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The CuIr$_{2-x}$Ru$_x$Te$_4$ superconductors (with a $T_c$ around 2.8 K) can host charge-density waves, whose onset and interplay with superconductivity are not well known at a microscopic level. Here, we report a comprehensive study of the…

We study the spin-orbit coupling in spin-triplet Cooper pairs and clarify multiple superconducting (SC) phases in Sr$_2$RuO$_4$. Based on the analysis of the three-orbital Hubbard model with atomic LS coupling, we show some selection rules…

Superconductivity · Physics 2015-06-22 Youichi Yanase , Shuhei Takamatsu , Masafumi Udagawa

We review the normal and superconducting state properties of the unconventional triplet superconductor Sr$_2$RuO$_4$ with an emphasis on the analysis of the magnetic susceptibility and the role played by strong electronic correlations. In…

Superconductivity · Physics 2009-11-10 I. Eremin , D. Manske , S. G. Ovchinnikov , J. F. Annett

Ferromagnetism and superconductivity are generally considered to be antagonistic phenomena in condensed matter physics. Here, we theoretically study the interplay between the ferromagnetic and superconducting orders in a recent discovered…

Strongly Correlated Electrons · Physics 2021-02-09 Tian-Zhong Yuan , Mu-Yuan Zou , Wen-Tao Jin , Xin-Yuan Wei , Xu-Guang Xu , Wei Li

Supposing the spin-triplet superconducting state of Sr$_2$RuO$_4$, the spin-orbit (SO) coupling associated with relative motion in Cooper pairs is calculated by extending the method for the dipole-dipole coupling given by Leggett in the…

Superconductivity · Physics 2015-05-18 K. Miyake

We consider a system with electron-phonon interaction, antiferromagnetic fluctuations and disconnected open Fermi surfaces. The existence of odd-parity superconductivity in this circumstance is shown for the first time. If it is applied to…

Superconductivity · Physics 2009-10-31 Mahito Kohmoto , Masatoshi Sato

We show that mixed-parity superconductors may exhibit equal-spin pair correlations that are odd-in-time and can be tuned by means of an applied field. The direction and the amplitude of the pair correlator in the spin space turn out to be…

Superconductivity · Physics 2011-09-23 Paola Gentile , Canio Noce , Alfonso Romano , Gaetano Annunziata , Jacob Linder , Mario Cuoco

Since the discovery of cuprate high-Tc superconductivity, numerous theoretical frameworks have been proposed to explain its mechanism; Anderson's RVB picture [Science 235, 1196-1198, 1987] and U(1) gauge theory [Phys. Rev. Lett. 76,…

Superconductivity · Physics 2025-09-19 Tom G. Saunderson , James F. Annett , Samir Lounis

We discuss the class of superconductors which have pairing correlations which are odd in frequency, as introduced originally by Berezinskii and more recently by Balatsky and Abrahams. As follows from the equations of motion, a natural…

Condensed Matter · Physics 2016-08-31 Elihu Abrahams , A. V. Balatsky , D. J. Scalapino , J. R. Schrieffer

Parity is a fundamental quantum number to classify a state of matter. Materials rarely possess ground states with odd parity. We show that the superconducting state in iron-based superconductors is classified as an odd parity s-wave…

Superconductivity · Physics 2013-07-18 Jiangping Hu

The heavy fermion superconductor URu$_2$Si$_2$ is a candidate for chiral, time-reversal symmetry-breaking superconductivity with a nodal gap structure. Here, we microscopically visualized superconductivity and spatially inhomogeneous…

Superconductivity · Physics 2021-06-16 Yusuke Iguchi , Irene P. Zhang , Eric D. Bauer , Filip Ronning , John R. Kirtley , Kathryn A. Moler

The recent discovery of superconductivity in the quasi-one-dimensional compound K$_2$Cr$_3$As$_3$, which consists of double-walled tubes of [(Cr$_3$As$_3$)$^{2-}]^\infty$ that run along the c axis, has attracted immediate attention as a…

Strongly Correlated Electrons · Physics 2015-06-16 G. M. Pang , M. Smidman , W. B. Jiang , J. K. Bao , Z. F. Weng , Y. F. Wang , L. Jiao , J. L. Zhang , G. H. Cao , H. Q. Yuan

Signatures of unconventional superconductivity have been recently observed in certain transition metal dichalcogenides (TMDs), including 4H$_b$-TaS$_2$ and monolayer 2H-NbSe$_2$. While the pairing channel remains unknown, it has been argued…

Superconductivity · Physics 2026-02-03 Miguel-Ángel Sánchez-Martínez , Daniel Muñoz-Segovia , Fernando de Juan

The discovery of high-T$_c$ superconductor in Ruddlesden-Popper nickelate materials represented by La$_3$Ni$_2$O$_7$ has opened new directions in the quest for unconventional superconductivity. A central unresolved issue concerns the…

Superconductivity · Physics 2025-12-16 Zhan Wang , Yuxin Wang , Kun Jiang , Jiangping Hu , Fu-Chun Zhang

Motivated by the proposed topological state in Cu$_x$Bi$_2$Se$_3$, we study the possibility of phonon-mediated odd-parity superconductivity in spin-orbit coupled systems with time-reversal and inversion symmetry. For such systems, we show…

Superconductivity · Physics 2014-11-18 P. M. R. Brydon , S. Das Sarma , Hoi-Yin Hui , Jay D. Sau

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…

The superconducting symmetry of Sr2RuO4 has been intensely debated for many years. A crucial controversy recently emerged between shear-mode ultrasound experiments, which suggest a two-component order parameter, and some uniaxial pressure…

In two-dimensional system with Rashba spin-orbit coupling, it is well-known that superconductivity can have mixed spin-singlet and -triplet parity, and the $\boldsymbol{d}$-vector of spin-triplet pairing is parallel to…

Superconductivity · Physics 2024-10-21 Ran Wang , Jiayang Li , Xinliang Huang , Lichuan Wang , Rui Song , Ning Hao

The effect of the Doppler shift is studied in a model for the $\alpha$-$\beta$ bands of Sr$_2$RuO$_4$ consisting of two hybridized 1D bands. Assuming a superconducting gap with nodes in the diagonal directions, we examine the oscillation of…

Superconductivity · Physics 2009-11-10 Y. Tanaka , K. Kuroki , Y. Tanuma , S. Kashiwaya

Nonmagnetic kagome metals and superconductors AV3Sb5 (A = K, Rb, Cs) host unconventional charge density wave (CDW) and superconducting (SC) phases accompanied by multiple electronic symmetry breaking. Due to the centrosymmetric crystal…

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