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We theoretically study the effects of spin-orbit interactions on symmetry of a Cooper pair in a spin-singlet d-wave superconductor in two-dimension. The pairing symmetry is analyzed in terms of the anomalous Green's function which is…

Superconductivity · Physics 2021-03-24 Jaechul Lee , Satoshi Ikegaya , Yasuhiro Asano

We discuss the appearance of odd-frequency spin-triplet s-wave superconductivity, first proposed by Berezinskii [{\it JETP} {\bf 20}, 287 (1974)], on the surface of a topological insulator proximity coupled to a conventional spin-singlet…

Superconductivity · Physics 2015-03-20 Annica M. Black-Schaffer , Alexander V. Balatsky

We investigate general structure of Landau free energy for stabilizing a novel superconducting state with both even-frequency and odd-frequency components in gap function. On the basis of the Luttinger-Ward functional, we elucidate an…

Superconductivity · Physics 2012-05-29 Hiroaki Kusunose , Masashige Matsumoto , Mikito Koga

Anomalous features of the proximity effect specific to diffusive normal metal / triplet superconductor (DN/TS) junctions are studied within the quasiclassical Green's function formalism. The pair amplitude $f_{N}$ as a function of energy…

Superconductivity · Physics 2015-06-25 Y. Tanaka , Y. Asano , A. A. Golubov , S. Kashiwaya

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

We study the proximity-induced superconducting correlations in a normal metal connected to a superconductor when the interface between them is spin-active and the normal metal is ballistic or diffusive. Remarkably, for any interface spin…

Superconductivity · Physics 2009-11-13 Jacob Linder , Takehito Yokoyama , Asle Sudbø , Matthias Eschrig

Under the assumption that superconducting pairing is driven by local d-p hybridization, we show that the superconducting state in iron-based superconductors is classified as an odd parity s-wave spin-singlet pairing state in a single…

Superconductivity · Physics 2013-03-18 Jiangping Hu , Ningning Hao , Xianxin Wu

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

We propose that the odd-frequency $s$ wave ($s^{\rm{odd}}$ wave) superconducting gap function, which is usually unstable in the bulk, naturally emerges at the edge of $d$ wave superconductors. This prediction is based on the surface spin…

Superconductivity · Physics 2021-06-28 Shun Matsubara , Yukio Tanaka , Hiroshi Kontani

We derive a boundary condition for the Nambu Keldysh Green's function in diffusive normal metal / unconventional superconductor junctions applicable for mixed parity pairing. Applying this theory to a 1d model of $s+p$-wave superconductor,…

Superconductivity · Physics 2022-06-27 Yukio Tanaka , Tim Kokkeler , Alexander Golubov

A possibility of the odd-frequency pairing in the strong-coupling electron-phonon systems is discussed. Using the Holstein-Hubbard model, we demonstrate that the anomalously soft Einstein mode with the frequency $\omega_{\rm…

Superconductivity · Physics 2015-05-20 Hiroaki Kusunose , Yuki Fuseya , Kazumasa Miyake

Enhanced proximity effect by mid gap Andreev resonant state (MARS) in a diffusive normal metal / insulator / triplet superconductor (DN/TS) junction is studied based on the Keldysh-Nambu quasiclassical Green's function formalism. By…

Superconductivity · Physics 2009-11-10 Y. Tanaka , S. Kashiwaya , T. Yokoyama

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

We analyze a possibility for odd-frequency pairing near a quantum critical point(QCP) in a metal. We consider a model with dynamical pairing interaction $V(\Omega_n)\sim 1/|\Omega_n|^\gamma$ (the $\gamma$-model). This interaction gives rise…

Strongly Correlated Electrons · Physics 2022-10-05 Yi-Ming Wu , Shang-Shun Zhang , Artem Abanov , Andrey V. Chubukov

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

Optimal choice of spin polarization enables electron injection into the helical edge state at a precise position, despite the uncertainty principle, permitting access to specific nonlocal Green's functions. We show, within 1D effective…

Mesoscale and Nanoscale Physics · Physics 2024-07-18 Subhajit Pal , Aabir Mukhopadhyay , Vivekananda Adak , Sourin Das

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

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

Josephson junctions coupled through magnetic textures provide a controllable platform for odd-frequency superconductivity and Majorana physics. Within a tight-binding Green function framework, induced pair correlations and spectral…

Superconductivity · Physics 2026-05-11 Ignacio Sardinero , Jorge Cayao , Rubén Seoane Souto , Pablo Burset

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