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Unconventional superconductivity (SC) is said to occur when Cooper pair formation is dominated by repulsive electron-electron interactions, so that the symmetry of the pair wavefunction is other than isotropic s-wave. The strong, on-site,…

Superconductivity · Physics 2016-06-22 J. C. Séamus Davis , Dung-Hai Lee

The properties of the d-wave superconducting state in the two-dimensional system have been studied. It has been assumed, that the pairing mechanism is based on the electron-phonon and the electron-electron-phonon interactions. The obtained…

Superconductivity · Physics 2012-04-23 R. Szczȩśniak

We investigate the combined effect of Hund's and spin-orbit (SO) coupling on superconductivity in multi-orbital systems. Hund's interaction leads to orbital-singlet spin-triplet superconductivity, where the Cooper pair wave function is…

Superconductivity · Physics 2015-05-27 Christoph M. Puetter , Hae-Young Kee

This article reviews theoretical and experimental work on the novel physics in multiband superconductors. Multiband superconductors are characterized by multiple superconducting energy gaps in different bands with interaction between Cooper…

Superconductivity · Physics 2014-11-18 Shi-Zeng Lin

When both inversion and time-reversal symmetries are broken, the critical current of a superconductor can be nonreciprocal. In this work we show that in certain classes of two-dimensional superconductors with antisymmetric spin-orbit…

Superconductivity · Physics 2022-05-11 Noah F. Q. Yuan , Liang Fu

We study the topological properties of superconductors with paired $j=\frac{3}{2}$ quasiparticles. Higher spin Fermi surfaces can arise, for instance, in strongly spin-orbit coupled band-inverted semimetals. Examples include the Bi-based…

Superconductivity · Physics 2018-03-07 Jörn W. F. Venderbos , Lucile Savary , Jonathan Ruhman , Patrick A. Lee , Liang Fu

The article reviews recent developments on magnetic properties of superconductors with anisotropic Cooper pairing. In particular, we show how the concept of broken symmetries is applied to the investigation of the mixed state in…

Condensed Matter · Physics 2016-08-31 I. A. Luk'yanchuk , M. E. Zhitomirsky

The theoretical understanding of conventional superconductivity as the phonon-assisted formation and condensation of two-electron Cooper pairs is a significant triumph in condensed matter physics. Here, we propose many-electron…

Superconductivity · Physics 2026-01-01 Zi-Hao Dong , Yi Zhang

The pairing structure of superconducting materials is regulated by the point group symmetries of the crystal. Here, we study spin-singlet multiorbital superconductivity in materials with unusually low crystalline symmetry content and unveil…

Superconductivity · Physics 2023-06-21 Maria Teresa Mercaldo , Carmine Ortix , Mario Cuoco

Understanding exotic, non s--wave--like states of Cooper pairs is important and may lead to new superconductors with higher critical temperatures and novel properties. Their existence is known to be possible but has always been thought to…

Superconductivity · Physics 2015-06-17 Xiangang Wan , Sergey Y. Savrasov

The two-channel Anderson lattice model which has $SU(2)\otimes SU(2)$ symmetry is of relevance to understanding of the magnetic, quadrupolar and superconducting phases in U$_{1-x}$Th$_x$Be$_{13}$ or Pr base skutterudite compounds such as…

Superconductivity · Physics 2007-05-23 Frithjof B Anders

A new type of Kondo effect peculiar to unconventional superconductors is studied theoretically by using the Wilson's numerical renormalization group method. In this case, an angular momentum of a Cooper pair plays an important role in the…

Superconductivity · Physics 2009-11-07 Masashige Matsumoto , Mikito Koga

A new class of singlet superconductors with a gap function $\Delta(\bk, \omega_n)$ which is {\it odd} in both momentum and Matsubara frequency is considered. Some of the physical properties of this superconductivity are discussed and it is…

Condensed Matter · Physics 2007-05-23 Alexander Balatsky , Elihu Abrahams

The symmetry of the wave function describing the Cooper pairs is one of the most fundamental quantities in a superconductor but its measurement in the iron-based superconductors has proved to be very difficult. The complex multi-band nature…

Superconductivity · Physics 2015-06-17 Z. P. Yin , K. Haule , G. Kotliar

We propose a scenario for superconductivity at strong electron-electron attractive interaction, in the case when the increase of the interaction strength promotes the nucleation of the local Cooper pairs and forms a state with a spatially…

Superconductivity · Physics 2025-08-27 A. A. Zyuzin , A. Yu. Zyuzin

Multigap superconductivity emerges when superconducting gaps form on distinct Fermi surfaces. Arising from locally overlapping atomic orbitals, multiple superconducting bands introduce a new internal degree of freedom in the material that,…

The Kondo effect strongly depends on spin and orbital degrees of freedom of unconventional superconductivity. We focus on the Kondo effect in the $p_x + i p_y$-wave and $d_{x^2 - y^2} + i d_{xy}$-wave superconductors to compare the magnetic…

Strongly Correlated Electrons · Physics 2009-11-07 Mikito Koga , Masashige Matsumoto

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

The interplay between magnetism and superconductivity is one of the central topics of condensed matter physics, which has recently been put into new light by the discovery of altermagnets. Here, we study this interplay from a fundamental…

Superconductivity · Physics 2025-07-16 Kirill Parshukov , Andreas P. Schnyder

We employ a systematic approach to construct superconducting order parameters based on the spin space group. Compared to magnetic space groups where spatial and spin rotation of elements are completely locked, the superconducting channels…

Mesoscale and Nanoscale Physics · Physics 2025-02-21 Xilin Feng , Zhongyi Zhang