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Condensed Matter > Superconductivity
Title: A microscopic Ginzburg--Landau theory and singlet ordering in Sr$_2$RuO$_4$
(Submitted on 17 Dec 2020 (v1), last revised 18 Aug 2021 (this version, v2))
Abstract: The long-standing quest to determine the superconducting order of Sr$_2$RuO$_4$ (SRO) has received renewed attention after recent nuclear magnetic resonance (NMR) Knight shift experiments have cast doubt on the possibility of spin-triplet pairing in the superconducting state. As a putative solution, encompassing a body of experiments conducted over the years, a $d+ig$-wave order parameter caused by an accidental near-degeneracy has been suggested [S. A. Kivelson et al., npj Quantum Materials $\bf{5}$, 43 (2020)]. Here we develop a general Ginzburg--Landau theory for multiband superconductors. We apply the theory to SRO and predict the relative size of the order parameter components. The heat capacity jump expected at the onset of the second order parameter component is found to be above the current threshold deduced by the experimental absence of a second jump. Our results tightly restrict theories of $d+ig$ order, and other candidates caused by a near-degeneracy, in SRO. We discuss possible solutions to the problem.
Submission history
From: Glenn Wagner [view email][v1] Thu, 17 Dec 2020 19:00:01 GMT (2394kb,D)
[v2] Wed, 18 Aug 2021 10:09:40 GMT (2097kb,D)
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