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Recent experiments have demonstrated that the metamaterial approach iscapable of drastic increase of the critical temperature Tc of epsilon near zero(ENZ) metamaterial superconductors. For example, tripling of the criticaltemperature has been observed in Al-Al2O3 ENZ core-shell metamaterials. Here,we perform theoretical modelling of Tc increase in metamaterial superconductorsbased on the Maxwell-Garnett approximation of their dielectric responsefunction. Good agreement is demonstrated between theoretical modelling andexperimental results in both aluminium and tin-based metamaterials. Takingadvantage of the demonstrated success of this model, the critical temperatureof hypothetic niobium, MgB2 and H2S-based metamaterial superconductors isevaluated. The MgB2-based metamaterial superconductors are projected to reachthe liquid nitrogen temperature range. In the case of an H2S-based metamaterialTc appears to reach ~250K.

Theoretical modeling of critical temperature increase in metamaterial superconductors