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This article reviews odd-frequency (odd-w) pairing with focus on superconducting systems. Since Berezinskii introduced the concept of odd frequency order in 1974 it has been viewed as an exotic and rarely occurring in nature. Here, we…

Superconductivity · Physics 2020-01-01 Jacob Linder , Alexander V. Balatsky

Unconventional superconductivity (SC) is said to occur when Cooper pair formation is dominated by repulsive electron-electron interactions, so that the symmetry of the pair wavefunction is other than isotropic s-wave. The strong, on-site,…

Superconductivity · Physics 2016-06-22 J. C. Séamus Davis , Dung-Hai Lee

Since the first theoretical proposal by Berezinskii, an odd-frequency superconductivity has encountered the fundamental problems on its thermodynamic stability and rigidity of a homogenous state accompanied by unphysical Meissner effect.…

Superconductivity · Physics 2015-05-20 Hiroaki Kusunose , Yuki Fuseya , Kazumasa Miyake

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-frequency pairing mechanism of superconductivity has been investigated for several decades. Nevertheless, its properties, including the thermodynamic stability, have remained unclear. In particular, it has been argued that the…

Superconductivity · Physics 2009-09-18 Dmitry Solenov , Ivar Martin , Dmitry Mozyrsky

We study the unconventional superconducting correlations caused by a single isolated magnetic impurity in a conventional s-wave superconductor. Due to the local breaking of time-reversal symmetry, the impurity induces unconventional…

Attempts to explain correlated-electron superconductivity have largely focused on the proximity of the superconducting state to antiferromagnetism. Yet, there exist many correlated-electron systems that exhibit insulator-superconducting…

Superconductivity · Physics 2014-07-28 S. Mazumdar , R. T. Clay

We formulate a general framework for addressing both odd- and even-frequency superconductivity in Dirac semimetals and demonstrate that the odd-frequency or the Berezinskii pairing can naturally appear in these materials because of the…

Superconductivity · Physics 2019-11-20 P. O. Sukhachov , Vladimir Juricic , A. V. Balatsky

A growing body of literature suggests that odd-frequency superconducting pair amplitudes can be generated in normal metal-superconductor junctions. The emergence of odd-frequency pairing in these systems is often attributed to the breaking…

Superconductivity · Physics 2019-10-22 Christopher Triola , Annica M. Black-Schaffer

`Strange' metals that do not follow the predictions of Fermi liquid theory are prevalent in materials that feature superconductivity arising from electron interactions. In recent years, it has been hypothesized that spatial randomness in…

Strongly Correlated Electrons · Physics 2025-09-15 Aavishkar A. Patel , Peter Lunts , Michael S. Albergo

We discuss dynamical response of odd-frequency Cooper pairs to electromagnetic field. By using the quasiclassical Green function method, we calculate the surface impedance (Z=R-iX) of a normal metal thin film which covers a superconductor.…

Superconductivity · Physics 2011-08-25 Yasuhiro Asano , Alexander A. Golubov , Yakov V. Fominov , Yukio Tanaka

Due to the spin-orbit coupling (SOC) an electric current flowing in a normal metal or semiconductor can induce a bulk magnetic moment. This effect is known as the Edelstein (EE) or magneto-electric effect. Similarly, in a bulk…

Mesoscale and Nanoscale Physics · Physics 2016-08-08 François Konschelle , Ilya V. Tokatly , F. Sebastián Bergeret

Unconventional superconductivity is a desirable state of matter due to its potential for high transition temperatures $T_{\mathrm{c}}$ and associated favorable superconducting properties. However, the sign-changing nature of the order…

Superconductivity · Physics 2026-01-30 Sofie Castro Holbæk , Morten H. Christensen , Andreas Kreisel , Brian M. Andersen

For the iron-based high $T_c$ superconductor LaFeAsO$_{1-x}$F$_x$, we construct a minimal model, where all of the five Fe $d$ bands turn out to be involved. We then investigate the origin of superconductivity with a five-band random-phase…

Superconductivity · Physics 2009-11-13 Kazuhiko Kuroki , Hideo Aoki

Although the pairing mechanism of the Fe-based superconductors (FeSCs) has not yet been settled with a consensus, as to the pairing symmetry and the superconducting (SC) gap function, the abundant majority of experiments are supporting for…

Superconductivity · Physics 2017-03-08 Yunkyu Bang , G. R. Stewart

The recently discovered APt$_3$P (A=Sr,Ca,La) family of superconductors offers a platform to study frequency dependent superconducting phenomena as the electron-phonon coupling varies from weak to strong. Here we perform ab initio…

Superconductivity · Physics 2020-06-24 Alex Aperis , Eiaki Morooka , Peter M. Oppeneer

Odd-frequency superconductivity, originally proposed by Berezinskii in 1974, is an exotic phase of matter in which Cooper pairing between electrons is entirely dynamical in nature. The pair potential is an odd function of frequency, leading…

Superconductivity · Physics 2017-05-09 Shu-Ping Lee , Roman M. Lutchyn , Joseph Maciejko

We theoretically investigate strong-coupling properties of an odd-frequency Fermi superfluid. This pairing state has the unique property that Cooper pairs are formed between fermions, not at the same time, but at different times. To see…

Quantum Gases · Physics 2024-06-18 Shumpei Iwasaki , Taira Kawamura , Koki Manabe , Yoji Ohashi

We study the induced odd-frequency pairing states in ballistic normal metal/superconductor (N/S) junctions where a superconductor has even-frequency symmetry in the bulk and a normal metal layer has an arbitrary length. Using the…

Superconductivity · Physics 2009-11-13 Y. Tanaka , Y. Tanuma , A. A. Golubov

The paradigmatic Migdal-Eliashberg theory of the electron-phonon problem is central to the understanding of superconductivity in conventional metals. This powerful framework is justified by the smallness of the Debye frequency relative to…

Superconductivity · Physics 2020-06-19 Debanjan Chowdhury , Erez Berg