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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

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

Pair density wave (PDW) is a distinct superconducting state characterized by a periodic modulation of its order parameter in real space. Its intricate interplay with the charge density wave (CDW) state is a continuing topic of interest in…

Superconductivity · Physics 2024-09-04 Lu Cao , Yucheng Xue , Yingbo Wang , Fu-Chun Zhang , Jian Kang , Hong-Jun Gao , Jinhai Mao , Yuhang Jiang

Recent experiments have shown that the nonzero center of mass momentum pair density wave (PDW) is a widespread phenomenon observed over different superconducting materials. However, concrete theoretical model realizations of the PDW order…

Superconductivity · Physics 2025-08-19 Yi Zhang , Ziqiang Wang

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

In several members of the pnictide materials, spin density wave order coexists with superconductivity over a range of dopings and temperature. In this paper we show that odd-frequency superconductivity emerges on the edges of pnictides in…

Superconductivity · Physics 2018-11-12 Cody Youmans , Areg Ghazaryan , Mehdi Kargarian , Pouyan Ghaemi

Odd-parity spin-splitting plays a central role in spintronics and unconventional superconductivity, yet its microscopic realization in collinear magnetic systems remains elusive. We propose a general symmetry-based strategy for realizing…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Zheng-Yang Zhuang , Di Zhu , Dongling Liu , Zhigang Wu , Zhongbo Yan

The unconventional superconductivity in Sr$_2$RuO$_4$ continues to attract considerable interest. While many measurements can be interpreted on the basis of chiral $p$-wave pairing with intriguing topological character, a number of…

Superconductivity · Physics 2018-03-07 Li-Da Zhang , Wen Huang , Fan Yang , Hong Yao

Topological superconductors have been theoretically predicted as a new class of time-reversal-invariant superconductors which are fully gapped in the bulk but have protected gapless surface Andreev bound states. In this work, we provide a…

Superconductivity · Physics 2013-05-29 Liang Fu , Erez Berg

Group theory arguments have been invoked to argue that odd parity order parameters cannot have line nodes in the presence of spin-orbit coupling. In this paper we show that these arguments do not hold for certain non-symmorphic…

Superconductivity · Physics 2015-05-13 T. Micklitz , M. R. Norman

The existence of topological superconductors preserving time-reversal symmetry was recently predicted, and they are expected to provide a solid-state realization of itinerant massless Majorana fermions and a route to topological quantum…

Superconductivity · Physics 2013-03-04 Satoshi Sasaki , Zhi Ren , A. A. Taskin , Kouji Segawa , Liang Fu , Yoichi Ando

Searching for unconventional Cooper pairing states has been at the heart of superconductivity research since the discovery of BCS superconductors. In particular, spin-triplet odd-parity pairing states were recently revisited due to the…

Superconductivity · Physics 2015-05-14 Zi Yang Meng , Fan Yang , Kuang-Shing Chen , Hong Yao , Hae-Young Kee

The odd-parity spin-triplet Cooper pairing states show a six-fold degeneracy for a quasi-two-dimensional electron system. In this article we show how spin-orbit coupling can lift this degeneracy for Sr_2RuO_4 taking the band structure based…

Superconductivity · Physics 2009-10-31 Kwai-Kong Ng , Manfred Sigrist

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

Pair-density-wave (PDW) is a long-sought exotic state with oscillating superconducting order without external magnetic field. So far it has been rare in establishing a 2D microscopic model with PDW long-range order in its ground state. Here…

Superconductivity · Physics 2024-10-29 Yi-Fan Jiang , Hong Yao

In superconductors, electrons with spin ${s=1/2}$ form Cooper pairs whose spin structure is usually singlet (${S=0}$) or triplet (${S=1}$). When the electronic structure near the Fermi level is characterized by fermions with angular…

We present a theoretical model to show that the transition from an antiferromagnetic (AFM) phase to the $d_{x^2-y^2}$-wave superconductivity occurs through a robust companion of a finite momentum pairing between $({\bf k},\uparrow)$ and…

Superconductivity · Physics 2020-07-21 Tanmoy Das

It is shown that unconventional nature of superconducting state of PrOs_4Sb_12, a Pr-based heavy electron compound with the filled-Skutterudite structure, can be explained in a unified way by taking into account the structure of the…

Superconductivity · Physics 2009-11-10 K. Miyake , H. Kohno , H. Harima

Pair spin-orbit interaction can emerge in strongly-interacting systems characterized by a large spin-orbit coupling. Here we study the role of this interaction in stabilizing ordered and unconventional superconducting phases. We find that,…

Superconductivity · Physics 2025-07-30 Feng Liu , Alessandro Principi

The superconducting pairing in Sr$_2$RuO$_4$ is widely considered to be chiral $p$-wave with $\vec{d}_{\boldsymbol k} \sim (k_x + ik_y)\hat{z}$, which belongs to the $E_u$ representation of the crystalline $D_{4h}$ group. However, this…

Superconductivity · Physics 2018-10-16 Wen Huang , Hong Yao