text: A possible framework to analyze the results presented 
  in the previous Section is suggested by Fig. 5, where we 
  i) high 
  can easily distinguish three signiﬁcant regions: 
  thickness, n > 16, where the ﬁlms substantially display a 
  bulk behaviour, with the single planes ordering tempera- 
  ture coinciding with the helical phase transition one; ii) 
  intermediate thickness, 6 ≤ n . 15, where the tempera- 
  ture corresponding to the onset of in-plane order, TC (n), 
  is still ≃ T Ho 
  N , but where the helical/fan arrangement sta- 
  bilizes only below a ﬁnite temperature TN (n) < TC (n); 
  iii) low thickness,1 ≤ n ≤ 5, where TC(n) . T Ho 
  N but no 
  fan phase is present at any temperature. 
  
  The scenario just outlined for n = 8 results to be cor- 
  rect in the thickness range 6 ≤ n . 15, where a clear 
  separation between TN (n) and TC(n) can be easily ﬁg- 
  ured out. In such temperature window, the strong sur- 
  face eﬀects produce a quasi-FM set-up of the magnetic 
  ﬁlm structure along the z-direction. While leaving to the 
  next Section a more detailed discussion of this regime, we 
  report in Fig. 5 a plot of TN (n) and TC(n) vs. n for all 
  the simulated thicknesses. The separation between the 
  two critical temperatures is maximum for n = 6, where 
  TN (6) = 38(4), that is TN (6) ∼ 1 
  3 TC(6). For ﬁlms with 
  less than six layers no fan order is observed, i.e. for n = 5 
  and below the chirality does not display any typical fea- 
  ture of fan ordering at any temperature below TC(n). As 
  a representative quantity we ﬁnally look at the rotation 