hopping term and induced s-wave superconductivity. Calculations are performed utilizing recursive Green's function method, and Coulomb interactions are treated selfconsistently within Hubbard I approximation. For the Hubbard levels residing within p-wave superconducting gap, particle-hole symmetric four-resonance structure develops in the density of states, apart from Majorana resonance. One pair of particle-hole symmetric resonances is created by the discrete II-Hubbard levels of the particular site, and the second pair of Hubbard sub-bands originates from recursive summation over the sites of the wire. Quantum interference between both types of pairs of states creates in-gap charge-conjugated Fano resonances with opposite asymmetry factors. We demonstrate that when quantum interference is dominated by two-particle tunneling, the Majorana resonance is strongly diminished, while it is not altered when single-particle tunneling dominates in interference process. We also discuss some consequences for experimental distinction of true Majorana states, and show that on-site Coulomb interactions support the appearance of topological phase.

show abstract

Fano‐Majorana Effect and Bound States in the Continuum on a Crossbar‐Shaped Quantum Dot Hybrid Structure

Cited by 19 publications

References 59 publications

Topological isoconductance signatures in Majorana nanowires

Topological isoconductance signatures in Majorana nanowires

Kondo effect in a quantum dot embedded between topological superconductors

Sub-gap Fano resonances in a topological superconducting wire with on-site Coulomb interactions

Contact Info

Product

Resources

About