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Determination of the orbital symmetry of a state in spin triplet Sr$_2$RuO$_4$ superconductor is a challenge of considerable importance. Most of the experiments show that the chiral state of the $\hat{z} (k_x \pm ik_y)$ type is realized and…

Superconductivity · Physics 2013-05-29 James F. Annett , G. Litak , B. L. Gyorffy , K. I. Wysokinski

Strontium ruthenate Sr$_2$RuO$_4$ is an unconventional superconductor whose pairing symmetry has not been fully clarified, despite more than two decades of intensive research. Recent NMR Knight shift experiments have rekindled the…

The superconductor Sr2RuO4 has been the subject of enormous interest over more than two decades, but until now the form of its order parameter has not been determined. Since groundbreaking NMR experiments revealed that the pairs are of…

Superconductivity · Physics 2022-07-07 Astrid T. Rømer , T. A. Maier , Andreas Kreisel , P. J. Hirschfeld , Brian M. Andersen

We investigate the possible superconducting instabilities of strongly correlated electron materials using a generalization of linear response theory to external pairing fields depending on frequency. We compute a pairing susceptibility…

Superconductivity · Physics 2024-09-18 Olivier Gingras , Antoine Georges , Olivier Parcollet

We report a novel phenomenon intimately related to the spin-triplet superconductivity. It is well known that the spin susceptibility decreases below the superconducting transition temperature in almost all superconductors because of…

Superconductivity · Physics 2015-10-28 K. Ishida , M. Manago , T. Yamanaka , H. Fukazawa , Z. Q. Mao , Y. Maeno , K. Miyake

We compute and compare even- and odd-parity superconducting order parameters of strontium ruthenate ($\mathrm{Sr}_2\mathrm{RuO}_4$) in the limit of weak interactions, resulting from a fully microscopic three-dimensional model including…

Superconductivity · Physics 2019-11-19 Henrik S. Røising , Thomas Scaffidi , Felix Flicker , Gunnar F. Lange , Steven H. Simon

Unambiguous identification of the superconducting order parameter symmetry of Sr$_2$RuO$_4$ has remained elusive for more than a quarter century. While a chiral $p$-wave ground state analogue to superfluid $^3$He-$A$ was ruled out only very…

The symmetry of the superconducting phase of Sr2RuO4 is identified as the odd-parity pairing state d(k)=\hat{z}(k_x \pm i k_y) based on recent experiments. The experimental evidence for the so-called orbital dependent superconductivity…

Superconductivity · Physics 2009-10-31 M. Sigrist , D. Agterberg , A. Furusaki , C. Honerkamp , K. K. Ng , T. M. Rice , M. E. Zhitomirsky

The single-layered ruthenate Sr$_2$RuO$_4$ has attracted a great deal of interest as a spin-triplet superconductor with an order parameter that may potentially break time reversal invariance and host half-quantized vortices with Majorana…

Recent nuclear magnetic resonance studies [A. Pustogow {\it et al.}, arXiv:1904.00047] have challenged the prevalent chiral triplet pairing scenario proposed for Sr$_2$RuO$_4$. To provide guidance from microscopic theory as to which other…

Superconductivity · Physics 2019-12-16 A. T. Rømer , D. D. Scherer , I. M. Eremin , P. J. Hirschfeld , B. M. Andersen

Sr2RuO4 is at present the best candidate for being a superconducting analogue of the triplet superfluidity in ^3He. This material is a good (albeit correlated) Fermi liquid in the normal state and an exotic superconductor below Tc. The…

Superconductivity · Physics 2015-06-24 K. I. Wysokinski , G. Litak , J. F. Annett , B. L. Gyorffy

This review presents a summary and evaluations of the superconducting properties of the layered ruthenate Sr2RuO4 as they are known in the autumn of 2011. This paper appends the main progress that has been made since the preceding review by…

Superconductivity · Physics 2011-12-30 Yoshiteru Maeno , Shunichiro Kittaka , Takuji Nomura , Shingo Yonezawa , Kenji Ishida

The superconducting order parameter of strontium ruthenate is the center of a lasting puzzle calling for theoretical studies that include the seldom-considered effects of spin-orbit coupling and the frequency-dependence of the order…

Superconductivity · Physics 2022-09-01 Olivier Gingras , Nikita Allaglo , Reza Nourafkan , Michel Côté , André-Marie S. Tremblay

We study the spin susceptibility of the orbital-singlet pairings, including the spin-triplet/orbital-singlet/$s$-wave $E_g$ representation proposed by Suh \textit{et al}., [H.\ G.\ Suh \textit{et al}., Phys.\ Rev.\ Research \textbf{2},…

Superconductivity · Physics 2022-02-22 Yuri Fukaya , Tatsuki Hashimoto , Masatoshi Sato , Yukio Tanaka , Keiji Yada

We discuss a microscopic mechanism of the spin-tiplet superconductivity in the quasi-two-dimensional ruthenium oxide Sr2RuO4 on the basis of two-dimensional three-band Hubbard model. We solve the linearized Eliashberg equation by taking…

Superconductivity · Physics 2009-11-07 Takuji Nomura , Kosaku Yamada

We study the dynamical spin susceptibility, $\chi({\bf q}, \omega)$, in the normal and superconducting state of Sr$_2$RuO$_4$. In the normal state, we find a peak in the vicinity of ${\bf Q}_i\simeq (0.72\pi,0.72\pi)$ in agreement with…

Superconductivity · Physics 2011-04-08 Dirk K. Morr , Peter F. Trautman , Matthias J. Graf

Among unconventional superconductors, Sr$_2$RuO$_4$ has become a benchmark for experimentation and theoretical analysis because its normal-state electronic structure is known with exceptional precision, and because of experimental evidence…

The superconducting state of Sr$_2$RuO$_4$ was once thought to be a leading candidate for $p$-wave superconductivity. A constant Knight shift below the transition temperature provided evidence for spin-triplet pairing, and a $\pi$ phase…

Superconductivity · Physics 2023-01-12 Austin W. Lindquist , Hae-Young Kee

We study the (001) surface state of a recently proposed $E_g$ symmetry inter-orbital-odd spin-triplet s-wave superconducting (SC) state in Sr$_2$RuO$_4$ (SRO). We confirm that this pair potential is transformed into a chiral $d$-wave pair…

Strongly Correlated Electrons · Physics 2023-01-04 Satoshi Ando , Satoshi Ikegaya , Shun Tamura , Yukio Tanaka , Keiji Yada

Recent observations [A.~Pustogow et al. Nature 574, 72 (2019)] of a drop of the $^{17}$O nuclear magnetic resonance (NMR) Knight shift in the superconducting state of Sr$_2$RuO$_4$ challenged the popular picture of a chiral odd-parity…

Superconductivity · Physics 2020-11-19 A. N. Petsch , M. Zhu , Mechthild Enderle , Z. Q. Mao , Y. Maeno , I. I. Mazin , S. M. Hayden
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