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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-even staggering of binding energies is studied in finite fermion systems with pairing correlations. We discuss contributions of the pairing and mean-field to the staggering, and we construct the binding-energy filters which measure the…

Nuclear Theory · Physics 2009-11-06 J. Dobaczewski , P. Magierski , W. Nazarewicz , W. Satula , Z. Szymanski

It was previously suggested that an odd-frequency pair amplitude exists in the vicinity of boundaries in unconventional superconductors. We develop this idea and quest for a novel superconducting order parameter with an odd-frequency…

Superconductivity · Physics 2013-03-22 Masashige Matsumoto , Mikito Koga , Hiroaki Kusunose

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

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 Josephson current in superconductor / diffusive ferromagnet /superconductor junctions by using the recursive Green function method. When the exchange potential in a ferromagnet is sufficiently large as compared to the pair…

Superconductivity · Physics 2011-11-10 Yasuhiro Asano , Yuki Sawa , Yukio Tanaka , Alexander A. Golubov

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

A novel superconducting state under the broken time-reversal symmetry is studied in conventional phonon-mediated superconductors. By solving the Eliashberg equation self-consistently with the mass renormalization effect, it is found that…

Superconductivity · Physics 2012-03-14 Masashige Matsumoto , Mikito Koga , Hiroaki Kusunose

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

We study the one-dimensional attractive Fermionic Hubbard model under the influence of periodic driving with the time-dependent density matrix renormalization group method. We show that the system can be driven into an unconventional…

Quantum Gases · Physics 2017-02-08 Alberto Nocera , Anatoli Polkovnikov , Adrian E. Feiguin

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 odd-frequency superconducting state appears generally in hybrid structures consisting of conventional superconductors and other materials, and features electrons that form temporally non-local Cooper pairs. The quasiclassical theory of…

Superconductivity · Physics 2022-12-09 Hans Gløckner Giil , Jacob Linder

Identifying superconducting states of matter without prior assumptions is a central challenge in strongly correlated electron systems. We introduce a canonical framework for diagnosing the formation of Cooper pair condensates based on the…

Strongly Correlated Electrons · Physics 2026-01-28 Hannes Karlsson , Johannes S. Hofmann , Alexander Wietek

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…

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

Order parameters represent a fundamental resource to characterize quantum matter. We show that pair superfluids can be rigorously defined in terms of a nonlocal order parameter, named odd parity, which derivation is experimentally…

Quantum Gases · Physics 2025-02-12 Nitya Cuzzuol , Luca Barbiero , Arianna Montorsi

Using Majorana Fermions to represent spins we re-examine the Kondo Lattice model for heavy fermions. The simplest decoupling procedure provides a realization of odd frequency superconductivity, with resonant pairing and surfaces of gap…

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

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

We propose a physical scheme for the realization of two-dimensional topological odd-parity superfluidity in a spin-independent bond-centered square optical lattice based upon interband fermion pairing. The D4 point-group symmetry of the…

Quantum Gases · Physics 2017-11-15 Zhi-Fang Xu , Andreas Hemmerich , W. Vincent Liu

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