2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/203083We derive a new exact self-consistent crystalline condensate in the 1+1 dimensional chiral Gross-Neveu model. This also yields a new exact crystalline solution for the one dimensional Bogoliubov-de Gennes equations and the Eilenberger equation of semiclassical superconductivity. We show that the functional gap equation can be reduced to a solvable nonlinear equation, and discuss implications for the temperature-chemical potential phase diagram.5 pages, 5 figures; v2 minor corrections, version for PRLHigh Energy Physics - TheorySuperconductivityHigh Energy Physics - LatticeHigh Energy Physics - PhenomenologyQuantum Physicstext