In a brief history of the discovery of antiferroelectricity in liquid
crystals, the important role played by tristable switching, i.e. an el
ectric field induced phase transition from antiferroelectric SC(A) to
ferroelectric SC, has been emphasised and the antiferroelectric herr
ingbone structure of SC(A) has been presented. Then we have explained
how to identify the subphases in the SC region, eg. SC(gamma)*, SC(a
lpha); the clarification of the subphase structures is essential for
understanding antiferroelectricity in liquid crystals. After summarizi
ng the evidence for the SC(A) structure presented, we have suggested
the pair formation of transverse dipole moments in adjacent smectic la
yers as the cause of its antiferroelectricity, showing that the smecti
c layer is much closer to the usual picture of molecules lying on equi
distant planes; the packing entropy due to the sinusoidal density wave
character stabilizes ferroelectric SC. The competition between the i
nteractions stabilizing SC(A) and SC* is responsible for the occurren
ce of several varieties of ferrielectric and antiferroelectric subphas
es, which constitutes the Devil's staircase. We have further suggested
that the essentials of the SC(alpha) phase are its considerably redu
ced ability to form SC(A) and SC*. At least when the spontaneous pola
rization is zero, SC(alpha) is a smectic C-like phase with molecular
tilting that is non-correlated on the visible wavelength scale When th
e spontaneous polarization is not zero, as suggested by Prost and Brui
nsma recently, a novel type of Coulomb interaction between smectic lay
ers due to the collective polarization fluctuations causes the antifer
roelectricity in the high-temperature region of SC(alpha); the compet
ition between this antiferroelectricity and the SC ferroelectricity m
ay form another staircase, causing the complexity in SC(alpha). Appli
cations and some future problems have been described in the final sect
ion.