Quasiclassical free energy of superconductors : Disorder-driven first-order phase transition in superconductor/ferromagnetic-insulator bilayers
Virtanen, P., Vargunin, A., & Silaev, M. (2020). Quasiclassical free energy of superconductors : Disorder-driven first-order phase transition in superconductor/ferromagnetic-insulator bilayers. Physical Review B, 101(9), Article 094507. https://doi.org/10.1103/PhysRevB.101.094507
Published inPhysical Review B
© 2020 American Physical Society
n 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. ...
PublisherAmerican Physical Society
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Related funder(s)Academy of Finland; European Commission
Funding program(s)Academy Research Fellow, AoF
The content of the publication reflects only the author’s view. The funder is not responsible for any use that may be made of the information it contains.
Additional information about fundinghe 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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