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We present a microscopic theory of fluctuation-mediated pairing mechanism in a two-dimensional extended Hubbard model. In contrast to conventional wisdom, odd-frequency spin-triplet pairing can be stabilized near the spin-density-wave…

Superconductivity · Physics 2008-06-27 Keiji Yada , Seiichiro Onari , Yukio Tanaka , Kazumasa Miyake

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

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 discuss odd-frequency Cooper pairs appearing in two-band superconductors by solving the Gor'kov equation analytically. We introduce the equal-time $s$-wave pair potentials as realized in MgB$_2$ and iron pnictides. Although the order…

Superconductivity · Physics 2020-07-21 Yasuhiro Asano , Akihiro Sasaki

A possibility of the odd-frequency pairing in the strong-coupling electron-phonon systems is discussed. Using the Holstein-Hubbard model, we demonstrate that the anomalously soft Einstein mode with the frequency $\omega_{\rm…

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

Odd-frequency pairing is an unconventional type of Cooper pairing in superconductors related to the frequency dependence of the corresponding anomalous Green function. We show by a combination of analytical and numerical methods that…

Superconductivity · Physics 2024-05-21 Shun Tamura , Viktoriia Kornich , Björn Trauzettel

Even- and odd-frequency superconductivity coexist due to broken time-reversal symmetry under magnetic field. In order to describe this mixing, we extend the linearized Eliashberg equation for the spin and charge fluctuation mechanism in…

Superconductivity · Physics 2018-01-17 Kiyu Fukui , Yusuke Kato

We analyze a possibility for odd-frequency pairing near a quantum critical point(QCP) in a metal. We consider a model with dynamical pairing interaction $V(\Omega_n)\sim 1/|\Omega_n|^\gamma$ (the $\gamma$-model). This interaction gives rise…

Strongly Correlated Electrons · Physics 2022-10-05 Yi-Ming Wu , Shang-Shun Zhang , Artem Abanov , Andrey V. Chubukov

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

Odd frequency (odd-$\omega$) electron pair correlations naturally appear at the interface between BCS superconductors and other materials. The detection of odd-$\omega$ pairs, which are necessarily non-local in time, is still an open…

Mesoscale and Nanoscale Physics · Physics 2020-11-11 R. Seoane Souto , D. Kuzmanovski , A. V. Balatsky

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…

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

Using a simple theoretical model, we demonstrate the emergence of odd-frequency pair amplitudes in conventional Josephson junctions both in the absence of a voltage (DC effect) and in the presence of a finite voltage (AC effect). In both…

Superconductivity · Physics 2018-04-20 Alexander V. Balatsky , Sergey S. Pershoguba , Christopher Triola

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

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

The new form of the composite operator generalizing the Cooper pairs for a BCS superconductor is introduced. The approach is similar to the derivation of the composite operator of the odd - frequency superconductors. The examples of the…

Condensed Matter · Physics 2008-02-03 J. Bonca , A. 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

Odd-frequency Cooper pairs are gathering attention for the convenience of investigating the edge state of topological superconductors including Majorana fermions. Although a spinless p-wave superconductor has only one Majorana fermion in a…

Superconductivity · Physics 2022-06-08 Daijiro Takagi , Maria Teresa Mercaldo , Yukio Tanaka , Mario Cuoco

Odd-frequency superconductivity describes a class of superconducting states where the superconducting gap is an odd function in relative time and Matsubara frequency. We present a group theoretical analysis based on the linearized gap…

Superconductivity · Physics 2018-01-17 R. Matthias Geilhufe , Alexander V. Balatsky

The Su-Schrieffer-Heeger model describes fermions that hop on a one-dimensional chain with staggered hopping amplitude, where the unit cell contains two sites, or two sublattices. In this work we consider the Su-Schrieffer-Heeger model with…

Mesoscale and Nanoscale Physics · Physics 2020-06-09 Shun Tamura , Sho Nakosai , Annica M. Black-Schaffer , Yukio Tanaka , Jorge Cayao
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