Bosons and fermions behave differently at finite temperature as they interact with an heat bath, and consequently supersymmetry is softly broken. The O( N) symmetric, supersymmetric model in d=3 studied here is known to demonstrate spontaneous breaking of scale invariance with no explicit breaking. This is observed in the spectrum by the appearance of bosonic and fermionic massless bound states at N → ∞. We discuss here those properties of the peculiar phase structure seen at T = 0 which are also maintained at finite temperature.