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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 time-reflection symmetry in periodically driven (Floquet) quantum systems enables an inherently nonequilibrium phenomenon structurally similar to quantum-mechanical sypersymmetry. In particular, we find Floquet analogues of the…

Strongly Correlated Electrons · Physics 2018-05-30 Thomas Iadecola , Timothy H. Hsieh

Having the potential for performing quantum computation, topological superconductors have been generalized to the second-order case. The hybridization of different orders of topological superconductors is attractive because it facilitates…

Superconductivity · Physics 2023-06-19 Hong Wu , Jun-Hong An

This paper discusses the origin of a nonuniform superconducting state in which Cooper pairs have a small but finite center-of-mass momentum. We analyze the instability of the normal state to such finite-momentum states using the pole of the…

Superconductivity · Physics 2026-05-25 Takumi Sato , Satoru Hayami , Shingo Kobayashi , Yasuhiro Asano

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

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

We first show the realization of exceptional points in a non-Hermitian superconducting system based on a conventional superconductor and then demonstrate that, surprisingly, the system hosts odd-frequency pairing, solely generated by the…

Superconductivity · Physics 2022-03-08 Jorge Cayao , Annica M. Black-Schaffer

Higgs modes emerge in superconductors as collective excitations of the order parameter amplitude when periodically driven by electromagnetic radiation. In this work, we develop a Floquet approach to study Higgs modes in superconductors…

Superconductivity · Physics 2024-06-05 Tobias Kuhn , Björn Sothmann , Jorge Cayao

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

We consider Josephson junctions formed by multiple superconductors with distinct phases and explore the formation of nonlocal or inter-superconductor pair correlations. We find that the multiple superconductor nature offers an additional…

Superconductivity · Physics 2024-05-08 Jorge Cayao , Pablo Burset , Yukio Tanaka

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

We propose theoretically how unconventional superconducting pairing in a repulsively interacting Hubbard ladder can be enhanced via the application of a Floquet driving. Initially the Hubbard ladder is prepared in its charge-density-wave…

Superconductivity · Physics 2020-08-05 Ameneh Sheikhan , Corinna Kollath

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

Periodically driven (Floquet) phases are attractive due to their ability to host unique physical phenomena with no static counterparts. We propose a general approach in nontrivially devising a square-root version of existing Floquet phases,…

Mesoscale and Nanoscale Physics · Physics 2022-08-25 Raditya Weda Bomantara

Odd-frequency Cooper pairs with chiral symmetry emerging at the edges of topological superconductors are a useful physical quantity for characterizing the topological properties of these materials. In this work, we show that the…

Superconductivity · Physics 2019-05-29 Shun Tamura , Shintaro Hoshino , Yukio Tanaka

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

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

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 discuss the instability of uniform superconducting states that contain the pairing correlations belonging to the odd-frequency symmetry class. The instability originates from the paramagnetic response of odd-frequency Cooper pairs and is…

Superconductivity · Physics 2024-10-17 Takumi Sato , Shingo Kobayashi , Yasuhiro Asano

Communal pairing in superconductors introduces variational freedom for Cooper pairs to share fermions. Temporal oscillations of the superconducting gap entropically drive communal pairing through the order by disorder phenomenology,…

Superconductivity · Physics 2021-04-07 Darryl Foo , Gareth Conduit
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