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The bilayer Hubbard model with an intra-layer hopping $t$ and an inter-layer hopping $t_\perp$ provides an interesting testing ground for several aspects of what has been called unconventional superconductivity. One can study the type of…

Superconductivity · Physics 2011-07-20 T. A. Maier , D. J. Scalapino

The spin-orbit (SO) coupling is conventionally known to manifest as \emph{odd} functions of momentum. Here, through both model calculations and symmetry analysis along with the method of invariants, we reveal that, in ordinary semiconductor…

Mesoscale and Nanoscale Physics · Physics 2025-11-11 Hao Yang , Wei Wang , Gerson J. Ferreira , Ning Hao , Ping Zhang , Jiyong Fu

In conventional superconductors, electrons of opposite spins are bound into Cooper pairs. However, when the superconductor is in contact with a non-uniformly ordered ferromagnet, an exotic type of superconductivity can appear at the…

Fermi-surface spin splitting generated by non-relativistic exchange fields provides a new route to topological superconductivity without relying on strong spin-orbit coupling. Here, we study superconducting instabilities of a square-lattice…

Strongly Correlated Electrons · Physics 2026-05-05 Kyoung-Min Kim , Gibaik Sim , Moon Jip Park

In unconventional superconductors, inversion and/or time-reversal symmetries may be broken, either extrinsically or spontaneously. Here, we consider a simple BCS model with both attractive singlet and attractive triplet pairing channels. We…

Superconductivity · Physics 2025-09-16 Maitê Kessler de Azambuja , David Möckli

A growing body of literature suggests that odd-frequency superconducting pair amplitudes can be generated in normal metal-superconductor junctions. The emergence of odd-frequency pairing in these systems is often attributed to the breaking…

Superconductivity · Physics 2019-10-22 Christopher Triola , Annica M. Black-Schaffer

Transition metal dichalcogenides (TMDs) hold relevance for spin-triplet superconducting phases due to their inherent Ising spin-orbit coupling, but the majority of studies have so far focused on oversimplified models. In this work, we…

Superconductivity · Physics 2026-01-30 Florian Kayatz , Annica M. Black-Schaffer , Jorge Cayao

I review theoretical ideas and implications of experiments for the gap structure and symmetry of the Fe-based superconductors. Unlike any other class of unconventional superconductors, one has in these systems the possibility to tune the…

Superconductivity · Physics 2016-01-12 P. J. Hirschfeld

Complex phase diagrams are generic feature of quantum materials that display high temperature superconductivity. In addition to d-wave superconductivity (or other unconventional states), these phase diagrams typically include various forms…

Superconductivity · Physics 2025-07-29 Eduardo Fradkin

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 analyze the pairing instability of an altermagnetic metal on a square lattice driven by an attractive nearest-neighbor interaction. This interaction enables multiple pairing channels, including even-parity extended $s$-wave and $d$-wave…

Superconductivity · Physics 2026-03-16 Hui Hu , Zhao Liu , Jia Wang , Xia-Ji Liu , Yoji Ohashi

An important challenge in condensed matter physics is understanding iron-based superconductors. Among these systems, the iron selenides hold the record for highest superconducting transition temperature and pose especially striking puzzles…

Superconductivity · Physics 2017-06-06 Emilian M. Nica , Rong Yu , Qimiao Si

Two-dimensional transition metal dichalcogenides entwine interaction, spin-orbit coupling, and topology. Hole-doped systems lack spin degeneracy: states are indexed with spin and valley specificity. This unique structure offers new…

Superconductivity · Physics 2017-06-27 Evan Sosenko , Junhua Zhang , Vivek Aji

We study the transformation properties of the electron states in crystals with spin-orbit coupling, focusing primarily on the limitations of the frequently used pseudospin-1/2 description of twofold degenerate Bloch bands. Using the…

Strongly Correlated Electrons · Physics 2019-06-26 K. V. Samokhin

Three band crossings can arise in three dimensional quantum materials with certain space group symmetries. The low energy Hamiltonian supports spin $\textit{one}$ fermions and a flat band. We study the pairing problem in this setting. We…

Strongly Correlated Electrons · Physics 2018-05-02 Yu-Ping Lin , Rahul M. Nandkishore

We have studied a general property of unconventional superconductors with spin-orbit coupling by solving the Bogoliubov-de Gennes equation and found that the two of four eigenfunctions for triplet pairing coincide with those for s-wave…

Superconductivity · Physics 2009-11-11 T. Yokoyama , Y. Tanaka , J. Inoue

Recent $\mu$SR measurements revealed remarkable signatures of spontaneous magnetism coexisting with superconductivity in elemental rhenium. Here we provide a quantitative theory that uncovers the nature of the superconducting instability by…

Superconductivity · Physics 2023-10-12 Gábor Csire , James Annett , Jorge Quintanilla , Balázs Újfalussy

We show that an additional triplet component of the order parameter is generated in the vortex phase of the d-wave superconductor. Spatial variations of the triplet component are analyzed for a strong spin-orbit coupling. Corrections to the…

Superconductivity · Physics 2008-11-19 V. V. Kabanov

In this work we study interacting electrons on square lattice in the presence of strong Rashba spin-orbit interaction. The spin-orbit term forces the time-reversal electron states to be paired in even Cooper channels. For concreteness, we…

Strongly Correlated Electrons · Physics 2019-03-27 Rasoul Ghadimi , Mehdi Kargarian , S. Akbar Jafari

Interfaces between materials with differently ordered phases present unique opportunities to study fundamental problems in physics. One example is the interface between a singlet superconductor and a half-metallic ferromagnet, where Cooper…

Superconductivity · Physics 2011-09-22 M. Eschrig , T. Löfwander