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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

The recently discovered APt$_3$P (A=Sr,Ca,La) family of superconductors offers a platform to study frequency dependent superconducting phenomena as the electron-phonon coupling varies from weak to strong. Here we perform ab initio…

Superconductivity · Physics 2020-06-24 Alex Aperis , Eiaki Morooka , Peter M. Oppeneer

We study fermionic superfluidity in a boson-single-species-fermion cold atom mixture. We argue that apart from the standard p-wave fermion pairing mediated by the phonon field of the boson gas, the system also exhibits s-wave pairing with…

Other Condensed Matter · Physics 2008-12-11 Ryan M. Kalas , Alexander V. Balatsky , Dmitry Mozyrsky

The thermodynamic stability of odd-frequency pairing states is investigated within an Eliashberg-type framework. We find the rigorous result that in the weak coupling limit a continuous transition from the normal state to a spatially…

Condensed Matter · Physics 2016-08-31 R. Heid

A class of singlet superconductors with a gap function $\Delta({\bf k}, \omega_n)$ which is {\it odd} in both momentum and Matsubara frequency was proposed recently \cite{ba}. To show an instability in the {\it odd} gap channel, a model…

Condensed Matter · Physics 2009-10-22 Elihu Abrahams , Alexander Balatsky , J. R. Schrieffer , Philip B. Allen

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 study the emergence of odd-frequency superconducting pairing in UPt$_3$. Starting from a tight-binding model accounting for the nonsymmorphic crystal symmetry of UPt$_3$ and assuming an order parameter in the $E_{2u}$ representation, we…

Superconductivity · Physics 2018-02-12 Christopher Triola , 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

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

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

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

A low-energy fixed-point Hamiltonian is constructed for the s-wave odd-frequency pairing state with staggered ordering vector in the two-channel Kondo lattice. The effective model is justified because it reproduces low-energy behaviors of…

Superconductivity · Physics 2014-10-03 Shintaro Hoshino

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

A theoretical study is presented on the odd-frequency spin-singlet pairing that arises in nonuniform even-frequency superconductors as a consequence of broken translation symmetry. The effect of the odd-frequency pairing on the superfluid…

Superconductivity · Physics 2014-05-13 S. Higashitani

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

Looking for superconductors with higher transition temperature requires a guiding principle. In conventional superconductors, electrons pair up into Cooper pairs via the retarded attraction mediated by electron-phonon coupling.…

Strongly Correlated Electrons · Physics 2015-11-11 Da Wang , Wan-Sheng Wang , Qiang-Hua Wang

We obtain the general conditions for the emergence of odd-frequency superconducting pairing in a two-dimensional (2D) electronic system proximity-coupled to a superconductor, making minimal assumptions about both the 2D system and the…

Mesoscale and Nanoscale Physics · Physics 2016-07-08 Christopher Triola , Driss M. Badiane , Alexander V. Balatsky , E. Rossi

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

The common wisdom that the phonon mechanism of electron pairing in the weak-coupling Bardeen-Cooper-Schrieffer (BCS) superconductors leads to conventional s-wave Cooper pairs is revised. An inevitable anisotropy of sound velocity in…

Superconductivity · Physics 2009-11-13 A. S. Alexandrov

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
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