Many-body effects on superconductivity mediated by double-magnon processes in altermagnets

Fuente: arXiv
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Auteurs principaux: Mæland, Kristian, Brekke, Bjørnulf, Sudbø, Asle
Format: Preprint
Publié: 2024
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author Mæland, Kristian
Brekke, Bjørnulf
Sudbø, Asle
author_facet Mæland, Kristian
Brekke, Bjørnulf
Sudbø, Asle
contents Altermagnets exhibit a large electron spin splitting which can be understood as a result of strong coupling between itinerant electrons and localized spins. We consider superconductivity due to electron-magnon scattering, using strong-coupling Eliashberg theory to capture many-body effects that are not covered by a weak-coupling approach. The characteristic band structure of altermagnets puts significant constraints on the spin structure of electron scattering on the Fermi surface. We emphasize the role of spin-preserving, double-magnon scattering processes compared to conventional spin-flip processes involving a single magnon. Then, we derive the Eliashberg equations for a situation where double-magnon scattering mediates spin-polarized Cooper pairs, while both double-magnon and single-magnon scatterings contribute to many-body effects. These many-body effects impact superconducting properties in a way that differs significantly from systems where conventional spin-flip processes mediate superconductivity. To highlight the role of $d$-wave magnetism on superconductivity in altermagnets, we compare our results to those found in ferromagnetic half-metals and conventional antiferromagnetic metals.
format Preprint
id arxiv_https___arxiv_org_abs_2402_14061
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Many-body effects on superconductivity mediated by double-magnon processes in altermagnets
Mæland, Kristian
Brekke, Bjørnulf
Sudbø, Asle
Superconductivity
Strongly Correlated Electrons
Altermagnets exhibit a large electron spin splitting which can be understood as a result of strong coupling between itinerant electrons and localized spins. We consider superconductivity due to electron-magnon scattering, using strong-coupling Eliashberg theory to capture many-body effects that are not covered by a weak-coupling approach. The characteristic band structure of altermagnets puts significant constraints on the spin structure of electron scattering on the Fermi surface. We emphasize the role of spin-preserving, double-magnon scattering processes compared to conventional spin-flip processes involving a single magnon. Then, we derive the Eliashberg equations for a situation where double-magnon scattering mediates spin-polarized Cooper pairs, while both double-magnon and single-magnon scatterings contribute to many-body effects. These many-body effects impact superconducting properties in a way that differs significantly from systems where conventional spin-flip processes mediate superconductivity. To highlight the role of $d$-wave magnetism on superconductivity in altermagnets, we compare our results to those found in ferromagnetic half-metals and conventional antiferromagnetic metals.
title Many-body effects on superconductivity mediated by double-magnon processes in altermagnets
topic Superconductivity
Strongly Correlated Electrons
url https://arxiv.org/abs/2402.14061