1D Majorana Goldstinos and partial supersymmetry breaking in quantum wires

Marra, Pasquale; Inotani, Daisuke; Nitta, Muneto

doi:10.1038/s42005-022-00920-4

Cited by 8 publications

(2 citation statements)

References 135 publications

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“…A similar effect was also studied in Ref. [30], where MZMs can slide along the wire by applying a rotating magnetic field, while a more detailed theoretical description about the construction of Majorana quantum gates based on ESR-STM techniques can be found in Ref. [29].…”

Section: Spirals With Different Spiraling Angles and Braidingmentioning

confidence: 80%

Topological superconductivity from first principles. II. Effects from manipulation of spin spirals: Topological fragmentation, braiding, and quasi-Majorana bound states

Lászlóffy,

Nyári,

Csire

et al. 2023

Phys. Rev. B

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Recent advances in electron spin resonance techniques have allowed the manipulation of the spin of individual atoms, making magnetic atomic chains on superconducting hosts one of the most promising platform where topological superconductivity can be engineered. Motivated by this progress, we provide a detailed, quantitative description of the effects of manipulating spins in realistic nanowires by applying a first-principles-based computational approach to a recent experiment: an iron chain deposited on top of an Au/Nb heterostructure. As a continuation of the preceding paper, experimentally relevant computational experiments are performed in spin spiral chains that shed light on several concerns about practical applications and add new aspects to the interpretation of recent experiments. We explore the stability of topological zero-energy states, the formation and distinction of topologically trivial and nontrivial zero energy edge states, the effect of local changes in the exchange fields, the emergence of topological fragmentation, and the shift of Majorana zero modes along the superconducting nanowires, opening avenues toward the implementation of a braiding operation.

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Section: Spirals With Different Spiraling Angles and Braidingmentioning

confidence: 80%

Topological superconductivity from first principles. II. Effects from manipulation of spin spirals: Topological fragmentation, braiding, and quasi-Majorana bound states

Lászlóffy,

Nyári,

Csire

et al. 2023

Phys. Rev. B

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“…Chiral symmetric systems [27] such as Rashba nanowire systems [28] and Kitaev chain [29,30] are needed to study topological superconductor. Rashba nanowire systems can host Majorana fermions [31,32]. Also, the Zeeman field splits spin states into spin-polarized states causing the pair break-ing for the s-wave superconductivity [33] and realizing the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state [34].…”

Section: Introductionmentioning

confidence: 99%

Revival of superconductivity in a one-dimensional dimerized diamond lattice

Shahbazi,

Hosseini

2023

Sci Rep

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We study an s-wave superconductivity in a one-dimensional dimerized diamond lattice in the presence of spin–orbit coupling and Zeeman field. The considered diamond lattice, comprising of three sublattices per unitcell and having flat band, has two dimerization patterns; the intra unitcell hoppings have the same (opposite) dimerization pattern as the corresponding inter unitcell hoppings, namely, neighboring (facing) dimerization. Using the mean-field theory, we calculate the superconducting order parameter self-consistently and examine the stability of the superconducting phase against the spin–orbit coupling, Zeeman splitting, dimerization, and temperature. We find that the spin–orbit coupling or Zeeman splitting individually has a detrimental effect on the superconductivity, mostly for the facing dimerization. But their mutual effect revives the superconductivity at charge neutrality point for the facing dimerization.

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