Phase diagram of dirty two-band superconductors and observability of impurity-induced s+is state
Mihail Silaev, Julien Garaud, Egor Babaev
DOI 10.1103/PhysRevB.95.024517 · Physical Review B
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Abstract
We investigate the phase diagram of dirty two-band superconductors. This paper primarily focuses on the properties and observability of the time-reversal symmetry-breaking s+is superconducting states, which can be generated in two-band superconductors by interband impurity scattering. We show that such states can appear in two distinct ways. First, according to a previously discussed scenario, the s+is state can form as an intermediate phase at the impurity-driven crossover between s± and s++ states. We show that there is a second scenario where domains of the s+is state exists in the form of an isolated dome inside the s± domain, completely detached from the transition between s± and s++ states. We demonstrate that in both cases the s+is state generated by impurity scattering exists in an extremely small interval of impurity concentrations. Although this likely precludes direct experimental observation of the s+is state formation due to this mechanism, this physics leads to the appearance of a region inside both the s± and s++ domains with unusual properties due to softening of normal modes.
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