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We present the results of theoretical analysis of normal impurities effects in superconductors with the gap being an odd function of k-k_{F}. This model proposed by Mila and Abrahams leads to the possibility of pairing in the presence of…

Condensed Matter · Physics 2008-02-03 E. Z. Kuchinskii , M. V. Sadovskii

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

We revisit the question of nature of odd-frequency superconductors, first proposed by Berezinskii in 1974. \cite{berezinskii1974} We start with the notion that order parameter of odd-frequency superconductors can be thought of as a time…

Superconductivity · Physics 2015-05-13 Hari P. Dahal , E. Abrahams , D. Mozyrsky , Y. Tanaka , A. V. Balatsky

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

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

In the quest of why there should be a single transition temperature in a multi-gapped system like Fe-based materials we use two band model for simplicity. The model comprises of spin density wave (SDW), orbital density wave (ODW) arising…

Superconductivity · Physics 2014-08-06 Smritijit Sen , Haranath Ghosh

We explore the role of proximity-induced odd-frequency pairing in the thermoelectricity of a ferromagnet when coupled to a conventional $s$-wave spin-singlet superconductor through a spin-active interface. By varying both the polarization…

Superconductivity · Physics 2020-09-18 Paramita Dutta , Kauê R. Alves , Annica M. Black-Schaffer

We investigate the emergence and consequences of odd-frequency spin-triplet s-wave pairing in superconducting hybrid junctions at the edge of a two-dimensional topological insulator without any magnetism. More specifically, we consider…

Mesoscale and Nanoscale Physics · Physics 2017-10-11 Jorge Cayao , Annica M. Black-Schaffer

The odd-frequency superconducting state appears generally in hybrid structures consisting of conventional superconductors and other materials, and features electrons that form temporally non-local Cooper pairs. The quasiclassical theory of…

Superconductivity · Physics 2022-12-09 Hans Gløckner Giil , Jacob Linder

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

Pair spin-orbit interaction can emerge in strongly-interacting systems characterized by a large spin-orbit coupling. Here we study the role of this interaction in stabilizing ordered and unconventional superconducting phases. We find that,…

Superconductivity · Physics 2025-07-30 Feng Liu , Alessandro Principi

We present a necessary condition for odd-frequency (odd-f) superconductivity (SC) to occur in a large class of materials described by Eliashberg theory. We use this condition to prove a no-go theorem ruling out the occurrence of odd-f SC in…

Superconductivity · Physics 2022-07-06 Edwin Langmann , Christian Hainzl , Robert Seiringer , Alexander V. Balatsky

The Su-Schrieffer-Heeger model describes fermions that hop on a one-dimensional chain with staggered hopping amplitude, where the unit cell contains two sites, or two sublattices. In this work we consider the Su-Schrieffer-Heeger model with…

Mesoscale and Nanoscale Physics · Physics 2020-06-09 Shun Tamura , Sho Nakosai , Annica M. Black-Schaffer , Yukio Tanaka , Jorge Cayao

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

Most superconducting mechanisms pair electrons within the same band, forming spin singlets. However, the discovery of multi-band superconductivity has opened new scenarios for pairing, particularly in systems with strong spin-orbit…

Interband pairing in multiband superconductors is often neglected because of its higher energetic cost compared with intraband pairing. We show that, in multiband systems, a Zeeman magnetic field can stabilize interband pairing through the…

Superconductivity · Physics 2026-03-10 Shohei O. Shingu , Jun Goryo

Understanding the nature of Cooper pairs is essential to describe the properties of superconductors. The original proposal of Bardeen, Cooper, and Schrieffer (BCS) was based on electrons pairing with same energy and zero center-of-mass…

Superconductivity · Physics 2023-01-11 Debmalya Chakraborty , Annica M. Black-Schaffer

In this letter, we investigate topological phases of full-gapped odd-parity superconductors, which are distinguished by the bulk topological invariants and the topologically protected gapless boundary states. Using the particle-hole…

Superconductivity · Physics 2010-10-20 Masatoshi Sato

We investigate the mutual proximity effect in a normal metal contacted to a superconductor through a magnetic interface. Analytical and self-consistent numerical results are presented, and we consider both the diffusive and ballistic…

Superconductivity · Physics 2015-05-18 Jacob Linder , Asle Sudbø , Takehito Yokoyama , Roland Grein , Matthias Eschrig

Unconventional superconductivity or superfluidity are among the most exciting and fascinating quantum states in condensed matter physics. Usually these states are characterized by non-trivial spatial symmetry of the pairing order parameter,…

Quantum Gases · Physics 2018-04-11 Maksims Arzamasovs , Bo Liu
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