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Two-band superconductivity has become an important topic over the last tenyears. Extensive experimental and theoretical studies started with MgB2 and arenow focused on the iron-based and other new superconductors. In this review, Idescribe how important thermodynamic, reversible mixed-state, and othersuperconducting properties are changed by two-band and, for comparison, byother effects such as anisotropy in a single-band material or an energy gapstructure different from the conventional s-wave symmetry. The work consists ofthree main parts, in which I review (i) theoretical models and what theypredict for experimentally accessible properties in the two-band and otherscenarios, (ii) experimental methods applied for investigating superconductingproperties and the results obtained in potential two-band materials, and (iii)materials, for which two- or multi-band superconductivity has been suggested.It is shown that two-band effects appear in most of the analyzed properties andthat they can be quite significant but usually fade away as interbandinteractions increase. Anisotropy often leads to similar modifications insingle-band superconductors, which is why the distinction of two-band andanisotropy effects is usually difficult, particularly when the temperaturedependence of the quantities is examined. In contrast, the field dependenteffects are more often different and thus more often allow a reliabledistinction between the models.

A review of two-band superconductivity: materials and effects on the thermodynamic and reversible mixed-state properties