A two-field mimetic gravity model has two scalar degrees of freedom, not one, and the extra entropy mode is a ghost when the fields have opposite-sign kinetic terms.
Superconducting Dark Matter
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abstract
We extend recently proposed mimetic dark matter (DM) and dust of dark energy (DE) models to a U(1)-charged gauged scalar field. This extension yields a mass to the photon via the Higgs mechanism. The square of this photon mass is proportional to the DM energy density. Thus dense DM environments can screen the dark vector force. There is a substantial freedom in this gauged extension of the irrotational fluid-like DM. This freedom enables one to model the classical London equation of superconductivity or to obtain the photon mass which remains constant during the matter-dominated \'epoque.
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Two-field mimetic gravity revisited and Hamiltonian analysis
A two-field mimetic gravity model has two scalar degrees of freedom, not one, and the extra entropy mode is a ghost when the fields have opposite-sign kinetic terms.