Spin-polarized Majorana zero modes in double zigzag honeycomb nanoribbons

Bento, Ribeiro, R. C.; Correa, J. H.; Ricco, L. S.; Seridonio, A. C.; Figueira, M. S.

doi:10.1103/physrevb.105.205115

Cited by 5 publications

(19 citation statements)

References 84 publications

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“…4(b)]. This finding is similar to what was obtained in our previous work [36], wherein the MZMs emerge at the opposite ends of a finite double zHNR.…”

Section: Iii1 Finite Spinless P-sinrssupporting

confidence: 90%

“…Under the presence of a strong RSOC arising from the Pb atoms and an applied magnetic field, the s-wave Cooper pairs of the Pb film can enter into the p-SiNR region via proximity effect (Andreev reflections) [14], giving rise to a p-wave-induced pairing in the double p-SiNRs structure. By following the same procedure done in our previous work [36] and based on the Kitaev model [12], we introduce a spinless p-wave superconducting pairing ∆ between the "external" pink and yellow atoms of the same type as shown in Fig. 3.…”

Section: Ii2 Effective Hamiltonian -Spinless Casementioning

confidence: 99%

“…In order to properly account for the spin degree of freedom in the superconducting p-SiNRs, we follow our previous work [36]. We introduce a Zeeman effect due to the application of an external magnetic field perpendicular to 4 the p-SiNRs plane.…”

Section: Ii3 Effective Hamiltonian -Spinful Casementioning

confidence: 99%

“…One possible alternative platform is the onedimensional honeycomb nanoribbons (HNRs) that have been receiving growing attention in the literature [33][34][35][36]. Nevertheless, the mono-elemental 2D graphene-like materials coined Xenes, where X represents elements from group IIIA to group VIA of the periodic table, could constitute possible candidates to build HNRs with the ability to harbor MZMs at their ends [37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

“…A paradigmatic breakthrough would be the experimental implementation of the generic Kitaev toy model with a silicon platform [12]. In a previous work [36], we addressed the problem of Majorana spin discrimination employing a double-spin Kitaev zigzag honeycomb nanoribbons (KzHNR), which mimics two parallel Ki- taev chains connected by the hopping t (see figure 1 of [36]). Since such KzHNRs have not been realized in experiments, we look instead in the present paper at the possibility of obtaining MZMs in p-SiNRs, harboring Dirac fermions, which have been epitaxially grown on Ag(110) surfaces [11,[42][43][44].…”

Section: Introductionmentioning

confidence: 99%

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Spin-Polarized Majorana Zero Modes in Proximitized Superconducting Penta-Silicene Nanoribbons

Bento

Correa

Ricco

et al. 2023

Preprint

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We theoretically investigate the possibility of obtaining Majorana zero modes (MZMs) in penta-silicene nanoribbons (p-SiNRs) with induced \textit{p}-wave superconductivity. The model explicitly considers an external magnetic field perpendicularly applied to the nanoribbon plane, as well as an extrinsic Rashba spin-orbit coupling (RSOC), in addition to the first nearest neighbor hopping term and \textit{p}-wave superconducting pairing. By analyzing the dispersion relation profiles, we observe the successive closing and reopening of the induced superconducting gap with a single spin component, indicating a spin-polarized topological phase transition (TPT). Correspondingly, the plots of the energy spectrum versus the chemical potential reveal the existence of zero-energy states with a preferential spin orientation characterized by nonoverlapping wave functions localized at opposite ends of the superconducting p-SiNRs. These findings strongly suggest the emergence of topologically protected, spin-polarized MZMs at the ends of the p-SiNRs with induced \textit{p}-wave superconducting pairing, which can be realized by proximitizing the nanoribbon with an \textit{s}-wave superconductor, such as lead. The proposal paves the way for silicene-based Majorana devices hosting multiple MZMs with a well-defined spin orientation, with possible applications in fault-tolerant quantum computing platforms and Majorana spintronics.

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“…4(b)]. This finding is similar to what was obtained in our previous work [36], wherein the MZMs emerge at the opposite ends of a finite double zHNR.…”

Section: Iii1 Finite Spinless P-sinrssupporting

confidence: 90%

Section: Ii2 Effective Hamiltonian -Spinless Casementioning

confidence: 99%

Section: Ii3 Effective Hamiltonian -Spinful Casementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Spin-Polarized Majorana Zero Modes in Proximitized Superconducting Penta-Silicene Nanoribbons

Bento

Correa

Ricco

et al. 2023

Preprint

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Spin-polarized Majorana zero modes in proximitized superconducting penta-silicene nanoribbons

Bento Ribeiro,

Correa,

Ricco

et al. 2023

Sci Rep

Self Cite

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We theoretically propose penta-silicene nanoribbons (p-SiNRs) with induced p-wave superconductivity as a platform for the emergence of spin-polarized Majorana zero-modes (MZMs). The model explicitly considers the key ingredients of well-known Majorana hybrid nanowire setups: Rashba spin-orbit coupling, magnetic field perpendicular to the nanoribbon plane, and first nearest neighbor hopping with p-wave superconducting pairing. The energy spectrum of the system, as a function of chemical potential, reveals the existence of MZMs with a well-defined spin orientation localized at the opposite ends of both the top and bottom chains of the p-SiNR, associated with well-localized and nonoverlapping wave function profiles. Well-established experimental techniques enable the fabrication of highly ordered p-SiNRs, complemented by a thin lead film on top, responsible for inducing p-wave superconductivity through proximity effect. Moreover, the emergence of MZMs with explicit opposite spin orientations for some set of model parameters opens a new avenue for exploring quantum computing operations, which accounts for both MZMs and spin properties, as well as for new MZMs probe devices based on spin-polarized electronic transport mechanisms.

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Sequencing one-dimensional Majorana materials for topological quantum computing

Minissale,

Bondavalli,

Figueira

et al. 2024

J. Phys. Mater.

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Majorana fermions are a fascinating class of particles with unique and intriguing properties: they are their own antiparticles, as first theorized by the Italian physicist Ettore Majorana in 1937. In recent decades, research in condensed matter physics shows theoretically that in certain exotic states of matter, such as topological superconductors, pairs of Majorana fermions can emerge as bound states at defects or interfaces, known as Majorana Zero Modes (MZMs). They behave like non-local anyons and could be used as decoherence-protected qubits. After the seminal work of Kitaev (2001), one-dimensional artificial setups have been developed in line with the concept of the Kitaev chain to implement MZMs. As no definite proof has yet been widely accepted by the community, improvements in the architectures and setups have been realized, and different platforms have been devised, which could be kinds of ‘DNA’ in this rapidly evolving vivid ecosystem. Here, we sequence these ‘DNAs’ and draw perspectives for topological quantum computation.

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Spin-polarized Majorana zero modes in double zigzag honeycomb nanoribbons

Cited by 5 publications

References 84 publications

Spin-Polarized Majorana Zero Modes in Proximitized Superconducting Penta-Silicene Nanoribbons

Spin-Polarized Majorana Zero Modes in Proximitized Superconducting Penta-Silicene Nanoribbons

Spin-polarized Majorana zero modes in proximitized superconducting penta-silicene nanoribbons

Sequencing one-dimensional Majorana materials for topological quantum computing

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