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The optical response of superconductors with odd-frequency Berezinskii pairing is studied. By using a simple model with a parabolic dispersion law and a non-magnetic disorder, the spectral function, the electron density of states, and the…

Superconductivity · Physics 2019-11-06 P. O. Sukhachov , A. V. Balatsky

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 superconducting states of matter are realized in the presence of strong spin orbit coupling. In particular, non degenerate bands can support odd parity superconductivity with rich topological content. Here we study whether…

Superconductivity · Physics 2015-06-16 Huazhou Wei , Sung-Po Chao , Vivek Aji

Superconductor-ferromagnetic heterostructures have been suggested as one of the most promising alternatives of realizing odd-frequency superconductivity. In this work we consider the limit of shrinking the ferromagnetic region to the limit…

Superconductivity · Physics 2020-03-11 Dushko Kuzmanovski , Rubén Seoane Souto , 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

It is now well established that at a superconductor/ferromagnet (S/F) interface an unconventional superconducting state arises in which the pairing state is odd-frequency. The hallmark signature of this superconducting state is generally…

Superconductivity · Physics 2015-10-28 J. Linder , J. W. A. Robinson

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

The conductance of a junction between a normal metal and a superconductor having the symmetry proposed by Berezinskii is studied theoretically. The main feature of this symmetry is the odd frequency dependence of the anomalous Green…

Superconductivity · Physics 2008-03-15 Ya. V. Fominov

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

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 theoretically study intrinsic superconductivity in doped Dirac semimetals. Dirac semimetals host bulk Dirac points, which are formed by doubly degenerate bands, so the Hamiltonian is described by a $4 \times 4$ matrix and six types of…

Superconductivity · Physics 2016-07-19 Tatsuki Hashimoto , Shingo Kobayashi , Yukio Tanaka , Masatoshi Sato

In this article we review recent progress in the understanding of multiband superconductivity and its relationship to odd-frequency pairing. We begin our discussion by reviewing the emergence of odd-frequency pairing in a simple two-band…

Superconductivity · Physics 2020-03-18 Christopher Triola , Jorge Cayao , Annica M. Black-Schaffer

We consider the model of superconducting pairing with the energy gap function which is odd over $k-k_{F}$.\ In this case superconductivity is possible even in the presence of an arbitrarily large point-like repulsion between electrons,\…

Condensed Matter · Physics 2007-05-23 E. Z. Kuchinskii , M. V. Sadovskii , M. A. Erkabaev

We analyze the topological properties of the possible superconducting states emerging from a Cd$_3$As$_2$-like, $\mathcal{C}_4$-symmetric Dirac semimetal, with two four-fold degenerate Dirac points separated in the $k_z$ direction. Unlike…

Superconductivity · Physics 2022-12-21 Zhenfei Wu , Yuxuan Wang

We point out that essentially all multi-band superconductors have an odd-frequency pairing component, as follows from a general symmetry analysis of even- and odd-frequency pairing states. We show that odd-frequency superconducting pairing…

Superconductivity · Physics 2014-05-22 Annica M. Black-Schaffer , Alexander V. Balatsky

Odd-parity pairings offer a natural pathway for realizing topological superconductivity. When two identical even-parity superconductors form a $\pi$-junction, the metallic material sandwiched between them experiences an effective odd-parity…

Superconductivity · Physics 2025-03-11 Yijie Mo , Xiao-Jiao Wang , Zhongbo Yan

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

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

In two-dimensional Dirac semimetals, Cooper pairing instability occurs only when the attractive interaction strength $|u|$ is larger than some critical value $|u_{c}|$ because the density of states vanishes at Dirac points. Disorders…

Superconductivity · Physics 2017-02-17 Jing Wang , Peng-Lu Zhao , Jing-Rong Wang , Guo-Zhu Liu

Doped Bi$_2$Se$_3$ is proposed to be a nematic superconductor originating from unusual inter-orbital pairing. We classify all induced superconducting pair correlations in Bi$_2$Se$_3$ and discover that intra-orbital odd-frequency pairing…

Superconductivity · Physics 2020-06-05 Johann Schmidt , Fariborz Parhizgar , Annica M. Black-Schaffer
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