Majorana Fermions in spin up and down electronic complexes in spin-orbit coupled array of semiconductor quantum dots in proximity to $s$-type superconductor and in magnetic field

Fuente: arXiv
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Autores principales: Islam, Mijanur, Mohseni, Mahan, Assi, Ibsal, Miravet, Daniel, Hawrylak, Pawel
Formato: Preprint
Publicado: 2026
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author Islam, Mijanur
Mohseni, Mahan
Assi, Ibsal
Miravet, Daniel
Hawrylak, Pawel
author_facet Islam, Mijanur
Mohseni, Mahan
Assi, Ibsal
Miravet, Daniel
Hawrylak, Pawel
contents Semiconductor-s-type superconductor nanowires host spinful fermions and cannot be reduced to a single spinless Kitaev chain hosting single Majorana zero mode. Instead, such systems can be converted into two coupled p-wave Kitaev-like chains associated with different spin sectors. Using the bond Fermion transformation and exact diagonalization, we analyze parity resolved spectra and local spectral functions, demonstrating that zero-energy modes strongly localized at the system boundaries emerge only in one effective chain. Inter-chain coupling lifts parity degeneracy and redistributes the low-energy spectral weight, providing a controlled framework to assess the stability of Majorana-like modes in the finite spinful nanowires.
format Preprint
id arxiv_https___arxiv_org_abs_2601_14527
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Majorana Fermions in spin up and down electronic complexes in spin-orbit coupled array of semiconductor quantum dots in proximity to $s$-type superconductor and in magnetic field
Islam, Mijanur
Mohseni, Mahan
Assi, Ibsal
Miravet, Daniel
Hawrylak, Pawel
Mesoscale and Nanoscale Physics
Materials Science
Semiconductor-s-type superconductor nanowires host spinful fermions and cannot be reduced to a single spinless Kitaev chain hosting single Majorana zero mode. Instead, such systems can be converted into two coupled p-wave Kitaev-like chains associated with different spin sectors. Using the bond Fermion transformation and exact diagonalization, we analyze parity resolved spectra and local spectral functions, demonstrating that zero-energy modes strongly localized at the system boundaries emerge only in one effective chain. Inter-chain coupling lifts parity degeneracy and redistributes the low-energy spectral weight, providing a controlled framework to assess the stability of Majorana-like modes in the finite spinful nanowires.
title Majorana Fermions in spin up and down electronic complexes in spin-orbit coupled array of semiconductor quantum dots in proximity to $s$-type superconductor and in magnetic field
topic Mesoscale and Nanoscale Physics
Materials Science
url https://arxiv.org/abs/2601.14527