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We construct the generalized superconductors from the coupling of a scalarfield to the Einstein tensor in the massive gravity and investigate theirnegative refraction in the probe limit. We observe that the larger gravitonmass and Einstein tensor coupling parameters both hinder the formation of thecondensation, but the larger graviton mass or smaller coupling parameter makesit easier for the emergence of the Cave of Winds. Furthermore, we see that thelarger graviton mass but smaller coupling parameter make the range offrequencies or the range of temperatures larger for which a negativeDepine-Lakhtakia index occurs, which indicates that the graviton mass andEinstein tensor have completely different effects on the negative refraction.In addition, we find that the larger graviton mass and coupling parameters bothcan reduce the dissipation and improve the propagation in the holographicsetup.

Generalized superconductors from the coupling of a scalar field to the Einstein tensor and their refractive index in massive gravity