  A limiting temperature of a species can cause the Universe to asymptote to it
yielding a deSitter (dS) phase due to macroscopic emergent behavior. The
limiting temperature is generic for theories slightly shifted from their
conformal point. We demonstrate such behavior in the example of
unparticles/Banks-Zaks theory. The unparticles behave like radiation at high
energies reducing the Hubble tension, and a cosmological constant (CC) at low
energies yielding a model that follows closely {\Lambda}CDM model but due to
collective phenomenon. It is technically natural and avoids the no-dS
conjecture. The model is free of the coincidence and initial conditions
problems, of scalar fields and of modified gravity.
