text: be achieved with diﬀerent number of interacting layers: 
  notably, nearest and next-nearest layers competitive in- 
  teractions are enough to get a helical structure with a 
  whatever pitch wavevector. Such observation gives us a 
  possible way to solve the conundrum previously emerged, 
  as we have the possibility of varying the range of inter- 
  actions without modifying the helical pitch, thus decou- 
  pling the two relevant length scales along the ﬁlm growth 
  direction, and making accessible a range of n of the or- 
  der of, or smaller than, the helical pitch, but still large 
  enough that a substantial number of layers can behave 
  as “bulk” layers. Therefore, while in the previous papers 
  we have studied the properties of ultrathin magnetic ﬁlms 
  of Ho assuming a model with six interlayer exchange in- 
  teractions, here we investigate by MC simulations the 
  properties of the same system by making use of the sim- 
  plest model Hamiltonian able to describe the onset of a 
  helical magnetic order in Holmium, i.e. we consider only 
  two inter-layer coupling constants, as previously done in 
  Ref. 11. 
  
  The paper is organized as follows: In Sec. II the model 
  Hamiltonian will be deﬁned, and the MC techniques, and 
  all the thermodynamic quantities relevant for this study, 
  will be introduced. In Sec. III the results obtained for 
  diﬀerent thicknesses will be presented, both in the matter 
  of the critical properties of the model and of the magnetic 
  ordered structures observed. Finally, in Sec. IV we shall 
  discuss such results, drawing also some conclusions. 