de Sitter Spacetime as a Natural Superconductor

Motivated by the studies done on magnetically induced superconduc- tivity on QCD vaccum we propose that de Sitter spacetime is a natural superconductor. This is due to the occurrence of spinor condensation. We provide a framework for joining the curvature of spacetime with super- conductor processes. We demonstrate that for a critical value of de Sitter radius unstable tachyon modes exist showing the existence of a supercon- ducting phase