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Main Authors: Lobo, Francisco, Prada, Elsa, San-Jose, Pablo
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2412.15174
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author Lobo, Francisco
Prada, Elsa
San-Jose, Pablo
author_facet Lobo, Francisco
Prada, Elsa
San-Jose, Pablo
contents Predictions of topological p-wave superconductivity and Majorana zero modes (MZMs) in hybrid superconductor-semiconductor nanowires have been difficult to realize experimentally. Consequently, researchers are actively exploring alternative platforms for MZMs. In this work, we theoretically study depleted nanowires with intrinsic superconductivity (as opposed to proximity-induced). Using a self-consistent Hartree-Fock-Bogoliubov mean field theory, we compute the topological phase diagram versus Zeeman field and filling for intrinsic wires with attractive interactions. We find that, although intrinsic wires could be less vulnerable than hybrids to topology-adverse effects, such as disorder and metallization, they are hindered by a fundamental limitation of their own. Although a topological p-wave gap is indeed possible, it is far less robust than in hybrid Majorana nanowires. Instead of remaining stable beyond the topological transition, it is found to decay exponentially with Zeema field, greatly reducing the parameter region with an appreciable topological gap.
format Preprint
id arxiv_https___arxiv_org_abs_2412_15174
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Exponential suppression of the topological gap in self-consistent intrinsic Majorana nanowires
Lobo, Francisco
Prada, Elsa
San-Jose, Pablo
Mesoscale and Nanoscale Physics
Predictions of topological p-wave superconductivity and Majorana zero modes (MZMs) in hybrid superconductor-semiconductor nanowires have been difficult to realize experimentally. Consequently, researchers are actively exploring alternative platforms for MZMs. In this work, we theoretically study depleted nanowires with intrinsic superconductivity (as opposed to proximity-induced). Using a self-consistent Hartree-Fock-Bogoliubov mean field theory, we compute the topological phase diagram versus Zeeman field and filling for intrinsic wires with attractive interactions. We find that, although intrinsic wires could be less vulnerable than hybrids to topology-adverse effects, such as disorder and metallization, they are hindered by a fundamental limitation of their own. Although a topological p-wave gap is indeed possible, it is far less robust than in hybrid Majorana nanowires. Instead of remaining stable beyond the topological transition, it is found to decay exponentially with Zeema field, greatly reducing the parameter region with an appreciable topological gap.
title Exponential suppression of the topological gap in self-consistent intrinsic Majorana nanowires
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2412.15174