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dc.contributor.authorVirtanen, Pauli
dc.contributor.authorVargunin, Artjom
dc.contributor.authorSilaev, Mikhail
dc.date.accessioned2020-03-30T11:46:25Z
dc.date.available2020-03-30T11:46:25Z
dc.date.issued2020
dc.identifier.citationVirtanen, P., Vargunin, A., & Silaev, M. (2020). Quasiclassical free energy of superconductors : Disorder-driven first-order phase transition in superconductor/ferromagnetic-insulator bilayers. <i>Physical Review B</i>, <i>101</i>(9), Article 094507. <a href="https://doi.org/10.1103/PhysRevB.101.094507" target="_blank">https://doi.org/10.1103/PhysRevB.101.094507</a>
dc.identifier.otherCONVID_35124134
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/68375
dc.description.abstractn the seminal work by G. Eilenberger, Z. Phys. 214, 195 (1968), a closed-form expression for the free energy of inhomogeneous spin-singlet superconductor in terms of quasiclassical propagators has been suggested. However, deriving this expression and generalizing it for superconductors or superfluids with general matrix structure, e.g., spin-triplet correlations, has remained problematic. Starting from the Luttinger-Ward formulation, we discuss here the general solution. Besides ordinary superconductors with various scattering mechanisms, the obtained free-energy functional can be used for systems, such as superfluid He-3 and superconducting systems with spatially inhomogeneous exchange field or spin-orbit coupling. Using this result, we derive the simplified expression for the free energy in the diffusive and hydrodynamic limits. As an example of using this formalism, we show that impurity scattering restores the first-order phase transition in superconductor-ferromagnetic insulator bilayers making this system similar to the bulk superconductor with the homogeneous built-in exchange field.en
dc.format.mimetypeapplication/pdf
dc.languageeng
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.relation.ispartofseriesPhysical Review B
dc.rightsIn Copyright
dc.subject.otherPauli paramagneism
dc.subject.othermagnetic-field
dc.subject.othervortices
dc.subject.otherequation
dc.subject.othervortex
dc.subject.otherstate
dc.titleQuasiclassical free energy of superconductors : Disorder-driven first-order phase transition in superconductor/ferromagnetic-insulator bilayers
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202003302588
dc.contributor.laitosFysiikan laitosfi
dc.contributor.laitosDepartment of Physicsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.description.reviewstatuspeerReviewed
dc.relation.issn2469-9950
dc.relation.numberinseries9
dc.relation.volume101
dc.type.versionpublishedVersion
dc.rights.copyright© 2020 American Physical Society
dc.rights.accesslevelopenAccessfi
dc.relation.grantnumber297439
dc.relation.grantnumber800923
dc.relation.grantnumber800923
dc.relation.projectidinfo:eu-repo/grantAgreement/EC/H2020/800923/EU//SUPERTED
dc.subject.ysomagneettikentät
dc.subject.ysosuprajohteet
dc.subject.ysomagneetit
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p19032
jyx.subject.urihttp://www.yso.fi/onto/yso/p9946
jyx.subject.urihttp://www.yso.fi/onto/yso/p2774
dc.rights.urlhttp://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi10.1103/PhysRevB.101.094507
dc.relation.funderSuomen Akatemiafi
dc.relation.funderEuroopan komissiofi
dc.relation.funderAcademy of Finlanden
dc.relation.funderEuropean Commissionen
jyx.fundingprogramAkatemiatutkijan tehtävä, SAfi
jyx.fundingprogramFET Future and Emerging Technologies, H2020fi
jyx.fundingprogramResearch post as Academy Research Fellow, AoFen
jyx.fundingprogramFET Future and Emerging Technologies, H2020en
jyx.fundinginformationhe work of M.S. and A.V. was supported by the Academyof Finland (Project No. 297439), and P.V. was supportedby the European Union Horizon 2020 Research and Inno-vation Programme under Grant Agreement No. 800923 (SU-PERTED)


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