We consider experimental and theoretical studies of Ising superconductivity. This new field in the physics of superconductivity was given impetus by the discovery of unusual properties in layered molybdenum disulfide (MoS₂) exhibiting an unprecedentedly high upper critical magnetic field B_c2, exceeding the paramagnetic Pauli limit six fold. It turns out that this is due to the properties of the crystal lattice of two-dimensional monolayers inducing Ising and Rashba spin—orbit coupling. Features of the crystal structure lead to a possible coexistence of singlet and triplet pairing and to the emergence of topological phases. Some options for searching for the Majorana fermion formations at the ends of long one-dimensional wires on the surface of an Ising superconductor are discussed.

Keywords: layered structures with triangular layers, Ising spin—orbit coupling, Rashba spin—orbit coupling, singlet and triplet Cooper pairs, topological states PACS: 74.78.−w DOI: 10.3367/UFNe.2024.06.039696 URL: https://ufn.ru/en/articles/2025/6/a/ 001570951300001 2-s2.0-105011866839 2025PhyU...68..537O Citation: Ovchinnikov S G "Ising superconductivity" Phys. Usp. 68 537–550 (2025) BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks @article{Ovchinnikov:2025, author = {S. G. Ovchinnikov}, title = {Ising superconductivity}, publisher = {Physics-Uspekhi}, year = {2025}, journal = {Phys. Usp.}, volume = {68}, number = {6}, pages = {537-550}, url = {https://ufn.ru/en/articles/2025/6/a/}, doi = {10.3367/UFNe.2024.06.039696} } Received: 15th, May 2024, revised: 20th, June 2024, accepted: 22nd, June 2024 Оригинал: Овчинников С Г «Изинговская сверхпроводимость» УФН 195 569–583 (2025); DOI: 10.3367/UFNr.2024.06.039696