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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 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

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

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

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 consider normal-superconductor (NS) and superconductor-normal-superconductor (SNS) junctions based on one-dimensional nanowires with Rashba spin-orbit coupling and proximity-induced $s$-wave spin-singlet superconductivity and…

Mesoscale and Nanoscale Physics · Physics 2018-08-28 Jorge Cayao , Annica M. Black-Schaffer

We argue that odd-frequency triplet superconductivity can be conveniently realized in hybrid superconductor-ferromagnet (SF) structures with a ferromagnetic vortex. We demonstrate that due to proximity-induced long-range triplet pairing…

Superconductivity · Physics 2011-08-17 Mikhail S. Kalenkov , Andrei D. Zaikin , Victor T. Petrashov

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

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

Andreev interferometers, normal metal wires coupled to superconducting loops, display phase coherent changes as the magnetic flux through the superconducting loops is altered. Properties such as the electronic and thermal conductance of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 P. Cadden-Zimansky , Z. Jiang , V. Chandrasekhar

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

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

It is now well established that at a superconductor/ferromagnet (S/F) interface an unconventional superconducting state arises in which the pairing state is odd-frequency. The hallmark signature of this superconducting state is generally…

Superconductivity · Physics 2015-10-28 J. Linder , J. W. A. Robinson

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 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

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

We propose an all-electrical experimental setup to detect and manipulate the amplitude of odd-frequency pairing in a double quantum dot. Odd-frequency pair amplitude is induced from the breakdown of orbital symmetry when Cooper pairs are…

Mesoscale and Nanoscale Physics · Physics 2016-06-01 Pablo Burset , Bo Lu , Hiromi Ebisu , Yasuhiro Asano , Yukio Tanaka

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

We investigate odd-frequency superconducting correlations in normal-superconductor (NS) and short superconductor-normal-superconductor (SNS) junctions with the S region described by the Kitaev model of spinless fermions in one dimension. We…

Mesoscale and Nanoscale Physics · Physics 2019-09-26 Athanasios Tsintzis , Annica M. Black-Schaffer , Jorge Cayao

The nature of unconventional superconductivity is intimately linked to the microscopic nature of the pairing interactions. In this work, motivated by cubic heavy fermion compounds with embedded multipolar moments, we theoretically…

Superconductivity · Physics 2022-03-07 Adarsh S. Patri , Yong Baek Kim