The coolest thermally emitting NSs with available  B + RX J1856.5-3754
[1] Burwitz et al, 2001; [2] Drake et al, 2002; [3] Paerels et al, 2001; [4]Zane et al, 2002; [5} Hambaryan et al, 2002; [6] Pavlov et al, 2001; [7] Taylor et al, 1993; [8] Halpern & Wang, 1997; [9] Bignami & Caraveo, 1996; [10] Marshall & Schulz 2002; [11] Greivendilger et al, 1996.
Most Isolated Neutron Stars have T well in excess of THcrit :
Þ if surface layers are H-dominated  an atmosphere is unavoidable.

But: if some objects have not accreted much gas: 
Þ we may detect thermal emission directly from the iron surface layers
Þ depending on B the outer layers of RX J1856.5-3754 might be in form of condensed matter ! 
SPECTRUM? 
Critical T for H and Fe. Condensation is possible in the shaded region for Fe and in the cross-hatched region  for H. Filled circles are the NSs listed in the table. The horizontal line is the color temperature of RX J1856.5-3754