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We show that the Cooper pair wave function at the center of an Abrikosov vortex with vorticity m has different parity with respect to frequency from that in the bulk if m is an odd number and has the same parity if m is an even number. As a…

Superconductivity · Physics 2009-11-13 Takehito Yokoyama , Yukio Tanaka , Alexander A. Golubov

Topological superconductors give rise to unconventional superconductivity, which is mainly characterized by the symmetry of the superconducting pairing amplitude. However, since the symmetry of the superconducting pairing amplitude is not…

Superconductivity · Physics 2018-05-09 C. Fleckenstein , N. Traverso Ziani , B. Trauzettel

We introduce the concept of Floquet odd-frequency superconducting pairs and establish their emergence in time-periodic conventional superconductors, where the continuous time-translation invariance is broken. We show that these exotic…

Superconductivity · Physics 2021-03-09 Jorge Cayao , Christopher Triola , Annica M. Black-Schaffer

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

Using selection rules imposed by the Pauli principle, we classify pairing correlations according to their symmetry properties with respect to spin, momentum, and energy. We observe that inhomogeneity always leads to mixing of even- and…

Superconductivity · Physics 2007-05-23 M. Eschrig , T. Lofwander , T. Champel , J. C. Cuevas , J. Kopu , Gerd Schön

Contacting a bilayer ferromagnet with a singlet even-frequency superconductor allows for the realization of an effective triplet odd-frequency superconductor. In this work, we investigate the Josephson effect between superconductors with…

Mesoscale and Nanoscale Physics · Physics 2015-09-23 Caroline Richard , Alexandre Buzdin , Manuel Houzet , Julia S. Meyer

Monolayer superconducting transition metal dichalcogenide NbSe$_2$ is a candidate for a nodal topological superconductor by magnetic field. Because of the so-called Ising spin-orbit coupling that strongly pins the electron spins to the…

Superconductivity · Physics 2018-07-24 Mojtaba Rahimi Aliabad , Mohammad-Hossein Zare

We study superconductivity in spin-orbit-coupled systems in the vicinity of inversion symmetry breaking. We find that due to the presence of spin-orbit coupling, fluctuations of the incipient parity-breaking order generate an attractive…

Superconductivity · Physics 2015-11-18 Vladyslav Kozii , Liang Fu

Superconductivity is a phenomenon where the macroscopic quantum coherence appears due to the pairing of electrons. This offers a fascinating arena to study the physics of broken gauge symmetry. However, the important symmetries in…

Superconductivity · Physics 2015-03-19 Yukio Tanaka , Masatoshi Sato , Naoto Nagaosa

We discuss a close relationship between a quasiparticle on the Bogoliubov Fermi surface and an odd-frequency Cooper pair in a superconductor in which a Cooper pair consisting of two j=3/2 electrons forms the pseudospin-quintet even-parity…

Superconductivity · Physics 2021-09-20 Dakyeong Kim , Shingo Kobayashi , Yasuhiro Asano

The formation of electron pairs is a prerequisite of superconductivity. The fermionic nature of electrons yields four classes of superconducting correlations with definite symmetry in spin, space and time. Here, we suggest double quantum…

Mesoscale and Nanoscale Physics · Physics 2014-12-02 Björn Sothmann , Stephan Weiss , Michele Governale , Jürgen König

We show that Cooper pairing can occur intrinsically away from the Fermi surface in $j=3/2$ superconductors with strong spin-orbit coupling and equally curved bands in the normal state. In contrast to conventional pairing between spin-$1/2$…

Superconductivity · Physics 2022-02-15 Masoud Bahari , Song-Bo Zhang , Björn Trauzettel

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

We study the pairing of fermions by an interaction consisting of a Hubbard repulsion, mimicking a screened Coulomb potential, and a dynamical phonon-mediated attraction. For such interaction, the gap equation allows even- and odd-frequency…

Superconductivity · Physics 2022-09-28 Dimitri Pimenov , Andrey V. Chubukov

We study small oscillations of the order parameter in weakly and strongly paired superconductors driven slightly out of equilibrium, in the collisionless approximation. While it was known for quite some time that the amplitude of the…

Quantum Gases · Physics 2009-08-22 V. Gurarie

Rapid miniaturization of electronic devices and circuits demands profound understanding of fluctuation phenomena at the nanoscale. Superconducting nanowires -- serving as important building blocks for such devices -- may seriously suffer…

Mesoscale and Nanoscale Physics · Physics 2021-07-06 Konstantin Yu. Arutyunov , Janne S. Lehtinen , Alexey Radkevich , Andrew G. Semenov , Andrei D. Zaikin

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

I present a simple analytical model describing the normal state of a superconductor with a pseudogap in the density of states, such as in underdoped cuprates. In nearly two-dimensional systems, where the superconducting transition…

Superconductivity · Physics 2009-10-30 O. Tchernyshyov

We analyze symmetries and magnetic properties of Cooper pairs appearing as subdominant pairing correlations in inhomogeneous superconductors, on the basis of the quasiclassical Green-function theory. The frequency symmetry, parity, and the…

Superconductivity · Physics 2014-11-05 Yasuhiro Asano , Yakov V. Fominov , Yukio Tanaka

Confirmation of the phononic origin of Cooper pair formation in superconductors came with the demonstration that the interaction was retarded and that the corresponding energy scales were associated with phonons. Using cellular dynamical…

Superconductivity · Physics 2010-02-15 B. Kyung , D. Sénéchal , A. -M. S. Tremblay
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