tained at the same thickness for the model with six cou-
pling constants along thez direction14,15. Indeed, for
the J1-J2 model here investigated, we observe that all
layers order at the same temperature, and we do not ﬁnd
any hint of the block-phase, with inner disordered planes
intercalated to antiparallelquasi-FM four-layer blocks,
previously observed; sample MC runs we made using the
samehcp lattice employed in Refs. 14,15 shows that the
presence or absence of the block phase is not related to
the lattice geometry, but it is a consequence of the inter-
action range only.
We now move to describe and discuss MC simulation
data for thinner samples. A graphical synthesis of the
results obtained forn = 8 in reported in Fig. 4a-d. The
speciﬁc heat cv, shown in Figs. 4a, reveals very small
ﬁnite-size eﬀects, which, however, cannot be unambigu-
ously detected for the largest lattice size (L = 64), as
they fall comfortably within the error range. Surpris-
ingly, the speciﬁc heat maximum is located close to the
bulk transition temperature as found forn = 16, and