Optimizing proximitized magnetic topological insulator nanoribbons for Majorana bound states

Fuente: arXiv
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Main Authors: Zsurka, Eduárd, Di Miceli, Daniele, Legendre, Julian, Serra, Llorenç, Grützmacher, Detlev, Schmidt, Thomas L., Moors, Kristof
Format: Preprint
Published: 2025
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author Zsurka, Eduárd
Di Miceli, Daniele
Legendre, Julian
Serra, Llorenç
Grützmacher, Detlev
Schmidt, Thomas L.
Moors, Kristof
author_facet Zsurka, Eduárd
Di Miceli, Daniele
Legendre, Julian
Serra, Llorenç
Grützmacher, Detlev
Schmidt, Thomas L.
Moors, Kristof
contents Heterostructures comprised of a magnetic topological insulator (MTI) placed in the proximity of an $s$-wave superconductor have emerged as a platform for the practical realization of Majorana bound states (MBSs). More specifically, it has been theoretically predicted that MBS can appear in proximitized MTI nanoribbons (PNRs) in the quantum anomalous Hall regime. As with all MBS platforms, disorder and device imperfections can be detrimental to the formation of robust and well-separated MBSs that are suitable for fusion and braiding experiments. Here, we identify the optimal conditions for obtaining a topological superconducting gap that is robust against disorder, with spatially separated stable MBSs in PNRs, and introduce a figure of merit that encompasses these conditions. Particular attention is given to the thin-film limit of magnetic topological insulators (MTIs), where the hybridization of the surface states cannot be neglected, and to the role of electron-hole asymmetry in the low-energy physics of the system. Based on our numerical results, we find that (1) MTI thin films that are normal (rather than quantum spin Hall) insulators for zero magnetization are favorable, (2) strong electron-hole asymmetry causes the stability and robustness of MBS to be very different for chemical potentials above or below the Dirac point, and (3) the magnetization strength should preferably be comparable to the hybridization or confinement energy of the surface states, whichever is largest.
format Preprint
id arxiv_https___arxiv_org_abs_2505_02163
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Optimizing proximitized magnetic topological insulator nanoribbons for Majorana bound states
Zsurka, Eduárd
Di Miceli, Daniele
Legendre, Julian
Serra, Llorenç
Grützmacher, Detlev
Schmidt, Thomas L.
Moors, Kristof
Mesoscale and Nanoscale Physics
Heterostructures comprised of a magnetic topological insulator (MTI) placed in the proximity of an $s$-wave superconductor have emerged as a platform for the practical realization of Majorana bound states (MBSs). More specifically, it has been theoretically predicted that MBS can appear in proximitized MTI nanoribbons (PNRs) in the quantum anomalous Hall regime. As with all MBS platforms, disorder and device imperfections can be detrimental to the formation of robust and well-separated MBSs that are suitable for fusion and braiding experiments. Here, we identify the optimal conditions for obtaining a topological superconducting gap that is robust against disorder, with spatially separated stable MBSs in PNRs, and introduce a figure of merit that encompasses these conditions. Particular attention is given to the thin-film limit of magnetic topological insulators (MTIs), where the hybridization of the surface states cannot be neglected, and to the role of electron-hole asymmetry in the low-energy physics of the system. Based on our numerical results, we find that (1) MTI thin films that are normal (rather than quantum spin Hall) insulators for zero magnetization are favorable, (2) strong electron-hole asymmetry causes the stability and robustness of MBS to be very different for chemical potentials above or below the Dirac point, and (3) the magnetization strength should preferably be comparable to the hybridization or confinement energy of the surface states, whichever is largest.
title Optimizing proximitized magnetic topological insulator nanoribbons for Majorana bound states
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2505.02163