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Odd-frequency superconductivity represents a truly unconventional ordered state which, in contrast to conventional superconductivity, exhibits pair correlations which are odd in relative time and, hence, inherently dynamical. In this review…

Mesoscale and Nanoscale Physics · Physics 2020-02-14 Jorge Cayao , Christopher Triola , Annica M. Black-Schaffer

Odd-frequency superconductivity is an exotic phase of matter in which Cooper pairing between electrons is entirely dynamical in nature. Majorana zero modes exhibit pure odd-frequency superconducting correlations due to their specific…

Superconductivity · Physics 2020-03-11 Dushko Kuzmanovski , Annica M. Black-Schaffer , Jorge Cayao

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

We investigate the influence of critical spin fluctuations on electromagnetic responses in the odd-frequency superconductivity. It is shown that the Meissner kernel of the odd-frequency superconductivity is strongly reduced by the critical…

Superconductivity · Physics 2015-05-19 Yuki Fuseya , Kazumasa Miyake

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

We revisit the question of nature of odd-frequency superconductors, first proposed by Berezinskii in 1974. \cite{berezinskii1974} We start with the notion that order parameter of odd-frequency superconductors can be thought of as a time…

Superconductivity · Physics 2015-05-13 Hari P. Dahal , E. Abrahams , D. Mozyrsky , Y. Tanaka , A. V. Balatsky

A chain of magnetic atoms with non-collinear spin configuration on a superconductor is a promising new system that can host Majorana Fermions (MFs). In this study, we clarify that in the presence of MFs, an odd-frequency Cooper pair is…

Superconductivity · Physics 2015-03-04 Hiromi Ebisu , Keiji Yada , Hideaki Kasai , Yukio Tanaka

We discuss a strong relationship between Majorana fermions and odd-frequency Cooper pairs which appear at a disordered normal (N) nano wire attached to a topologically nontrivial superconducting (S) one. The transport properties in…

Superconductivity · Physics 2013-04-22 Yasuhiro Asano , Yukio Tanaka

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 all known superconductors the pairing of fermions is not sensitive to the sign of their time-argument difference, leading to a Cooper pair wavefunction that is even in time/frequency. Four decades ago it was suggested that odd-frequency…

Superconductivity · Physics 2015-03-18 Alex Aperis , Pablo Maldonado , Peter M. Oppeneer

Majorana zero modes have been shown to be the simplest quasiparticles exhibiting pure odd-frequency pairing, an effect that has so far been theoretically established in the static regime. In this work, we investigate the formation of…

Superconductivity · Physics 2025-01-23 Eslam Ahmed , Shun Tamura , Yukio Tanaka , Jorge Cayao

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 behavior of Cooper pair amplitudes that emerge when a two-dimensional superconductor is coupled to two parallel nanowires, focusing on the conditions for realizing odd-frequency pair amplitudes in the absence of spin-orbit…

Superconductivity · Physics 2019-07-24 Christopher Triola , Annica M. Black-Schaffer

We discuss the appearance of odd-frequency spin-triplet s-wave superconductivity, first proposed by Berezinskii [{\it JETP} {\bf 20}, 287 (1974)], on the surface of a topological insulator proximity coupled to a conventional spin-singlet…

Superconductivity · Physics 2015-03-20 Annica M. Black-Schaffer , Alexander V. Balatsky

Superconducting order parameters that are odd under exchange of time-coordinates of the electrons constituting a Cooper-pair, are potentially of great importance both conceptually and technologically. Recent experiments report that such an…

Superconductivity · Physics 2009-11-13 Jacob Linder , Takehito Yokoyama , Asle Sudbø

We show that Berezinskii's classification of the symmetries of Cooper pair amplitudes holds for driven systems even in the absence of translation invariance. We then consider a model Hamiltonian for a superconductor coupled to an external…

Superconductivity · Physics 2016-09-28 Christopher Triola , Alexander V. Balatsky

Odd-frequency superconductivity is an exotic superconducting state in which the symmetry of the gap function is odd in frequency. Here we show that an inherent odd-frequency mode emerges dynamically under application of a Lorentz…

Superconductivity · Physics 2023-08-09 Patrick J. Wong , Alexander V. Balatsky

We discuss the possibility that heavy fermion superconductors involve odd-frequency pairing of the kind first considered by Berezinskii. Using a toy model for odd frequency triplet pairing in the Kondo lattice we are able to examine key…

Condensed Matter · Physics 2009-10-22 P. Coleman , E. Miranda , A. Tsvelik

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

Superconductivity is characterized by a nonvanishing superconducting pair amplitude. It has a definite symmetry in spin, momentum and frequency (time). While the spin and momentum symmetry have been probed experimentally for different…

Mesoscale and Nanoscale Physics · Physics 2018-10-31 Sun-Yong Hwang , Pablo Burset , Björn Sothmann
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