Effects of orbital selective dynamical correlation on the spin susceptibility and superconducting symmetries in Sr_{2}RuO_{4}

We investigate the connection between the local electron correlation and the momentum dependence of the spin susceptibility and the superconducting gap functions in Sr_{2}RuO_{4} using density-functional theory combined with dynamical mean-field theory. Adopting a frequency-dependent two-particle ve...

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Main Author: Chang-Youn Moon
Format: Article
Language:English
Published: American Physical Society 2023-06-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.5.L022058
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author Chang-Youn Moon
author_facet Chang-Youn Moon
author_sort Chang-Youn Moon
collection DOAJ
description We investigate the connection between the local electron correlation and the momentum dependence of the spin susceptibility and the superconducting gap functions in Sr_{2}RuO_{4} using density-functional theory combined with dynamical mean-field theory. Adopting a frequency-dependent two-particle vertex moves the zero-energy spin susceptibility peaks towards the Brillouin zone center, compared with the random-phase approximation, which basically retains the peak positions closer to the Brillouin zone boundary as determined by the Fermi-surface nesting. We find that the d_{xy} orbital plays a central role here via its enhanced correlation strength. Solving the linearized Eliashberg equation from this spin susceptibility, the prime candidates for the superconducting gap are an s-wave and a nearly degenerate d-wave solutions, all in the spin singlet. Furthermore, another set of degenerate spin-singlet gap functions emerges, odd with respect to the k point as well as orbital exchanges. We show that the stability of these gap functions is strongly dependent on the peak position of the spin susceptibility in the Brillouin zone.
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spelling doaj.art-871f8e5079974f5c815c36e4a45a9cad2024-04-12T17:31:55ZengAmerican Physical SocietyPhysical Review Research2643-15642023-06-0152L02205810.1103/PhysRevResearch.5.L022058Effects of orbital selective dynamical correlation on the spin susceptibility and superconducting symmetries in Sr_{2}RuO_{4}Chang-Youn MoonWe investigate the connection between the local electron correlation and the momentum dependence of the spin susceptibility and the superconducting gap functions in Sr_{2}RuO_{4} using density-functional theory combined with dynamical mean-field theory. Adopting a frequency-dependent two-particle vertex moves the zero-energy spin susceptibility peaks towards the Brillouin zone center, compared with the random-phase approximation, which basically retains the peak positions closer to the Brillouin zone boundary as determined by the Fermi-surface nesting. We find that the d_{xy} orbital plays a central role here via its enhanced correlation strength. Solving the linearized Eliashberg equation from this spin susceptibility, the prime candidates for the superconducting gap are an s-wave and a nearly degenerate d-wave solutions, all in the spin singlet. Furthermore, another set of degenerate spin-singlet gap functions emerges, odd with respect to the k point as well as orbital exchanges. We show that the stability of these gap functions is strongly dependent on the peak position of the spin susceptibility in the Brillouin zone.http://doi.org/10.1103/PhysRevResearch.5.L022058
spellingShingle Chang-Youn Moon
Effects of orbital selective dynamical correlation on the spin susceptibility and superconducting symmetries in Sr_{2}RuO_{4}
Physical Review Research
title Effects of orbital selective dynamical correlation on the spin susceptibility and superconducting symmetries in Sr_{2}RuO_{4}
title_full Effects of orbital selective dynamical correlation on the spin susceptibility and superconducting symmetries in Sr_{2}RuO_{4}
title_fullStr Effects of orbital selective dynamical correlation on the spin susceptibility and superconducting symmetries in Sr_{2}RuO_{4}
title_full_unstemmed Effects of orbital selective dynamical correlation on the spin susceptibility and superconducting symmetries in Sr_{2}RuO_{4}
title_short Effects of orbital selective dynamical correlation on the spin susceptibility and superconducting symmetries in Sr_{2}RuO_{4}
title_sort effects of orbital selective dynamical correlation on the spin susceptibility and superconducting symmetries in sr 2 ruo 4
url http://doi.org/10.1103/PhysRevResearch.5.L022058
work_keys_str_mv AT changyounmoon effectsoforbitalselectivedynamicalcorrelationonthespinsusceptibilityandsuperconductingsymmetriesinsr2ruo4